Pierre-Alexandre Bliman, Nga Nguyen, Nicolas Vauchelet. Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models. 2024. (hal-04525237⟩
Hakim Boumaza, Olivier Lafitte. Analytic expression of the DOS for a new model of 1d-potential and its random perturbation. 2024. (hal-04518643⟩
Matthieu Clertant, Nolan Wages, John O'Quigley. Semiparametric Dose Finding Methods for Partially Ordered Drug Combinations. Statistica Sinica, 2023, (10.5705/ss.202020.0248⟩. ⟨hal-03913937⟩
Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters. Memoirs of the American Mathematical Society, 2023, 285 (1411), (10.1090/memo/1411⟩. ⟨hal-04307478⟩
Tristan Roy, Hatem Zaag. The blow-up rate for a loglog non-scaling invariant semilinear wave equation. 2023. (hal-04307461⟩
Yi C. Huang, Hatem Zaag. Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors. Journal of Evolution Equations, In press. (hal-03873061⟩
Julien Barral, Stéphane Seuret. The Frisch-Parisi conjecture I: Prescribed multifractal behavior, and a partial solution. Journal de Mathématiques Pures et Appliquées, 2023, 175, pp.76-108. (10.1016/j.matpur.2023.05.003⟩. ⟨hal-02899957v2⟩
Safaa Al-Ali, John Chaussard, Sébastien Li-Thiao-Té, Éric Ogier-Denis, Alice Percy-Du-Sert, et al.. Detection of ulcerative colitis lesions from weakly annotated colonoscopy videos using bounding boxes. 2023. (hal-04307455⟩
Frank Merle, Hatem Zaag. On degenerate blow-up profiles for the subcritical semilinear heat equation. Journal of the European Mathematical Society, In press. (hal-03873073⟩
Luis Almeida, Jesús Bellver, Gwenaël Peltier, Nicolas Vauchelet. Optimal strategies for mosquitoes replacement strategy: influence of the carrying capacity on spatial releases. 2023. (hal-04196465⟩
Laurent Demanet, Olivier Lafitte. The reflection coefficient of a fractional reflector. 2023. (hal-04093250⟩
Safaa Al-Ali, John Chaussard, Sébastien Li-Thiao-Té, Éric Ogier-Denis, Alice Percy-Du-Sert, et al.. Detection of ulcerative colitis lesions from weakly annotated colonoscopy videos using bounding boxes. 2023. (hal-04308478⟩
Julien Barral, Stéphane Seuret. The Frisch-Parisi conjecture II: Besov spaces in multifractal environment, and a full solution. Journal de Mathématiques Pures et Appliquées, 2023, 175, pp.281-329. (10.1016/j.matpur.2023.05.010⟩. ⟨hal-04278010⟩
Giao Ky Duong, Tej-Eddine Ghoul, Hatem Zaag. Sharp equivalent for the blowup profile to the gradient of a solution to the semilinear heat equation. Discrete and Continuous Dynamical Systems - Series A, 2023, (10.3934/dcds.2023136⟩. ⟨hal-03418325⟩
Nicolas Meunier, Philippe Souplet. Convergence, concentration and critical mass phenomena in a chemotaxis model with boundary signal production for eukaryotic cell migration. 2023. (hal-04360811⟩
Asma Azaiez, Mondher Benjemaa, Aida Jrajria, Hatem Zaag. An explicit discontinuous Galerkin method for blow-up solutions of nonlinear wave equations. Turkish Journal of Mathematics, 2023, 47 (3), pp.1015-1038. (10.55730/1300-0098.3408⟩. ⟨hal-03090639⟩
Elie Cerf. The minimal quasi-stationary distribution of the absorbed M/M/∞ queue. 2023. (hal-04161193⟩
Mondher Benjemaa, Aida Jrajria, Hatem Zaag. Rescaling method for blow-up solutions of nonlinear wave equations. 2023. (hal-04307463⟩
Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Modulation theory for the flat blowup solutions of nonlinear heat equation. Communications on Pure and Applied Analysis, 2023, 22 (10), pp.2925-2959. (10.3934/cpaa.2023094⟩. ⟨hal-03873065⟩
Julien Barral, Stéphane Seuret. Sparse sampling and dilation operations on a Gibbs weighted tree, and multifractal formalism. 2023. (hal-04080522⟩
Olivier Lafitte, Olof Runborg. ERROR ESTIMATES FOR GAUSSIAN BEAMS AT A FOLD CAUSTIC. 2023. (hal-04055514⟩
Luis Almeida, Alexis Léculier, Nicolas Vauchelet. Analysis of the "Rolling carpet" strategy to eradicate an invasive species. SIAM Journal on Mathematical Analysis, 2023, 55 (1), pp.275-309. (10.1137/21M1427243⟩. ⟨hal-03261142⟩
Luís Almeida, Pierre-Alexandre Bliman, Nga Nguyen, Nicolas Vauchelet. Steady-state solutions for a reaction-diffusion equation with Robin boundary conditions: Application to the control of dengue vectors. 2023. (hal-03775887v2⟩
Jean-Pierre Eckmann, Farbod Hassani, Hatem Zaag. Instabilities Appearing in Effective Field theories: When and How?. Nonlinearity, 2023, 36 (9), pp.4844-4861. (10.1088/1361-6544/ace769⟩. ⟨hal-03873076⟩
Giao Ky Duong, Nejla Nouaili, Hatem Zaag. FLAT BLOW-UP SOLUTIONS FOR THE COMPLEX GINZBURG LANDAU EQUATION. 2023. (hal-04197208⟩
Serena Zanelli, Mounim a El Yacoubi, Magid Hallab, Mehdi Ammi. Type 2 diabetes detection with light CNN from single raw PPG wave. IEEE Access, 2023, 11, pp.57652-57665. (10.1109/ACCESS.2023.3274484⟩. ⟨hal-04130889⟩
Vuk Milisic, Philippe Souplet. From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay. 2023. (hal-04370455⟩
Youness El Marhraoui, Hamdi Amroun, Mehdi Ammi, Mehdi Boukallel, Sylvain Bouchigny, et al.. ANR-CPLAY : Outil de rééducation fonctionnelle du membre supérieur pour l'enfant atteint de paralysie cérébrale et troubles afférents. Colloque en TéléSANté et dispositifs biomédicaux, Université Paris 8, CNRS,, Jun 2023, Paris Saint Denis, France. (hal-04220644⟩
Marion Darbas, Juliette Leblond, Jean-Paul Marmorat, Pierre-Henri Tournier. Numerical resolution of the inverse source problem for EEG using the quasi-reversibility method. Inverse Problems, 2023, 39 (11), pp.115003. (10.1088/1361-6420/acf9c6⟩. ⟨hal-03880526v2⟩
Tan-Sy Nguyen, Marie Luong, John Chaussard, Azeddine Beghdadi, Hatem Zaag, et al.. A Quality-Oriented Database for Video Capsule Endoscopy. IEEE; IEEE, pp.1-6, 2023, (10.1109/EUVIP58404.2023.10323071⟩. ⟨hal-04307458⟩
Noriko Mizoguchi, Philippe Souplet. Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation. The Journal of Geometric Analysis, 2023, 33 (2), pp.42. (10.1007/s12220-022-01002-1⟩. ⟨hal-03884058⟩
Van Tien Nguyen, Nejla Nouaili, Hatem Zaag. CONSTRUCTION OF TYPE I-LOG BLOWUP FOR THE KELLER-SEGEL SYSTEM IN DIMENSIONS 3 AND 4. 2023. (hal-04217116⟩
François Dubois, Olivier Lafitte. Analytic solutions and numerical method for a coupled thermo-neutronic problem. 2022. (hal-03663985⟩
Najmeddine Attia, Julien Barral. Multifractal analysis and Erd\"os-R\'enyi laws of large numbers for branching random walks in $\R^d$. 2022. (hal-03885182⟩
Julien Barral, Xiong Jin. On the Action of Multiplicative Cascades on Measures. International Mathematics Research Notices, 2022, 2022 (18), pp.13857-13896. (10.1093/imrn/rnab125⟩. ⟨hal-03884893⟩
Philippe Souplet. On refined blowup estimates for the exponential reaction-diffusion equation. SN Partial Differential Equations and Applications, 2022, 3 (1), pp.16. (10.1007/s42985-022-00152-9⟩. ⟨hal-03868771⟩
Louis Dupaigne, Boyan Sirakov, Philippe Souplet. A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space. International Mathematics Research Notices, 2022, 2022 (12), pp.9024-9043. (10.1093/imrn/rnaa392⟩. ⟨hal-03868772⟩
Matthieu Clertant. Early-Phase Oncology Trials: Why So Many Designs?. Journal of Clinical Oncology, 2022, 40 (30), pp.3529-3536. (10.1200/JCO.21.02493⟩. ⟨hal-03913938⟩
Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Optimal control strategies for the sterile mosquitoes technique. Journal of Differential Equations, 2022, 311, pp.229-266. (10.1016/j.jde.2021.12.002⟩. ⟨hal-02995414v4⟩
François Dubois, Olivier Lafitte, Clair Poignard. Analytic solutions of two problems of Biology and Physics using the Jacobi elliptic functions. 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Centre de recherches Mathématiques, Jun 2022, Montréal, Canada. (hal-04004709⟩
Israël César Lerman, Henri Leredde. Seriation in Combinatorial and Statistical Data Analysis. Springer International Publishing, 2022, Advanced Information and Knowledge Processing, 978-3-030-92693-9. (10.1007/978-3-030-92694-6⟩. ⟨hal-03966634⟩
Philippe Souplet. Universal estimates and Liouville theorems for superlinear problems without scale invariance. Discrete and Continuous Dynamical Systems - Series A, 2022, (10.3934/dcds.2022099⟩. ⟨hal-03868773⟩
G.K. Duong, T.E. Ghoul, N.I. Kavallaris, Hatem Zaag. Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters. Journal of Differential Equations, 2022, 336, pp.73-125. (10.1016/j.jde.2022.07.010⟩. ⟨hal-03418327⟩
Olivier Lafitte, Tiến-Tài Nguyễn. Spectral Analysis of the Incompressible Viscous Rayleigh–Taylor System in R3. Water Waves, 2022, 4 (2), pp.259 - 305. (10.1007/s42286-022-00065-5⟩. ⟨hal-03857523⟩
Olivier Lafitte, Jean-Marc Brossier. Combinaison optimale de classifieurs binaires : solution logique sans algorithme et minimisation de risques convexifiés. GRETSI 2022 - XXVIIIème Colloque Francophone de Traitement du Signal et des Images, Sep 2022, Nancy, France. (hal-03764347⟩
Serena Zanelli, Mehdi Ammi, Magid Hallab, Mounim El Yacoubi. Diabetes detection and management through photoplethysmographic and electrocardiographic signals analysis: a Systematic Review. Sensors, 2022, 22, (10.3390/s22134890⟩. ⟨hal-03858023⟩
Asma Azaiez, Hatem Zaag. Classification of the blow-up behavior for a semilinear wave equation with nonconstant coefficients. Annales Henri Poincaré, 2022, 24 (4), pp.1417-1437. (10.1007/s00023-022-01247-0⟩. ⟨hal-02324952⟩
Luís Almeida, Jorge Estrada, Nicolas Vauchelet. The sterile insect technique used as a barrier control against reinfestation. Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler and Emmanuel Trélat. Optimization and Control for Partial Differential Equations, 29, De Gruyter, pp.91-112, 2022, Radon Series on Computational and Applied Mathematics, 9783110695984. (10.1515/9783110695984-005⟩. ⟨hal-02615391v2⟩
Gregory Lazarian, Jordan Ferreira, Ian Morilla, Emeline Saindoy, Valeria Bisio, et al.. Metabolic reprogramming of bone marrow stromal cells in chronic lymphocytic leukemia. 64th American Society of Hematology Annual Congress, Dec 2022, NEW ORLEANS, United States. (hal-03944892⟩
Noriko Mizoguchi, Philippe Souplet. Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation. Asymptotic Analysis, 2022, pp.1-63. (10.3233/ASY-221813⟩. ⟨hal-03878643⟩
Bouthaina Abdelhedi, Hatem Zaag. Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term. Journal of Mathematical Analysis and Applications, 2022, 515 (2), pp.126447. (10.1016/j.jmaa.2022.126447⟩. ⟨hal-03873100⟩
Luís Almeida, Jorge Estrada, Nicolas Vauchelet. Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations. Mathematical Modelling of Natural Phenomena, 2022, (10.1051/mmnp/2022026⟩. ⟨hal-03377080⟩
Ping Lin, Hatem Zaag. Feedback controllability for blowup points of the heat equation. Journal de Mathématiques Pures et Appliquées, 2022, 168, pp.65-107. (10.1016/j.matpur.2022.09.010⟩. ⟨hal-03873097⟩
Tan-Sy Nguyen, John Chaussard, Marie Luong, Hatem Zaag, Azeddine Beghdadi. A No-Reference Measure for Uneven Illumination Assessment on Laparoscopic Images. IEEE, pp.4103-4107, 2022, (10.1109/ICIP46576.2022.9897302⟩. ⟨hal-03902301⟩
Safaa Al-Ali, John Chaussard, Sébastien Li-Thiao-Té, Eric Ogier-Denis, Alice Percy-Du-Sert, et al.. AUTOMATIC BLEEDING AND ULCER DETECTION FROM LIMITED QUALITY ANNOTATIONS IN ULCERATIVE COLITIS. 2022 Crohn’s & Colitis Congress, Jan 2022, Virtual, United States. pp.S19-S20, (10.1093/ibd/izac015.029⟩. ⟨hal-03955674⟩
Olivier Lafitte. High frequency analysis of the Dirichlet to Neumann operator for an infinite cylinder (and an infinite elliptic cylinder) coated with dielectric material. Waves 2022, ENSTA, Jul 2022, Palaiseau, France. (hal-04004706⟩
Mohamed Ali Hamza, Hatem Zaag. The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation. Archive for Rational Mechanics and Analysis, 2022, 244 (1), pp.87-125. (10.1007/s00205-022-01760-w⟩. ⟨hal-03873110⟩
Olivier Lafitte, Omar Maj. UNIQUENESS OF THE CAUCHY DATUM FOR THE TEMPERED-IN-TIME RESPONSE AND CONDUCTIVITY OPERATOR OF A PLASMA. 2022. (hal-03897756⟩
Jean-Marc Brossier, Olivier Lafitte. Supervised learning using truth tables: convergence results and algorithms. AN22 - 2022 SIAM Annual Meeting (AN22), Jul 2022, Pittsburg, United States. (hal-04004702⟩
Philippe Souplet. Liouville-type theorems for nonlinear elliptic and parabolic problems, 17p., in:
Proceedings of the Matrix conference ``Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type'' (Creswick, Australia, 2018),
2019-20 MATRIX Annals. Edited by D. Wood, J. de Gier, C. Praeger, T. Tao. Matrix book series, 4, Springer International Publishing, 2021, MATRIX Book Series, (10.1007/978-3-030-62497-2⟩. ⟨hal-03868777⟩
Mohamed Ali Hamza, Hatem Zaag. The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions. Nonlinear Analysis: Theory, Methods and Applications, 2021, 212, pp.112445. (10.1016/j.na.2021.112445⟩. ⟨hal-03418338⟩
Bruno Stupfel, Pierre Payen, Olivier Lafitte. A well-posed and effective high-order Impedance Boundary Condition for the time-harmonic scattering problem from a multilayer coated 3-D object. Progress In Electromagnetics Research B, 2021, 94, pp.127-144. (10.2528/PIERB21072803⟩. ⟨hal-03858929⟩
Olivier Lafitte. Unstable spectrum of a Rayleigh–Bénard system with variable viscosity. Comptes Rendus. Mathématique, 2021, 359 (9), pp.1165-1178. (10.5802/crmath.232⟩. ⟨hal-03857535⟩
G. Duong, N. Kavallaris, Hatem Zaag. Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system. Mathematical Models and Methods in Applied Sciences, 2021, 31 (07), pp.1469-1503. (10.1142/S0218202521500305⟩. ⟨hal-03418340⟩
Grégoire Nadin, Eric Ogier-Denis, Ana Toledo, Hatem Zaag. A Turing mechanism in order to explain the patchy nature of Crohn’s disease. Journal of Mathematical Biology, 2021, 83 (2), pp.12. (10.1007/s00285-021-01635-w⟩. ⟨hal-03418354⟩
Tomasz Dębiec, Benoît Perthame, Markus Schmidtchen, Nicolas Vauchelet. Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension. Journal de Mathématiques Pures et Appliquées, 2021, 145, pp.204-239. (10.1016/j.matpur.2020.11.002⟩. ⟨hal-02461406⟩
Nicolas Vauchelet, Shugo Yasuda. Numerical scheme for kinetic transport equation with internal state *. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (1), pp.18-27. (hal-02861713⟩
Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model. Journal of Optimization Theory and Applications, 2021, 189 (2), pp.408--436. (10.1007/s10957-021-01830-1⟩. ⟨hal-02862922v2⟩
John Haslegrave, Laurent Tournier. Combinatorial Universality in Three-Speed Ballistic Annihilation. In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius, 77, Springer International Publishing, pp.487-517, 2021, Progress in Probability, (10.1007/978-3-030-60754-8_23⟩. ⟨hal-03764925⟩
Bouthaina Abdelhedi, Hatem Zaag. Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (8), pp.2607. (10.3934/dcdss.2021032⟩. ⟨hal-03418341⟩
Julien Barral, De-Jun Feng. Dimensions of random statistically self-affine Sierpinski sponges in $\mathbb R^k$. Journal de Mathématiques Pures et Appliquées, 2021, 149, pp.254-303. (10.1016/j.matpur.2021.02.003⟩. ⟨hal-02458498v3⟩
Frank Merle, Hatem Zaag. Behavior Rigidity Near Non-Isolated Blow-up Points for the Semilinear Heat Equation. International Mathematics Research Notices, 2021, 2022 (20), pp.16196-16260. (10.1093/imrn/rnab169⟩. ⟨hal-03418330⟩
Marion Darbas, Jérémy Heleine, Renier Mendoza, Arrianne Crystal Velasco. Sensitivity analysis of the complete electrode model for electrical impedance tomography. AIMS Mathematics, 2021, 6 (7), pp.7333-7366. (10.3934/math.2021431⟩. ⟨hal-03965768⟩
Bouthaina Abdelhedi, Hatem Zaag. Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient term. Journal of Differential Equations, 2021, 272, pp.1-45. (10.1016/j.jde.2020.09.020⟩. ⟨hal-02370323⟩
Benoît Fabrèges, Frédéric Lagoutière, Tran Tien, Nicolas Vauchelet. Relaxation limit of the aggregation equation with pointy potential. Axioms, 2021, 10 (2), (10.3390/axioms10020108⟩. ⟨hal-03235634⟩
Safaa Al-Ali, John Chaussard, Sébastien Li-Thiao-Té, Hatem Zaag. Automatic detection of bleeding and ulcers in endoscopic videos for ulcerative colitis. 2021. (hal-03418329⟩
Luís Almeida, Pierre-Alexandre Bliman, Grégoire Nadin, Benoît Perthame, Nicolas Vauchelet. Final size and convergence rate for an epidemic in heterogeneous population. Mathematical Models and Methods in Applied Sciences, 2021, 31 (05), pp.1021-1051. (hal-02981952v2⟩
Philippe Souplet. Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities. Colloquium Mathematicum, 2021, 164 (1), pp.43-52. (10.4064/cm8147-1-2020⟩. ⟨hal-03868769⟩
Gabriella Bretti, Laurent Gosse, Nicolas Vauchelet. DIFFUSIVE LIMITS OF 2D WELL-BALANCED SCHEMES FOR KINETIC MODELS OF NEUTRON TRANSPORT. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (6), pp.2949-2980. (10.1051/m2an/2021077⟩. ⟨hal-03841190⟩
Stéphanie Chaillat, Marion Darbas, Frédérique Le Louër. Analytical preconditioners for Neumann elastodynamic Boundary Element Methods. SN Partial Differential Equations and Applications, 2021, 2 (22), (10.1007/s42985-021-00075-x⟩. ⟨hal-02512652v2⟩
Abdelqoddous Moussa, Olivier Lafitte. Uncertainty treatment of a coupled model of thermohydraulics and neutronics using special functions solutions. IEEE, pp.40-44, 2021, (10.1109/synasc54541.2021.00019⟩. ⟨hal-03858925⟩
John Haslegrave, Vladas Sidoravicius, Laurent Tournier. Three-speed ballistic annihilation: phase transition and universality. Selecta Mathematica, 2021, 27 (5), pp.84. (10.1007/s00029-021-00701-x⟩. ⟨hal-03764920⟩
Boyan Sirakov, Philippe Souplet. The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients. Advances in Mathematics, 2021, 387, pp.107838. (10.1016/j.aim.2021.107838⟩. ⟨hal-03868770⟩
Julien Barral, De-Jun Feng. On multifractal formalism for self-similar measures with overlaps. Mathematische Zeitschrift, 2021, 298 (1-2), pp.359-383. (10.1007/s00209-020-02622-5⟩. ⟨hal-03884885⟩
Michel Duprez, Romane Hélie, Yannick Privat, Nicolas Vauchelet. Optimization of spatial control strategies for population replacement, application to Wolbachia. ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.30. (10.1051/cocv/2021070⟩. ⟨hal-03044740v2⟩
Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Refined asymptotic for the blow-up solution of the Complex Ginzburg-Landau equation in the subcritical case. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press, 39 (1), pp.41-85. (10.4171/AIHPC/2⟩. ⟨hal-03090581⟩
Jean-Marc Brossier, Olivier Lafitte. Combining weak classifiers: a logical analysis. SYNASC 2021 - 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Dec 2021, Timisoara, Romania. pp.178-181, (10.1109/SYNASC54541.2021.00038⟩. ⟨hal-03858923⟩
Gabriella Bretti, Laurent Gosse, Nicolas Vauchelet. L -splines as diffusive limits of dissipative kinetic models. Vietnam Journal of Mathematics, In press. (hal-02440798⟩
Mohamed Jleli, Bessem Samet, Philippe Souplet. Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities. Proceedings of the American Mathematical Society, 2020, 148 (6), pp.2579-2593. (10.1090/proc/14953⟩. ⟨hal-03868764⟩
Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for the Complex Ginzburg-Landau equation with critical parameters. Memoirs of the American Mathematical Society, In press. (hal-02447669⟩
Pierre Degond, Sophie Hecht, Nicolas Vauchelet. Incompressible limit of a continuum model of tissue growth for two cell populations. Networks and Heterogeneous Media, 2020, 15, pp.57-85. (hal-02499494⟩
Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Construction of type I blowup solutions for a higher order semilinear parabolic equation. Advances in Nonlinear Analysis, 2020, 9 (1), pp.388-412. (10.1515/anona-2020-0006⟩. ⟨hal-02324972⟩
Roberta Filippucci, Patrizia Pucci, Philippe Souplet. A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations. Communications in Partial Differential Equations, 2020, 45 (4), pp.321-349. (10.1080/03605302.2019.1684941⟩. ⟨hal-03868766⟩
Mohamed Ali Hamza, Hatem Zaag. The blow-up rate for a non-scaling invariant semilinear wave equations. Journal of Mathematical Analysis and Applications, 2020, 483 (2), pp.123652. (10.1016/j.jmaa.2019.123652⟩. ⟨hal-02356801⟩
Adel Blouza, Linda El Alaoui. A posteriori analysis of a Richards problem with a free boundary. 2020. (hal-02444391⟩
Hakim Boumaza, Olivier Lafitte. Integrated density of states: from the finite range to the periodic Airy-Schroedinger operator. 2020. (hal-02964056⟩
Amal Attouchi, Philippe Souplet. Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton–Jacobi equations. Calculus of Variations and Partial Differential Equations, 2020, 59 (5), pp.153. (10.1007/s00526-020-01810-9⟩. ⟨hal-03868768⟩
Alessio Porretta, Philippe Souplet. Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation. Journal de Mathématiques Pures et Appliquées, 2020, 133, pp.66-117. (10.1016/j.matpur.2019.02.014⟩. ⟨hal-03868757⟩
Laurent Gosse, Nicolas Vauchelet. A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer. SIAM Journal on Numerical Analysis, 2020, 58 (2), pp.1092-1116. (10.1137/19M1239829⟩. ⟨hal-03841186⟩
Olivier Lafitte. Fourier series analysis of the (pseudodifferential) Dirichlet to Neumann operator for a layer of dielectric material. 2020. (hal-02969222v2⟩
Marta Marulli, Vuk Milisic, Nicolas Vauchelet. Reduction of a model for sodium exchanges in kidney nephron. Networks and Heterogeneous Media, 2020, (10.3934/nhm.2021020⟩. ⟨hal-02578120⟩
Roberta Filippucci, Patrizia Pucci, Philippe Souplet. A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient. Advanced Nonlinear Studies, 2020, 20 (2), pp.245-251. (10.1515/ans-2019-2070⟩. ⟨hal-03868763⟩
Olivier Lafitte. Hybrid Singularity for the Oblique Incidence Response of a Cold Plasma. Indiana University Mathematics Journal, 2020, 48 (3), pp.937-992. (10.1512/iumj.1999.48.1765⟩. ⟨hal-03857545⟩
Ian Morilla, Thibaut Léger, Assiya Marah, Isabelle Pic, Hatem Zaag, et al.. Singular manifolds of proteomic drivers to model the evolution of inflammatory bowel disease status. Scientific Reports, 2020, 10 (1), pp.19066. (10.1038/s41598-020-76011-7⟩. ⟨hal-03003635⟩
Marta Marulli, Aurélie Edwards, Vuk Milišić, Nicolas Vauchelet. On the role of the epithelium in a model of sodium exchange in renal tubules. Mathematical Biosciences, 2020, 321, pp.108308. (hal-02439519⟩
Pavol Quittner, Philippe Souplet. Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States. Springer International Publishing, 2019, Birkhäuser Advanced Texts Basler Lehrbücher, (10.1007/978-3-030-18222-9⟩. ⟨hal-03868783⟩
Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems. Advances in Pure and Applied Mathematics, 2019, 10 (4), pp.299-312. (10.1515/apam-2018-0168⟩. ⟨hal-02324968⟩
Giao Ky Duong, van Tien Nguyen, Hatem Zaag. Construction of a stable blowup solution with a prescribed behavior for a non-scaling-invariant semilinear heat equation. Tunisian Journal of Mathematics, 2019, 1 (1), pp.13-45. (10.2140/tunis.2019.1.13⟩. ⟨hal-02325012⟩
Olivier Lafitte, Olof Runborg. Error estimates for Gaussian beams at a fold caustic. Waves 2019, TU Wien, Aug 2019, Wien, Austria. (hal-04004714⟩
Benoît Perthame, Nicolas Vauchelet, Zhian Wang. The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations. Revista Matemática Iberoamericana, In press, 36 (2), (10.4171/rmi/1132⟩. ⟨hal-01689571⟩
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luís Almeida, Benoît Perthame, et al.. Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Journal of Biological Dynamics, 2019, 13 (1), pp.269-300. (10.1080/17513758.2019.1593524⟩. ⟨hal-01674280⟩
Philippe Souplet, Michael Winkler. Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3. Communications in Mathematical Physics, 2019, 367 (2), pp.665-681. (10.1007/s00220-018-3238-1⟩. ⟨hal-03868753⟩
Nicolas Curien, Gady Kozma, Vladas Sidoravicius, Laurent Tournier. Uniqueness of the infinite noodle. Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2019, 6 (2), pp.221-238. (10.4171/AIHPD/70⟩. ⟨hal-03764931⟩
Andrea Collevecchio, Kais Hamza, Laurent Tournier. A deterministic walk on the randomly oriented Manhattan lattice. Electronic Journal of Probability, 2019, 24 (none), (10.1214/19-EJP385⟩. ⟨hal-03764936⟩
Luís Almeida, Yannick Privat, Martin Strugarek, Nicolas Vauchelet. Optimal releases for population replacement strategies, application to Wolbachia. SIAM Journal on Mathematical Analysis, 2019, 51 (4), pp.3170--3194. (10.1137/18M1189841⟩. ⟨hal-01807624v2⟩
Mohamed Ali Hamza, Hatem Zaag. Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation. Journal of Differential Equations, 2019, 267 (6), pp.3524-3560. (10.1016/j.jde.2019.04.018⟩. ⟨hal-02324960⟩
Carlos Esteve, Philippe Souplet. No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Adv.Diff.Equations, 2019, 24 (7/8), (10.57262/ade/1556762456⟩. ⟨hal-03868751⟩
Pierre Payen, Olivier Lafitte, Bruno Stupfel. A high order impedance boundary condition with unique solution for the time harmonic Maxwell’s equations. Waves 2019, TU Wien, Aug 2019, Wien, Austria. (hal-04004712⟩
Mohamed Khaladi, Nisrine Outada, Nicolas Vauchelet. On the Hilbert Method in the Kinetic Theory of Multicellular Systems: Hyperbolic Limits and Convergence Proof. 2019. (hal-02195572⟩
Giao Ky Duong, Hatem Zaag. Profile of a touch-down solution to a nonlocal MEMS model. Mathematical Models and Methods in Applied Sciences, 2019, 29 (07), pp.1279-1348. (10.1142/S0218202519500222⟩. ⟨hal-02324964⟩
Ian Morilla, Mathieu Uzzan, David Laharie, Dominique Cazals-Hatem, Quentin Denost, et al.. Colonic MicroRNA Profiles, Identified by a Deep Learning Algorithm, That Predict Responses to Therapy of Patients With Acute Severe Ulcerative Colitis. Clinical Gastroenterology and Hepatology, 2019, 17, pp.905 - 913. (10.1016/j.cgh.2018.08.068⟩. ⟨hal-03486418⟩
Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Mosquito population control strategies for fighting against arboviruses. Mathematical Biosciences and Engineering, 2019, 16 (6), pp.6274-6297. (10.3934/mbe.2019313⟩. ⟨hal-01984426v2⟩
Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rébaï, Hasna Riahi, Hatem Zaag. Partial Differential Equations Arising from Physics and Geometry. Cambridge University Press, 1, 2019, (10.1017/9781108367639⟩. ⟨hal-02324982⟩
Slim Tayachi, Hatem Zaag. Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Transactions of the American Mathematical Society, 2019, 371 (8), pp.5899-5972. (10.1090/tran/7631⟩. ⟨hal-02325185⟩
François Delarue, Frédéric Lagoutìère, Nicolas Vauchelet. Convergence analysis of upwind type schemes for the aggregation equation with pointy potential. Annales Henri Lebesgue, In press, (10.5802/ahl.30⟩. ⟨hal-01591602v2⟩
Philippe Souplet. A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation. SIAM Journal on Mathematical Analysis, 2019, 51 (2), pp.991-1013. (10.1137/18M1175926⟩. ⟨hal-03868754⟩
Asma Azaiez, Nader Masmoudi, Hatem Zaag. Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension. Mohamed Ben Ayed. Partial Differential Equations arising from Physics and Geometry, Cambridge University Press, 2019. (hal-02325078⟩
Noriko Mizoguchi, Philippe Souplet. Optimal condition for blow-up of the critical L norm for the semilinear heat equation. Advances in Mathematics, 2019, 355, pp.106763. (10.1016/j.aim.2019.106763⟩. ⟨hal-03868755⟩
Laurent Gosse, Nicolas Vauchelet. Some examples of kinetic scheme whose diffusion limit is Il'in's exponential-fitting. Numerische Mathematik, 2019, 141 (3), pp.627-680. (hal-01590822v2⟩
Philippe Souplet. Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth. Journal of Evolution Equations, 2018, 18 (4), pp.1713-1720. (10.1007/s00028-018-0458-y⟩. ⟨hal-03868748⟩
Carlos Esteve, Philippe Souplet. Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity. Nonlinearity, 2018, 31 (11), pp.4883-4934. (10.1088/1361-6544/aad526⟩. ⟨hal-03868746⟩
Jong-Shenq Guo, Philippe Souplet. Excluding blowup at zero points of the potential by means of Liouville-type theorems. Journal of Differential Equations, 2018, 265 (10), pp.4942-4964. (10.1016/j.jde.2018.06.025⟩. ⟨hal-03868744⟩
Julien Barral, Yueyun Hu, Thomas Madaule. The minimum of a branching random walk outside the boundary case. Bernoulli, 2018, 24 (2), (10.3150/15-BEJ784⟩. ⟨hal-03884868⟩
Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case. Archive for Rational Mechanics and Analysis, 2018, Arch. Ration. Mech. Anal., 228 (3), pp.995-1058. (hal-01490862⟩
Dai-Viet Tran, Sébastien Li-Thiao-Té, Thuong Le-Tien, Marie Luong, Françoise Dibos. Number of Useful Components in Gaussian Mixture Models for Patch-Based Image Denoising. International Conference on Image and Signal Processing, Jul 2018, Cherbourg, France. pp.108-116, (10.1007/978-3-319-94211-7_13⟩. ⟨hal-03944515⟩
Vladas Sidoravicius, Laurent Tournier. The ballistic annihilation threshold is 1/4. 2018. (hal-01875126⟩
Frank Merle, Hatem Zaag. Blowup Solutions to the Semilinear Wave Equation with a Stylized Pyramid as a Blowup Surface. Communications on Pure and Applied Mathematics, 2018, 71 (9), pp.1850-1937. (10.1002/cpa.21756⟩. ⟨hal-02325056⟩
Jean-Claude Martin, Céline Clavel, Matthieu Courgeon, Mehdi Ammi, Michel-Ange Amorim, et al.. How do users perceive multimodal expressions of affects?. The Handbook of Multimodal-Multisensor Interfaces: Foundations, User Modeling, and Common Modality Combinations - Volume 2, Association for Computing Machinery, pp.263-285, 2018, (10.1145/3107990.3108001⟩. ⟨hal-04458860⟩
Mohamed Yassine Tsalamlal, Michel-Ange Amorim, Jean-Claude Martin, Mehdi Ammi. Combining Facial Expression and Touch for Perceiving Emotional Valence. IEEE Transactions on Affective Computing, 2018, 9 (4), pp.437-449. (10.1109/TAFFC.2016.2631469⟩. ⟨hal-04518968⟩
Hakim Boumaza, Olivier Lafitte. The band spectrum of the periodic Airy–Schrödinger operator on the real line. Journal of Differential Equations, 2018, 264 (1), pp.455-505. (10.1016/j.jde.2017.09.013⟩. ⟨hal-03916543⟩
Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Blowup solutions for a reaction–diffusion system with exponential nonlinearities. Journal of Differential Equations, 2018, 264 (12), pp.7523-7579. (10.1016/j.jde.2018.02.022⟩. ⟨hal-02324998⟩
Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Construction and stability of blowup solutions for a non-variational semilinear parabolic system. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018, 35 (6), pp.1577-1630. (10.1016/j.anihpc.2018.01.003⟩. ⟨hal-02325046⟩
A. Blouza, Linda El Alaoui. Numerical Modeling of The Quorum Sensing In a Bacterial Biofilm. ESAIM: Proceedings and Surveys, 2018, 62, pp.17-29. (10.1051/proc/201862017⟩. ⟨hal-02435979⟩
Julien Barral, Jacques Peyrière. Mandelbrot cascades on random weighted trees and nonlinear smoothing transforms. Asian Journal of Mathematics, 2018, 22 (5), pp.883-918. (10.4310/AJM.2018.v22.n5.a5⟩. ⟨hal-03884845⟩
Alessio Porretta, Philippe Souplet. Analysis of the loss of boundary conditions for the diffusive Hamilton–Jacobi equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017, 34 (7), pp.1913-1923. (10.1016/j.anihpc.2017.02.001⟩. ⟨hal-03868743⟩
Pierre-Alexandre Bliman, Nicolas Vauchelet. Establishing Traveling Wave in Bistable Reaction-Diffusion System by Feedback. IEEE Control Systems Letters, 2017, 1 (1), pp.62-67. (10.1109/LCSYS.2017.2703303⟩. ⟨hal-01480833v3⟩
Philippe Souplet. Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in R n. Journal of Functional Analysis, 2017, 272 (5), pp.2005-2037. (10.1016/j.jfa.2016.09.002⟩. ⟨hal-03868739⟩
Grégoire Nadin, Martin Strugarek, Nicolas Vauchelet. Hindrances to bistable front propagation: application to Wolbachia invasion. 2017. (hal-01442291⟩
Bruno Després, Lise-Marie Imbert-Gérard, Olivier Lafitte. Singular solutions for the plasma at the resonance. Journal de l'École polytechnique — Mathématiques, 2017. (hal-01097364⟩
Julien Barral, Stephane Seuret. RANDOM SPARSE SAMPLING IN A GIBBS WEIGHTED TREE. Journal of the Institute of Mathematics of Jussieu, In press. (hal-01612286⟩
Ian Morilla, Mathieu Uzzan, Dominique Cazals-Hatem, Hatem Zaag, Eric Ogier-Denis, et al.. Topological Modelling of Deep Ulcerations in Patients with Ulcerative Colitis. Journal of Applied Mathematics and Physics, 2017, 05 (11), pp.2244-2261. (10.4236/jamp.2017.511183⟩. ⟨hal-02324993⟩
Emmanuel Audusse, Olivier Lafitte, Agnes Leroy, Benjamin Melinand, Chi-Tuan Pham, et al.. Parametric Study of the Accuracy of an Approximate Solution for the Mild-Slope Equation. IEEE, pp.79-85, 2017, (10.1109/SYNASC.2017.00024⟩. ⟨hal-03862855⟩
Dai-Viet Tran, Sébastien Li-Thiao-Té, Marie Luong, Thuong Le-Tien, Francoise Dibos. Patch-based Image Denoising: Probability Distribution Estimation vs. Sparsity Prior. 25th European Signal Processing Conference (EUSIPCO 2017), Aug 2017, Kos, Greece. pp.1490-1494, (10.23919/EUSIPCO.2017.8081457⟩. ⟨hal-03949203⟩
Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation. Advanced Nonlinear Studies, 2017, 17 (1), (10.1515/ans-2016-6005⟩. ⟨hal-02325052⟩
Jorgelindo da Veiga, Olivier Lafitte, Laurent Schwartz. A simple mathematical model for the growth and division of cells. MathematicS In Action, 2017, 8 (1), pp.1-8. (10.5802/msia.10⟩. ⟨hal-03857551⟩
Nicolas Vauchelet, Ewelina Zatorska. Incompressible limit of the Navier-Stokes model with a growth term. Nonlinear Analysis: Theory, Methods and Applications, 2017, 163, pp.34. (hal-01525856⟩
van Tien Nguyen, Hatem Zaag. Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation. Annales Scientifiques de l'École Normale Supérieure, 2017, 50 (5), pp.1241-1282. (10.24033/asens.2644⟩. ⟨hal-02325168⟩
Sophie Hecht, Nicolas Vauchelet. Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint.. Communications in Mathematical Sciences, 2017, 15 (7), pp.1913. (hal-01477856⟩
Asma Azaiez, Hatem Zaag. A modulation technique for the blow-up profile of the vector-valued semilinear wave equation. Bulletin des Sciences Mathématiques, 2017, 141 (4), pp.312-352. (10.1016/j.bulsci.2017.04.001⟩. ⟨hal-02325035⟩
Vladas Sidoravicius, Laurent Tournier. Note on a one-dimensional system of annihilating particles. Electronic Communications in Probability, 2017, 22 (none), (10.1214/17-ECP83⟩. ⟨hal-03764919⟩
Amal Attouchi, Philippe Souplet. Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion. Transactions of the American Mathematical Society, 2017, 369 (2), pp.935-974. (10.1090/tran/6684⟩. ⟨hal-03868738⟩
Christophe Sabot, Laurent Tournier. Random walks in Dirichlet environment: an overview. Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2017, 26 (2), pp.463-509. (10.5802/afst.1542⟩. ⟨hal-02081646⟩
Tej-Eddine Ghoul, van Tien Nguyen, Hatem Zaag. Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term. Journal of Differential Equations, 2017, 263 (8), pp.4517-4564. (10.1016/j.jde.2017.05.023⟩. ⟨hal-02325040⟩
Hakim Boumaza, Olivier Lafitte. The band spectrum of the periodic airy-schrodinger operator on the real line. 2017. (hal-01343538v2⟩
Stéphane Dellacherie, Olivier Lafitte. Une solution explicite monodimensionnelle d’un modèle simplifié de couplage stationnaire thermohydraulique–neutronique. Annales mathématiques du Québec, 2017, 41 (2), pp.221-264. (10.1007/s40316-016-0073-7⟩. ⟨hal-03857559⟩
Adel Blouza, Linda El Alaoui, Saloua Mani-Aouadi. A posteriori analysis of penalized and mixed formulations of Koiter’s shell model. Journal of Computational and Applied Mathematics, 2016, 296, pp.138-155. (10.1016/j.cam.2015.07.007⟩. ⟨hal-02435976⟩
Dai-Viet Tran, Sébastien Li-Thiao-Té, Marie Luong, Thuong Le-Tien, Francoise Dibos, et al.. Example-based super-resolution for enhancing spatial resolution of medical images. 2016 38th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), Aug 2016, Orlando, France. pp.457-460, (10.1109/EMBC.2016.7590738⟩. ⟨hal-03959477⟩
Frank Merle, Hatem Zaag. Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions. Transactions of the American Mathematical Society, 2016, 368 (1), pp.27-87. (10.1090/tran/6450⟩. ⟨hal-02325237⟩
van Tien Nguyen, Hatem Zaag. Blow-up results for a strongly perturbed semilinear heat equation: theoretical analysis and numerical method. Analysis & PDE, 2016, 9 (1), pp.229-257. (10.2140/apde.2016.9.229⟩. ⟨hal-02325199⟩
Stéphane Dellacherie, Erell Jamelot, Olivier Lafitte. A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation. 2016. (hal-01322933⟩
Hatem Zaag, van Tien Nguyen. Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2016, (10.2422/2036-2145.201412_001⟩. ⟨hal-02325227⟩
Frank Merle, Hatem Zaag. Solution to the semilinear wave equation with a pyramid-shaped blow-up surface. Séminaire Laurent Schwartz - EDP et applications, 2016, pp.1-13. (10.5802/slsedp.104⟩. ⟨hal-02325005⟩
Stéphane Dellacherie, Olivier Lafitte. Une solution explicite monodimensionnelle d'un modèle simplifié de couplage stationnaire thermohydraulique-neutronique. 2016. (hal-01263642v2⟩
Yong-Ping Ding, Yannick Ladeiro, Ian Morilla, Yoram Bouhnik, Assiya Marah, et al.. Integrative Network-based Analysis of Colonic Detoxification Gene Expression in Ulcerative Colitis According to Smoking Status. Journal of Crohn's and Colitis, 2016, pp.jjw179. (10.1093/ecco-jcc/jjw179⟩. ⟨hal-02325288⟩
Martin Strugarek, Nicolas Vauchelet, Jorge Zubelli. Quantifying the Survival Uncertainty of Wolbachia-infected Mosquitoes in a Spatial Model *. 2016. (hal-01355118v2⟩
Alessio Porretta, Philippe Souplet. The Profile of Boundary Gradient Blowup for the Diffusive Hamilton–Jacobi Equation. International Mathematics Research Notices, 2016, pp.rnw154. (10.1093/imrn/rnw154⟩. ⟨hal-03868742⟩
Dai-Viet Tran, Marie Luong, Sébastien Li-Thao-Té, Jean-Marie Rocchisani, Françoise Dibos, et al.. Super-resolution for medical images corrupted by heavy noise. SPIE Medical Imaging, Feb 2015, Orlando, France. pp.94130E, (10.1117/12.2082314⟩. ⟨hal-03959465⟩
Frank Merle, Hatem Zaag. On the Stability of the Notion of Non-Characteristic Point and Blow-Up Profile for Semilinear Wave Equations. Communications in Mathematical Physics, 2015, 333 (3), pp.1529-1562. (10.1007/s00220-014-2132-8⟩. ⟨hal-02325234⟩
Slim Tayachi, Hatem Zaag. Existence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term. Actes du Colloque EDP Normandie, 2015. (hal-02325133⟩
Nejla Nouaili, Hatem Zaag. Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation. Communications in Partial Differential Equations, 2015, 40 (7), pp.1197-1217. (10.1080/03605302.2015.1018997⟩. ⟨hal-02325308⟩
Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for a complex nonlinear heat equation.. Communications in Partial Differential Equations, 2015, 40 (7), pp. 1197-1217. (hal-01252918⟩
Leonardo Rolla, Vladas Sidoravicius, Laurent Tournier. Greedy clearing of persistent Poissonian dust. Stochastic Processes and their Applications, 2014, 124 (10), pp.3496-3506. (10.1016/j.spa.2014.04.005⟩. ⟨hal-03764917⟩
Alexandre Montaru, Boyan Sirakov, Philippe Souplet. Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems. Archive for Rational Mechanics and Analysis, 2014, 213, pp.129 - 169. (10.1007/s00205-013-0719-4⟩. ⟨hal-00944637v2⟩
Amal Attouchi, Philippe Souplet. Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion. 2014. (hal-00981167⟩
M.A. Hamza, Hatem Zaag. Blow-up behavior for the Klein–Gordon and other perturbed semilinear wave equations. Bulletin des Sciences Mathématiques, 2013, 137 (8), pp.1087-1109. (10.1016/j.bulsci.2013.05.004⟩. ⟨hal-02325318⟩
Mohamed-Ali Hamza, Hatem Zaag. Blow-up results for semilinear wave equations in the superconformal case. Discrete and Continuous Dynamical Systems - Series B, 2013, 18 (9), pp.2315-2329. (10.3934/dcdsb.2013.18.2315⟩. ⟨hal-02325315⟩
Nathanaël Enriquez, Christophe Sabot, Laurent Tournier, Olivier Zindy. Quenched limits for the fluctuations of transient random walks in random environment on Z. The Annals of Applied Probability, 2013, 23 (3), pp.1148-1187. (10.1214/12-AAP867⟩. ⟨hal-00543882v3⟩
Julien Barral, Xiong Jin, Rémi Rhodes, Vincent Vargas. Gaussian multiplicative chaos and KPZ duality. Communications in Mathematical Physics, 2013, 323 (2), pp.451-485. (hal-00673629v4⟩
Youness Noumir, François Dubois, Olivier Lafitte. Numerical Eulerian method for linearized gas dynamics in the high frequency regime. Numerische Mathematik, 2013, 127 (4), pp.641-683. (10.1007/s00211-013-0598-5⟩. ⟨hal-03177490⟩
Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for a complex nonlinear heat equation.. 2013. (hal-00835338⟩
Raphaël Côte, Hatem Zaag. Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension. Communications on Pure and Applied Mathematics, 2013, 66 (10), pp.1541-1581. (10.1002/cpa.21452⟩. ⟨hal-00638545⟩
Yohan Penel, Stéphane Dellacherie, Olivier Lafitte. Theoretical Study of an Abstract Bubble Vibration Model. Zeitschrift für Analysis und ihre Anwendungen, 2013, 32 (1), pp.19-36. (10.4171/ZAA/1472⟩. ⟨hal-00655568⟩
Mohamed Ali Hamza, Hatem Zaag. Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations in the critical case. Journal of Hyperbolic Differential Equations, 2012, 09 (02), pp.195-221. (10.1142/S0219891612500063⟩. ⟨hal-03418394⟩
Laurent Tournier. Asymptotic direction of random walks in Dirichlet environment. 2012. (hal-00701968v2⟩
Mohamed-Ali Hamza, Hatem Zaag. A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations. Nonlinearity, 2012, 25 (9), pp.2759-2773. (10.1088/0951-7715/25/9/2759⟩. ⟨hal-03418396⟩
Frank Merle, Hatem Zaag. Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension. American Journal of Mathematics, 2012, 134 (3), pp.581-648. (10.1353/ajm.2012.0021⟩. ⟨hal-03418395⟩
Linda El Alaoui, Jean-Pierre Françoise, M. Landau. Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting. Acta Biotheoretica, 2012, 60 (1-2), pp.131 - 137. (hal-01407204⟩
Christine Bernardi, Adel Blouza, Linda El Alaoui. The rain on underground porous media Part I. Analysis of a Richards model. 2012. (hal-00685974⟩
Laurent Noël, John Chaussard, Venceslas Biri. Coarse Irradiance Estimation using Curvilinear Skeleton. SIGGRAPH 2012, Jul 2012, United States. ACM SIGGRAPH 2012 Posters (101), pp.101:1--101:1, 2012. (hal-00796552⟩
Julien Barral, Rémi Rhodes, Vincent Vargas. Limiting laws of supercritical branching random walks. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012. (hal-00682212v2⟩
Manuel Bernard, Stéphane Dellacherie, Gloria Faccanoni, Bérénice Grec, Olivier Lafitte, et al.. Study of a low Mach nuclear core model for single-phase flows. ESAIM: Proceedings, 2012, 38, pp.118-134. (10.1051/proc/201238007⟩. ⟨hal-00662978⟩
Frank Merle, Hatem Zaag. Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation. Duke Mathematical Journal, 2012, 161 (15), pp.2837-2908. (10.1215/00127094-1902040⟩. ⟨hal-02325353⟩
Frank Merle, Hatem Zaag. Blow-up behavior outside the origin for a semilinear wave equation in the radial case. Bulletin des Sciences Mathématiques, 2011, 135 (4), pp.353-373. (10.1016/j.bulsci.2011.03.001⟩. ⟨hal-00570157⟩
Saima Khenissy, Yomna Rébaï, Hatem Zaag. Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28 (1), pp.1-26. (10.1016/j.anihpc.2010.09.006⟩. ⟨hal-00570173⟩
M. Ebde, Hatem Zaag. Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2011, 55 (1), pp.5-21. (10.1007/BF03322590⟩. ⟨hal-03418373⟩
Youness Noumir, François Dubois, Olivier Lafitte. Numerical Eulerian method for linearized gas dynamics in the high frequency regime. 2011. (hal-00713031⟩
S. Khenissy, Y. Rébaï, Hatem Zaag. Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28 (1), pp.1-26. (10.1016/j.anihpc.2010.09.006⟩. ⟨hal-03418377⟩
Linda El Alaoui, Alexandre Ern, Martin Vohralík. Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems. Computer Methods in Applied Mechanics and Engineering, 2011, 200 (37-40), pp.2782-2795. (10.1016/j.cma.2010.03.024⟩. ⟨hal-00410471⟩
Julien Barral, Patrick Loiseau. Large deviations for the local fluctuations of random walks. Stochastic Processes and their Applications, 2011, 121 (10), pp.2272-2302. (10.1016/j.spa.2011.06.004⟩. ⟨hal-00844817⟩
Frank Merle, Hatem Zaag. Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension.. Séminaire Équations aux dérivées partielles (Polytechnique), 2010, France. Exp. No. 11, 10 p. (hal-00570162⟩
Julien Barral, Xiong Jin. Multifractal Analysis of Complex Random Cascades. Communications in Mathematical Physics, 2010, 297 (1), pp.129-168. (10.1007/s00220-010-1030-y⟩. ⟨hal-00790872⟩
Julien Barral, Xiong Jin, Benoît B. Mandelbrot. Convergence of complex multiplicative cascades. The Annals of Applied Probability, 2010, 20 (4), pp.1219-1252. (10.1214/09-AAP665⟩. ⟨hal-00790894⟩
Stephane Seuret, Julien Barral (Dir.). Recent developments in Fractals and related Fields. Birkhauser, pp.419, 2010, 978-0-8176-4887-9. (hal-00796031⟩
Julien Barral, Xiong Jin, Benoît Mandelbrot. Uniform convergence for complex [0, 1]-martingales. The Annals of Applied Probability, 2010, 20 (4), pp.1205-1218. (10.1214/09-AAP664⟩. ⟨hal-00793058⟩
Mohammed Abderrahman Ebde, Hatem Zaag. Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. 2010. (hal-00570159⟩
Nejla Nouaili, Hatem Zaag. A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up. Transactions of the American Mathematical Society, 2010, 362 (7), pp.3391-3434. (hal-00531306⟩
Frank Merle, Hatem Zaag. On characteristic points at blow-up for a semilinear wave equation in one space dimension. Singularities in Nonlinear Problems 2009, Nov 2009, Kyoto, Japan. (hal-00570164⟩
Georges Koepfler, Françoise Dibos, Sylvain Pelletier. Adapted Windows Detection of Moving Objects in Video Scenes. SIAM Journal on Imaging Sciences, 2009, 2 (1), pp. 1-19. (hal-00325426⟩
Françoise Dibos, Claire Jonchery, Georges Koepfler. Iterative Camera Motion and Depth Estimation in a Video Sequence. 13th International Conference on Computer Analysis of Images and Patterns, Sep 2009, Münster, Germany. pp.1028-1035. (hal-00404050⟩
Nader Masmoudi, Hatem Zaag. Blow-up profile for the complex Ginzburg–Landau equation. Journal of Functional Analysis, 2008, 255 (7), pp.1613-1666. (10.1016/j.jfa.2008.03.008⟩. ⟨hal-02325768⟩
Claire Jonchery, Françoise Dibos, Georges Koepfler. Camera motion estimation through planar deformation determination.. Journal of Mathematical Imaging and Vision, 2008, 32 (1), pp.73-87. (10.1007/s10851-008-0086-1⟩. ⟨hal-00104903v3⟩
Frank Merle, Hatem Zaag. Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation. Communications in Mathematical Physics, 2008, 282 (1), pp.55-86. (10.1007/s00220-008-0532-3⟩. ⟨hal-02325777⟩
Georges Koepfler, Sylvain Pelletier, Françoise Dibos. Video layer extraction and reconstruction. Visualization, Imaging, and Image Processing, Sep 2008, Palma, Spain. http://www.actapress.com/Abstract.aspx?paperId=33933. (hal-00325422⟩
Françoise Dibos, Claire Jonchery, Georges Koepfler. Context Definition for Estimating Camera Motion through Planar Deformation. IASTED Conference on Computer Graphics and Imaging, Feb 2007, Innsbruck, Austria. pp.track 553-032. (hal-00180578⟩
Olivier Lafitte. Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity. Indiana University Mathematics Journal, 2007, in press. (hal-00158866⟩
Frank Merle, Hatem Zaag. Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension. Journal of Functional Analysis, 2007, 253 (1), pp.43-121. (10.1016/j.jfa.2007.03.007⟩. ⟨hal-03418430⟩
Olivier Lafitte. The linear and non linear Rayleigh-Taylor instability for the quasi isobaric profile. 2007. (hal-00158835⟩
Hatem Zaag. Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation. Duke Mathematical Journal, 2006, 133 (3), pp.499-525. (10.1215/S0012-7094-06-13333-1⟩. ⟨hal-02325784⟩
Françoise Dibos, Georges Koepfler, Sylvain Pelletier. Fast detecting and tracking of moving objects in video scenes. 2006. (hal-00119596⟩
Florent Ranchin, Antonin Chambolle, Françoise Dibos. Total Variation Minimization and Graph Cuts for Moving Objects Segmentation. 2006. (hal-00092007⟩
Françoise Dibos, Georges Koepfler, Sylvain Pelletier. Real-time segmentation of moving objects in a video sequence by a contrario detection. IEEE International Conference on Image Processing, Sep 2005, Genova, Italy. pp. 1065--1068. (hal-00177774⟩
Frank Merle, Hatem Zaag. On growth rate near the blowup surface for semilinear wave equations. International Mathematics Research Notices, 2005, 2005 (19), pp.1127. (10.1155/IMRN.2005.1127⟩. ⟨hal-02325857⟩
Françoise Dibos, Georges Koepfler, Sylvain Pelletier. Real-Time Video Segmentation. IEEE Intl. Conf. on Advanced Video and Signal based Surveillance, Sep 2005, Come, Italy. pp. 382--387. (hal-00177767⟩
Françoise Dibos, Claire Jonchery, Georges Koepfler. Décomposition de déformation pour l'estimation d'un mouvement de caméra. 20ième Colloque GRETSI, Sep 2005, Louvain-la-Neuve, Belgique. pp. 1157--1160. (hal-00177787⟩
Frank Merle, Hatem Zaag. Determination of the blow-up rate for a critical semilinear wave equation. Mathematische Annalen, 2005, 331 (2), pp.395-416. (10.1007/s00208-004-0587-1⟩. ⟨hal-02326097⟩
L. Corrias, Benoît Perthame, Hatem Zaag. Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions. Milan Journal of Mathematics, 2004, 72 (1), pp.1-28. (10.1007/s00032-003-0026-x⟩. ⟨hal-02326115⟩
L Corrias, Benoît Perthame, Hatem Zaag. L p and L ∞ a priori estimates for some chemotaxis models and applications to the Cauchy problem. The mechanism of the spatio-temporal pattern arising in reaction diffusion system, Oct 2004, Kyoto, Japan. (hal-02325804⟩
Pablo Groisman, Julio D. Rossi, Hatem Zaag. On the Dependence of the Blow-Up Time with Respect to the Initial Data in a Semilinear Parabolic Problem. Communications in Partial Differential Equations, 2003, 28 (3-4), pp.737-744. (10.1081/PDE-120020494⟩. ⟨hal-02326150⟩
L Corrias, Benoît Perthame, Hatem Zaag. A chemotaxis model motivated by angiogenesis. Comptes Rendus. Mathématique, 2003, 336 (2), pp.141-146. (10.1016/S1631-073X(02)00008-0⟩. ⟨hal-02326144⟩
Françoise Dibos, Georges Koepfler, Pascal Monasse. Total Variation Minimization for Scalar and Vector Image Regularization. S. Osher et N. Paragios. Geometric Level Set Methods in Imaging, Vision and Graphics, Springer Verlag, pp.271-295, 2003. (hal-00171953⟩
Françoise Dibos, Georges Koepfler, Pascal Monasse. Image Alignment. S. Osher et N. Paragios. Geometric Level Set Methods in Imaging, Vision and Graphics, Springer Verlag, pp.121-140, 2003. (hal-00171956⟩
Hatem Zaag. On the regularity of the blow-up set for semilinear heat equations. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002, 19 (5), pp.505-542. (10.1016/S0294-1449(01)00088-9⟩. ⟨hal-02326175⟩
Hatem Zaag. One Dimensional Behavior of Singular N Dimensional Solutions of Semilinear Heat Equations. Communications in Mathematical Physics, 2002, 225 (3), pp.523-549. (10.1007/s002200100589⟩. ⟨hal-02326167⟩
Françoise Dibos, Georges Koepfler. Total Variation Minimization by the Fast Level Sets Transform. IEEE Workshop on Variational and Level Set Methods in Computer Vision, 2001, Vancouver, Canada. pp.179-185, (10.1109/VLSM.2001.938897⟩. ⟨hal-00171755⟩
Françoise Dibos, Georges Koepfler. Minimisation de la variation totale par décomposition rapide en ensembles de niveau. Traitements et analyse d'images, méthodes et applications : TAIMA'01, Oct 2001, Hammamet, Tunisie. pp.169--174. (hal-00171917⟩
Hatem Zaag. A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure. Communications on Pure and Applied Mathematics, 2001, 54 (1), pp.107-133. (10.1002/1097-0312(200101)54:13.0.CO;2-U⟩. ⟨hal-02326199⟩
Frank Merle, Hatem Zaag. Uniform blow-up estimates for nonlinear heat equations and applications. Methods and Applications of Analysis, 2001, 8 (4), pp.551-556. (10.4310/MAA.2001.v8.n4.a5⟩. ⟨hal-03418371⟩
Frank Merle, Hatem Zaag. Uniform blow-up estimates for nonlinear heat equations and applications. Methods and Applications of Analysis, 2001, 8, pp.551 - 556. (hal-02326191⟩
Clotilde Fermanian Kammerer, Hatem Zaag. Boundedness up to blow-up of the difference between two solutions to a semilinear heat equation. Nonlinearity, 2000, 13 (4), pp.1189-1216. (10.1088/0951-7715/13/4/311⟩. ⟨hal-02326207⟩
Françoise Dibos, Georges Koepfler. Total Variation Minimization. SIAM Journal on Numerical Analysis, 2000, 37, pp.646-664. (hal-00171268⟩
Hatem Zaag. Regularity of the blow-up set and singular behavior for semilinear heat equations. Proceedings of the Third International Palestinian Conference, Aug 2000, Bethlehem, Palestinian Territories. pp.337-347, (10.1142/9789812778390_0027⟩. ⟨hal-02326159⟩
Frank Merle, Hatem Zaag. A Liouville theorem for vector-valued nonlinear heat equations and applications. Mathematische Annalen, 2000, 316 (1), pp.103-137. (10.1007/s002080050006⟩. ⟨hal-02326237⟩
Hatem Zaag. Blow-up results for vector-valued nonlinear heat equations with no gradient structure. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1998, 15 (5), pp.581-622. (10.1016/S0294-1449(98)80002-4⟩. ⟨hal-02326373⟩
F. Merle, Hatem Zaag. Refined Uniform Estimates at Blow-Up and Applications for Nonlinear Heat Equations. Geometric And Functional Analysis, 1998, 8 (6), pp.1043-1085. (10.1007/s000390050123⟩. ⟨hal-02326345⟩
Frank Merle, Hatem Zaag. Reconnection of vortex with the boundary and finite time quenching. Nonlinearity, 1997, 10 (6), pp.1497-1550. (10.1088/0951-7715/10/6/006⟩. ⟨hal-02326367⟩
Frank Merle, Hatem Zaag. Stability of the blow-up profile for equations of the type $u_t=\Delta u+|u|^{p-1}u$. Duke Mathematical Journal, 1997, 86 (1), pp.143-195. (10.1215/S0012-7094-97-08605-1⟩. ⟨hal-02326383⟩
Frank Merle, Hatem Zaag. Estimations uniformes à l'explosion pour les équations de la chaleur non linéaires et applications. Séminaire sur les Équations aux Dérivées Partielles,, 1997. (hal-02326284⟩
Frank Merle, Hatem Zaag. Stabilité du profil à l'explosion pour les équations du type $u\sb t=\Delta u+\vert u\vert \sp {p-1}u$.. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996. (hal-02326423⟩
