Thèse:

"Diffraction pour les équations de Maxwell, Thèse de l'Université Paris Sud, 1992.

Habilitation (Orsay):

"Modélisation et analyse des EDP issues de problèmes de la physique", 1999 .

Publications

Lafitte, Olivier, Runborg, Olof:"Error estimates for Gaussian beams at a fold caustic." Asymptot. Anal.135(2023), no.1-2, 209–255.

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

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

Lafitte, Olivier, Nguyễn, Tiến-Tài: "Spectral analysis of the incompressible viscous Rayleigh-Taylor system in R3." Water Waves4(2022), no.2, 259–305.

A. Moussa and O. Lafitte, "Uncertainty treatment of a coupled model of thermohydraulics and neutronics using special functions solutions," 2021 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Timisoara, Romania, Déc 2021, pp. 40-44, doi: 10.1109/SYNASC54541.2021.00019. ,

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⟩

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, Vol. 94, 127-144, 2021 (doi:10.2528/PIERB21072803)

Lafitte, Olivier: "Unstable spectrum of a Rayleigh-Bénard system with variable viscosity" C. R. Math. Acad. Sci. Paris 359 (2021), 1165–1178.

François Dubois , Olivier Lafitte: "An analytic and symbolic analysis of a coupled thermo-neutronic problem" IEEE, pp.61-65, 2021, ⟨10.1109/synasc54541.2021.00022⟩

Boumaza, H.; Lafitte, O.: "Integrated density of states: from the finite range to the periodic Airy-Schrödinger operator" J. Math. Phys. 62 (2021), no. 4,

O. Lafitte: Hybrid singularity for the oblique incidence response of a cold plasma Indiana Univ. Math. J. 69 (2020), no. 4, 1317–1363.

H. Boumaza, O. Lafitte: The band spectrum of the periodic Airy-Schrodinger operator on the real line, Journal of Differential Equations, 2018 (264) 455-505.

L. Schwartz, O. Lafitte, J. Da Veiga: Toward a Reasoned Classification of Diseases Using Physico-Chemical Based Phenotypes Frontiers in physiology, 2018

da Veiga, Jorgelindo; Lafitte, Olivier; Schwartz, Laurent:A simple mathematical model for the growth and division of cells MathS in Action 8 (2017), no. 1, 1–8.

B. Despres, L.M. Imbert-Gerard, O. Lafitte: Solution to the cold plasma at resonances Journal de l'Ecole Polytechnique, 4 (2017), 177-222

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⟩

O. Lafitte, M. Levy-Noriega, L. Schwartz: Mechanical stress increases brain amyloid, tau, and 2 synuclein concentrations in wild-type mice, Journal of Alzheimer and Dementia, 2017

O. Lafitte, M. Williams, K. Zumbrun: Block-diagonalization of ODEs in the semiclassical limit and $C^\omega$ versus $C^\infty$ stationary phase , Siam Journal of Math. Anal, 2016.

S. Dellacherie, O. Lafitte''', Une solution explicite monodimensionnelle d'un modèle simplifié de couplaage thermohydraulique-neutronique. Annales des sciences mathématiques du Québec (2016)

S. Dellacherie, E. Jamelot, O. Lafitte: " A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation " Applied Maths Letters 62 (2016), 35-41

H. Hampel, O. Lafitte, M. Levy-Noriega, L. Schwartz: Mechanical stress related to brain atrophy in Alzheimer's disease , Journal of Alzheimer and dementia, 2015.

O. Lafitte, M. Williams, K. Zumbrun: High frequency detonation and turning points at infinity, Siam J. Math. Anal 2015, pdf.

Y. Noumir, F. Dubois, O. Lafitte: Numerical Eulerian method for linearized gas dynamics in the high frequency regime Numerische Mathematik Numer. Math. (2014) 127:641-683

Y. Penel, S. Dellacherie, O. Lafitte: Theoretical study of an abstract bubble vibration model Zeitschrift fur Analysis und ihre Anwendungen Journal for Analysis and its Applications Volume 32, Issue 1, 2013, pp. 19-36

M. Bernard et al: Study of a low mach number nuclear core model for single- phase flows ESAIM: PROCEEDINGS, December 2012, Vol. 38, p. 118-134

D. Bouche and O. Lafitte: Simultaneous study of the diffraction by a 2D-convex obstacle through boundary layer method and microlocal analysis Asymptotic Analysis 79 (2012) 347-378

O. Lafitte, M. Williams, K. Zumbrun: The Erpenbeck high frequency instability theorem for Zeldovitch-von Neumann-Doring detonations: Arch. Ration. Mech. Anal. 204, No. 1, 141-187 (2012)

B. Barker, O. Lafitte, K. Zumbrun, : Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity. Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 2,

F. Pla, H. Herrero and O. Lafitte: Theoretical and numerical study of a thermal convection problem with temperature-dependent viscosity in an infinite layer Physica D 239 (6) 1108-1119, 2010.

J. Humpherys, O. Lafitte, K. Zumbrun: Stability of isentropic Navier-Stokes shocks in the high Mach number limit. Comm. Math. Phys. 293 (2010), no. 1,1-36 (2010)

B. Barker, J. Humpherys, O. Lafitte, K. Rudd, K.Zumbrun: Stability of isentropic Navier-Stokes shocks Appl. Math. Lett. 21 (2008), no. 7, 742-747

O. Lafitte: The linear and nonlinear Rayleigh-Taylor instability for the quasi-isobaric profile Phys. D 237 (2008), no. 10-12,

R. Chong, O. Lafitte, F. Pla, J. Cahen : Linear growth rate for Kelvin-Helmholtz instability appearing in a moving mixing layer Physica Scripta Vol. 2008 T 132, December 2008

O. Lafitte: Study of the linear ablation growth rate for the quasi- isobaric model of Euler equations with thermal conductivity. Indiana Univ. Math. J. 57 (2008), no. 2

O. Lafitte, Y. Noumir: High frequency and numerical Eulerian methods for aeroacoustic problems J. Comput. Appl. Math. 204 (2007),

[17] Dirichlet to Neumann map for domaines with corners and approximate boundary conditions (avec L. Halpern) J. Comput. Appl. Math. 204 (2007), no. 2, 505-514, [16] Study of the semiclassical regime for ablation front models (avec B. Helffer) Arch. Ration. Mech. Anal. 183 (2007), no. 3, 371-409

J.D. Benamou, O. Lafitte, R.Sentis, I. Solliec:A geometric optic based numerical method for high fre- quency electromagnetic fields computations near fold caustics II: The energy J. Comput. Appl. Math. 167, (1), 91-134 (2004)

J.D. Benamou, O. Lafitte, R.Sentis, I. Solliec: A geometric optic based numerical method for high fre- quency electromagnetic fields computations near fold caustics I I J. Comput. Appl. Math. 156, (1), 93-125 (2003)

B. Helffer and O. Lafitte: Asymptotic methods for the eigenvalues of the Rayleigh equation for the linearized Rayleigh-Taylor instability Asymptotic Analysis 33 (2003) 3-4, 189-235.

O. Lafitte, C. Le Potier The Richards equation for the modeling of a nuclear waste repository Elliptic and parabolic problems, Rolduc- Gaeta, World Scientific 2002 152-159

O. Lafitte Existence and positivity of a system of k-epsilon with a production term of the Rayleigh-Taylor type, Appl. Maths. Letters 15 (3), 2002

O. Lafitte; Sur la phase lin ́eaire de l’instabilit ́e de Rayleigh-Taylor: Expos ́e au S ́eminaire d’ ́equations aux D ́eriv ́ees partielles, CMAT, Ecole Poly- technique, Avril 2001

C. Cherfils-Clerouin, O. Lafitte, P.A. Raviart: Asymptotic results for the linear stage of the Rayleigh- Taylor instability Mathematical Fluid mechanics, 47-71, Advances in Mathematical Fluid Mechanics, Birkhauser, Basel, 2001.

C. Cherfils-Clerouin, O. Lafitte: Analytic solutions of the Rayleigh equation for affine density profiles Phys. Rev. E, 62 (2) pp 2967-2970, 2000

O. Lafitte: Diffraction in the high frequency regime by a thin layer of dielectric material II : the wave diffracted in the shadow SIAM Journal of Applied Mathematics, 59 (3) 1053-1079 (1999)

O. Lafitte: Diffraction in the high frequency regime by a thin layer of dielectric material I: the impedance boundary condition SIAM Journal of Applied Mathematics 59 (3) 1028-1052 (1999)

O. Lafitte: Diffraction for a Neumann boundary condition: Commun. in Partial Differential Equations, 22 (3-4), 555-580 (1997)

O. Lafitte: Second term of the asymptotic expansion of the diffracted wave in the shadow: Asymptotic Analysis (13) 319-359 (1996)

O. Lafitte: The kernel of the Neumann operator for a strictly diffractive analytic problem Commun. in Partial Differential Equations, 20 (3-4), 419-483 (1995)

Conferences proceedings

SYNACS 2017 Parametric study of the accuracy of an approximate solution for the mild-slope equation E. Audusse, O. Lafitte, A. Leroy, B. Melinand, C.T. Pham and P. Quemar

SYNACS 2016: Numerical results for the coupling of a simple neutronics diffusion model and a simple hydrodynamics low mach number model without coupling codes S. Dellacherie, E. Jamelot, O. Lafitte, M. Riyaz