Jacek JendrejChargé de recherche au CNRSLAGA Téléphone : 01 49 40 35 69 |
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Publications
- Asymptotic stability and classification of multi-solitons for Klein-Gordon equations (with Gong Chen) Preprint (2023)
- Bubble decomposition for the harmonic map heat flow in the equivariant case (with Andrew Lawrie) Preprint (2022)
- Strichartz estimates for Klein-Gordon equations with moving potentials (with Gong Chen) Preprint (2022)
- Statistical mechanics of the wave maps equation in dimension 1+1 (with Zdzisław Brzeźniak) Preprint (2022)
- Soliton resolution for the energy-critical nonlinear wave equation in the radial case (with Andrew Lawrie) Preprint (2022)
- Kink networks for scalar fields in dimension 1+1 (with Gong Chen)
Nonlinear Anal. 215 (2022) 112643 - Nondegeneracy of heteroclinic orbits for a class of potentials on the plane (with Panayotis Smyrnelis) Appl. Math. Lett. 124 (2022) 107681
- Soliton resolution for energy-critical wave maps in the equivariant case (with Andrew Lawrie) Preprint (2021), to appear in J. Amer. Math. Soc.
- Continuous time soliton resolution for two-bubble equivariant wave maps (with Andrew Lawrie) Preprint (2020), to appear in Math. Res. Lett.
- Orbital stability of ground states for a Sobolev critical Schrödinger equation (with Louis Jeanjean, Thanh Trung Le and Nicola Visciglia) J. Math. Pures Appl. 164 (2022) pp. 158–179
- Uniqueness of two-bubble wave maps in high equivariance classes (with Andrew Lawrie) Comm. Pure Appl. Math. (2022)
- An asymptotic expansion of two-bubble wave maps in high equivariance classes (with Andrew Lawrie) Anal. PDE 15 (2022) no. 2, pp. 327–403
- Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line (with Michał Kowalczyk and Andrew Lawrie) Duke Math. J. 171 (2022) no. 18, pp. 3643–3705
- Dynamics of bubbling wave maps with prescribed radiation (with Andrew Lawrie and Casey Rodriguez) Ann. Sci. Éc. Norm. Supér. 55 (2022) no. 4, pp. 1135–1198
- Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5 (with Yvan Martel) J. Math. Pures Appl. 139 (2020), pp. 317–355
- Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations (with Gong Chen)
Trans. Amer. Math. Soc. 372 (2019) no. 10, pp. 7461–7496 - Dynamics of strongly interacting unstable two-solitons for generalized Korteweg-de Vries equations
Preprint (2018) - Two-bubble dynamics for threshold solutions to the wave maps equation (with Andrew Lawrie)
Invent. Math. 213 (2018) no. 3, pp. 1249–1325 - Construction of two-bubble solutions for the energy-critical NLS
Anal. PDE 10 (2017) no. 8, pp. 1923–1959 - Construction of two-bubble solutions for energy-critical wave equations
Amer. J. Math. 141 (2019) no. 1, pp. 55–118 - Nonexistence of radial two-bubbles with opposite signs for the energy-critical wave equation
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XVIII (2018), 1–44 - Bounds on the speed of type II blow-up for the energy critical wave equation in the radial case
Int. Math. Res. Notices (2015) doi: 10.1093/imrn/rnv365 - Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5
J. Funct. Anal. 272 (2017) no. 3, pp. 866–917 - Small time heat kernel asymptotics at the cut locus on surfaces of revolution (with Davide Barilari)
Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014) no. 2, pp. 281–295 - On some extensions of the FKN theorem (with Krzysztof Oleszkiewicz and Jakub Onufry Wojtaszczyk)
Theory Comput. 11 (2015) no. 18, pp. 445–469
Notes de cours
- Distributions (cours de niveau M1, Sorbonne Paris Nord, mars–avril 2022)
- Distributions (cours de niveau M1, Sorbonne Paris Nord, mars–avril 2021)
- Introduction à l'analyse harmonique (cours introductif de niveau M2, Université de Paris, septembre–octobre 2020)
- Introduction à l'analyse harmonique (cours introductif de niveau M2, Paris Diderot, septembre–octobre 2019)
- Théorème du seuil et bulles en interaction pour l'équation des applications d'onde critique (Cours Peccot 2019, Collège de France, salle 5, 13 mai 11h, 20 mai 10h, 27 mai 10h, 3 juin 10h)
- Notes sur les estimations de Strichartz pour les ondes (pour un mini-cours que j'ai donné à l'Université de Pékin en automne 2018)
Diplômes
Mes directeurs de thèse sont Yvan Martel et Frank Merle. Voici le manuscrit de cette thèse, soutenue à Palaiseau, le 11 juillet 2016 : Sur la dynamique d'équations des ondes avec non-linéarité énergie critique focalisante.
J'ai soutenu l'HDR le 16 mars 2021 à l'université Sorbonne Paris Nord. Voici le manuscrit: Dynamics of multi-solitons for wave equations.
Séminaires et conférences
- Séminaire d'Analyse. Université Paris-Sud (02/02/2023, slides).
- Seminar on General Relativity. Laboratoire Jacques-Louis Lions, Paris (12/01/2023, slides).
- PDE Seminar. Polish Academy of Sciences, Warszawa, Polska (19/12/2022).
- Séminaire d'Analyse. Université de Nantes (05/12/22).
- Séminaire du Laboratoire de Mathématiques. Université de Reims Champagne-Ardenne (08/11/22).
- Analysis Seminar. Yale University (26/10/2022).
- Trends in Soliton Dynamics and Singularity Formation (main speaker). Université Texas A & M (23/10/2022).
- Seminarium Instytutu Fizyki Teoretycznej. Uniwersytet Jagielloński, Polska (14/09/22).
- Advances in nonlinear differential equations: analysis, numerics and applications. Tianjin University (13/08/22, online).
- Topics in variational problems arising from models in physics. Będlewo, Polska (28/07/22).
- Séminaire d'Analyse Numérique et EDP. Université de la Côte d'Azur (19/05/22, online).
- Workshop Mathematics of Wave Phenomena. Karlsruhe Institute of Technology (14/02/22).
- Workshop de l'Institut Camille Jordan. St Etienne (09/12/21).
- SITE Research Center Talk Series. Abu Dhabi (09/11/21).
- Analysis and PDE Seminar. UC Berkeley (11/10/21).
- PDE Seminar. Université Texas A & M (14/09/21, slides).
- Juliusz Schauder Medal Awarding Ceremony. Toruń (05/06/21).
- Seminar ANALYSIS. Universität Leipzig (23/04/20).
- Séminaire Laurent Schwartz. École polytechnique (10/03/20, slides).
- Vidéo-séminaire Berkeley-Bonn-Paris Nord-Zurich (27/02/20).
- PDE Seminar. University of Bergen (18/02/20).
- DNA Seminar. Norwegian University of Science and Technology, Trondheim (13/02/20).
- Séminaire EDP. Université de Picardie, Amiens (27/01/20).
- PDE and Applied Math Seminar. UC Davis, California (09/01/20).
- Seminario CMM. Universidad de Chile, Santiago (20/11/19).
- FLACAM 2019. Universidad de Chile, Santiago (07/11/19, slides).
- Control and Dynamics of PDEs. IRMA, Strasbourg (28/10/19).
- DEA 2019. AGH, Kraków, Polska (19/09/19, slides).
- Séminaire EDP. Université de Franche Comté, Besançon (31/01/19).
- Analysis Seminar. University of Edinburgh (28/01/19).
- PDE Seminar. University of Science and Technology of China, Hefei (26/11/18).
- Séminaire EDP et Physique mathématique. Villetaneuse (29/06/18).
- Jeunes chercheurs en analyse des équations dispersives. Villetaneuse (19/06/18).
- Nonlinear phenomena in dispersive equations. Université de Lille (24/05/18).
- Analysis and Applied Math Seminar. University of Toronto (20/04/18).
- Calderon-Zygmund Analysis Seminar. University of Chicago (24/03/18).
- PDE/Analysis Seminar. MIT (20/03/18).
- CAPDE Seminar. Universidad de Chile (12/03/18).
- Séminaire MIP. Institut de mathématiques de Toulouse (16/01/18).
- PDE Seminar. University of Minnesota (06/12/2017).
- Calderon-Zygmund Analysis Seminar. University of Chicago (27/11/17).
- IAS, Princeton (02/11/2017).
- Applied Mathematics Seminar. Washington DC (13/09/2017, slides).
- Analysis and PDE seminar. Berkeley (11/09/2017).
- Analyse asymptotique des équations d'évolution. CIRM, Luminy (03/07/2017).
- Séminaire Analyse Numérique et E.D.P. Laboratoire Paul Painlevé, Lille (27/04/2017).
- Séminaire E.D.P. IRMA, Strasbourg (11/04/2017).
- Séminaire Analyse Numérique et E.D.P. Université Paris-Sud, Orsay (06/04/2017).
- Journées Jeunes EDPistes. Autrans (22/03/2017).
- Duyckaerts Mini-school at UNC. Chapel Hill (13/02/2017, slides).
- AMS Joint Mathematics Meetings in Atlanta (06/01/2017).
- 2nd Workshop on Evolution Equations in Valdivia. Chile (13/12/2016).
- Calderón-Zygmund Seminar. University of Chicago (17/10/2016).
- FRG Conference. MIT (10/09/2016).
- Chaire FSMP Nader Masmoudi. IHP (28/06/2016).
- Séminaire Laurent Schwartz. IHÉS (03/05/2016, slides).
- Séminaire des doctorantes et doctorants CMAP/CMLS. École Polytechnique (20/11/2015, slides).
Autres textes
Last updated: 03/02/2023