Jacek JendrejChargé de recherche au CNRSLAGA Téléphone : 01 49 40 35 69 |
 |
Publications
- Continuous in time bubble decomposition for the harmonic map heat flow (with Andrew Lawrie and Wilhelm Schlag) Preprint (2023)
- Dynamics of kink clusters for scalar fields in dimension 1+1 (with Andrew Lawrie) Preprint (2023)
- Asymptotic stability and classification of multi-solitons for Klein-Gordon equations (with Gong Chen) Preprint (2023), to appear in Comm. Math. Phys.
- Bubble decomposition for the harmonic map heat flow in the equivariant case (with Andrew Lawrie) Calc. Var. PDE 62 (2023) article no. 264
- 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) Ann. PDE 9 (2023), article no. 18
- 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) Math. Res. Lett. 29 (2022) no. 6, pp. 1745–1766
- 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. 76 (2022) no. 8, pp. 1608–1656
- 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 (récents et à venir)
- PDE Semester. ICMAT. Madrid (24/09/2023–29/09/2023).
- Journées EDP. Aussois (06/2023).
- ICMS Workhop. Edinburgh (28/05/2023–01/06/2023).
- Séminaire EDP. Université de Picardie, Amiens (03/04/2023).
- PDE Seminar, EPFL. Lausanne (31/03/2023).
- Seminarium Instytutu Fizyki Teoretycznej. Uniwersytet Jagielloński, Polska (15/03/2023, slides, video 1, video 2).
- UCSD PDE Seminar. San Diego (online, 14/03/2023, slides).
- Variational Methods and PDE Working Group. IMPAN, Warszawa (13/03/2023).
- 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).
Anciens exposés
Autres textes
Dernière modification : 13 avril 2023