Jacek JendrejInstitut de Mathématiques de Jussieu |
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Editorial activity
Publications
- Concentric bubbles concentrating in finite time for the energy critical wave maps equation (with Joachim Krieger) Preprint (2025)
- Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation (with Asma Azaiez and Hatem Zaag) Preprint (2025)
- Classification of kink clusters for scalar fields in dimension 1+1 (with Andrew Lawrie) Preprint (2024)
- Multi-soliton solutions for equivariant wave maps on a 2+1 dimensional wormhole (with Piotr Bizoń and Maciej Maliborski) Phys. Rev. D 111 (2025) no. 2
- Wave maps in dimension 1+1 with an external forcing (with Zdzisław Brzeźniak and Nimit Rana) Preprint (2024)
- Continuous in time bubble decomposition for the harmonic map heat flow (with Andrew Lawrie and Wilhelm Schlag) Forum Math. Pi 13 (2025), DOI : https://doi.org/10.1017/fmp.2024.15
- 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) Comm. Math. Phys. 405 (2024) article no. 7
- 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) J. Funct. Anal. 288 (2025) 110688
- 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) J. Amer. Math. Soc. (2024) DOI: https://doi.org/10.1090/jams/1012
- 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
Ann. Inst. Fourier 75 (2025) no. 5, pp. 1925–1985 - 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
Actes de rencontres
- Dynamics of kink clusters for scalar fields in dimension 1 + 1 (avec Andrew Lawrie)
Journées EDP à Aussois, juin 2023 - Paires kink-antikink en forte interaction pour l'équation des champs scalaires en dimension 1 + 1
Séminaire Laurent Schwartz, le 10 mars 2020 - Construction of two-bubble solutions for some energy-critical wave equations
Séminaire Laurent Schwartz, le 3 mai 2016
Notes de cours
- Introduction aux équations dispersives (cours fondamental II de niveau M2, Sorbonne Université, janvier–février 2026)
- Dynamics of equivariant wave maps (pour un mini-cours à l'université de Wuhan en juin 2024)
- A very brief introduction to dispersive PDEs (pour un mini-cours à l'université de Varsovie en mars et avril 2024)
- 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)
- Institute of Theoretical Physics, Jagiellonian University, Kraków (19/03/2025).
- Mathematical Physics Seminar, Cambridge, UK (25/2/2025)
- PDE Seminar, Cambridge, UK (24/2/2025)
- Séminaire de Géométrie, Sophie Germain, Paris (20/1/2025).
- Séminaire d'Analyse Fonctionnelle, Jussieu, Paris (9/1/2025).
- Seminar of the Applied Mathematics Faculty, AGH, Kraków (19/12/2024).
- IMPAN Colloquium, Warszawa (18/12/2024).
- IMJ Analysis and Geometry Seminar, Paris (5/11/2024).
- Paris-London Analysis Seminar, Queen Mary University, London (18/10/2024)
- Bernoulli workshop: dispersive equations. Lausanne (8/10/2024).
- Seminar of Laboratoire Jacques-Louis Lions, Paris (4/10/2024, slides).
- European Congress of Mathematics, Sevilla (15/07/2024–19/07/2024).
Anciens exposés
Autres textes
Dernière modification : 18 mars 2025