Jacek Jendrej

Institut de Mathématiques de Jussieu–PRG
Sorbonne University
4 place Jussieu
75005 Paris, France

Email: jendrej AT imj-prg.fr

Editorial activity

• Annals of PDE
• Topological Methods in Nonlinear Analysis

Publications

• Construction of two-bubble solutions for the energy-critical Hartree equation (with Xuemei Li and Guixiang Xu)
  Preprint (2026)
• Rate of convergence to equilibrium for the heated string (with Tomasz Cieślak and Christian Stinner)
  Preprint (2025)
• 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), accepted in Proc. London Math. Soc.
• 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: 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: 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

Conference proceedings

• Dynamics of kink clusters for scalar fields in dimension 1 + 1 (with Andrew Lawrie)
  Journées EDP, Aussois, June 2023
• Strongly interacting kink–antikink pairs for scalar field equations in dimension 1 + 1
  Laurent Schwartz Seminar, March 10, 2020
• Construction of two-bubble solutions for some energy-critical wave equations
  Laurent Schwartz Seminar, May 3, 2016

Lecture notes

• Introduction to dispersive equations
• Dynamics of equivariant wave maps
• A very brief introduction to dispersive PDEs
• Distributions (2022)
• Distributions (2021)
• Introduction to harmonic analysis (2020)
• Introduction to harmonic analysis (2019)

Degrees

PhD thesis supervised by Yvan Martel and Frank Merle, defended on July 11, 2016:
On the dynamics of wave equations with focusing energy-critical nonlinearity.

Habilitation (HDR), defended on March 16, 2021:
Dynamics of multi-solitons for wave equations.

Seminars and conferences (recent and upcoming)

• Forum of Partial Differential Equations (14–18/09/2026)
• EMYA Workshop, Będlewo (24–28/08/2026)
• Institute of Theoretical Physics, Kraków (18/03/2026)
• Basel–Zurich Seminar in Analysis, Zurich (14/11/2025)
• 10th Polish Mathematicians Forum, Białystok (10/09/2025)
• Analysis and Computation of Dispersive PDE and Fluid Dynamics, Paris (16/06/2025)
• Institute of Theoretical Physics, Kraków (19/03/2025)
• Mathematical Physics Seminar, Cambridge (25/02/2025)
• PDE Seminar, Cambridge (24/02/2025)
• Geometry Seminar, Paris (20/01/2025)
• Functional Analysis Seminar, Jussieu (09/01/2025)

Past talks

Other texts

ERC INSOLIT

ERC Starting Grant (2023–2028) — Interacting Solitary Waves in Nonlinear Wave Equations

Project webpage: https://cordis.europa.eu/project/id/101117126

Project members

• Jacek Jendrej (Principal Investigator)
• Tony Salvi (Postdoctoral researcher)
• Neba Polneau (PhD student)

Scientific meetings

• Nonlinear Dispersive Equations: Advances and Perspectives
  CIRM (Luminy, France), May 12—16, 2025

Publications supported by the grant

• Multi-soliton solutions for equivariant wave maps on a 2+1 dimensional wormhole
  Piotr Bizoń, Jacek Jendrej, Maciej Maliborski
  Phys. Rev. D 111 (2025) no. 2
• Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation
  Jacek Jendrej, Asma Azaiez, Hatem Zaag
  Accepted in Proc. London Math. Soc.