Jacek Jendrej
Editorial activity
Publications
High-order long-time asymptotics for small solutions to the one-dimensional nonlinear Schrödinger equation
(with Tony Salvi )
Preprint (2026)
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
Lecture notes
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 (14–18/9/2026)
EMYA Workshop, Będlewo (24–28/8/2026)
LAMA, Université Savoie Mont Blanc (16/4/2026)
Institute of Theoretical Physics, Kraków (18/3/2026)
Basel–Zurich Seminar in Analysis, Zurich (14/11/2025)
10th Polish Mathematicians Forum, Białystok (10/9/2025)
Analysis and Computation of Dispersive PDE and Fluid Dynamics, Paris (16/6/2025)
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)
Conferences
Workshops and research visits
Working group: SU—USTC collaboration on dispersive PDEsEvent webpage
Publications supported by the grant
