The analysis of geometric non-linear wave and kinetic equations

Project Information

GEOWAKI

Grant agreement ID: 714408

DOI 10.3030/714408

Project closed

EC signature date 8 November 2016

Start date 1 February 2017

End date 31 July 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 071 008,00

EU contribution € 1 071 008,00

Coordinated by

SORBONNE UNIVERSITE
France

Publications

Peer reviewed articles (6)

The Initial Boundary Value Problem in General Relativity: The Umbilic Case

Author(s): Grigorios Fournodavlos, Jacques Smulevici
Published in: IMRN, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab359

On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder

Author(s): Athanasios Chatzikaleas
Published in: Journal of Mathematical Physics, 2020, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0026015

Asymptotic Stability of Minkowski Space-Time with non-compactly supported massless Vlasov matter

Author(s): Léo Bigorgne, David Fajman, Jérémie Joudioux, Jacques Smulevici, Maximilian Thaller
Published in: Archive for Rational Mechanics and Analysis, 2021, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01639-2

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant

Author(s): Grigorios Fournodavlos
Published in: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0078470

On “Hard Stars” in General Relativity

Author(s): Grigorios Fournodavlos, Volker Schlue
Published in: Annales Henri Poincaré, Issue 20/7, 2019, Page(s) 2135-2172, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-019-00793-4

The Initial Boundary Value Problem for the Einstein Equations with Totally Geodesic Timelike Boundary

Author(s): Grigorios Fournodavlos; Jacques Smulevici
Published in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04141-8

Other (14)

On the Fourier analysis of the Einstein-Klein-Gordon system: Growth and Decay of the Fourier constants

Author(s): Chatzikaleas, Athanasios
Published in: https://hal.archives-ouvertes.fr/hal-02564653, 2020
Publisher: HAL
DOI: 10.48550/arxiv.2004.11049

Non-linear periodic waves on the Einstein cylinder

Author(s): Athanasios Chatzikaleas, Jacques Smulevici
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2201.05447

The Stability of the Minkowski space for the Einstein-Vlasov system

Author(s): Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
Published in: https://hal.archives-ouvertes.fr/hal-01787088, Issue 3, 2018
Publisher: arxiv

Asymptotic properties of the solutions to the Vlasov-Maxwell system in the exterior of a light cone

Author(s): Bigorgne , Léo
Published in: https://hal.archives-ouvertes.fr/hal-02007249, 2019
Publisher: arxiv

A vector field method for massless relativistic transport equations and applications

Author(s): Léo Bigorgne
Published in: arxiv, 2019
Publisher: arxiv

Sharp asymptotic behavior of solutions of the $3d$ Vlasov-Maxwell system with small data

Author(s): Bigorgne , Léo
Published in: https://hal.archives-ouvertes.fr/hal-01967578, Issue 1, 2019
Publisher: arxiv

"Sharp asymptotics for small data solutions of the Vlasov-Nordstr\""om system in three dimensions"

Author(s): Fajman, David; Joudioux, Jérémie; Smulevici, Jacques
Published in: Issue 2, 2017
Publisher: arxiv

Sharp Decay Estimates for the Vlasov-Poisson and Vlasov-Yukawa Systems with Small Data

Author(s): Xianglong Duan
Published in: arxiv, 2019
Publisher: arxiv

Sharp asymptotics for the solutions of the three-dimensional massless Vlasov-Maxwell system with small data

Author(s): Bigorgne, Léo
Published in: https://hal.archives-ouvertes.fr/hal-01966234, Issue 2, 2019
Publisher: arxiv

Asymptotic properties of small data solutions of the Vlasov-Maxwell system in high dimensions

Author(s): Léo Bigorgne
Published in: 2017
Publisher: arxiv

Static spherically symmetric Einstein-Vlasov bifurcations of the Schwarzschild spacetime

Author(s): Jabiri, Fatima Ezzahra
Published in: https://hal.archives-ouvertes.fr/hal-02447720, Issue 1, 2020
Publisher: ArXiv

On the initial boundary value problem for the Einstein vacuum equations in the maximal gauge

Author(s): Fournodavlos, Grigorios; Smulevici, Jacques
Published in: https://hal.archives-ouvertes.fr/hal-02402912, Issue 1, 2020
Publisher: arxiv

Asymptotically Kasner-like singularities

Author(s): Fournodavlos, Grigorios; Luk, Jonathan
Published in: 2020, 2020
Publisher: HAL
DOI: 10.48550/arxiv.2003.13591

Stationary axisymmetric Einstein-Vlasov bifurcations of the Kerr spacetime

Author(s): Fatima-Ezzahra Jabiri
Published in: 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2202.10245

Non-peer reviewed articles (1)

Vector field methods for kinetic equations with applications to classical and relativistic systems

Author(s): Jacques Smulevici
Published in: Séminaire Laurent Schwartz — EDP et applications, 2016, Page(s) 1-10, ISSN 2266-0607
Publisher: Ed. Éc. Polytech
DOI: 10.5802/slsedp.103