Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Jérémie Joudioux"'
Publikováno v:
Annales de l'Institut Fourier
We prove the stability of de Sitter space-time as a solution to the Einstein-Vlasov system with massless particles. The semi-global stability of Minkowski space-time is also addressed. The proof relies on conformal techniques, namely Friedrich's conf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a503b157793805c417c7e4323df235ea
https://hdl.handle.net/21.11116/0000-0003-4851-121.11116/0000-0003-484F-5
https://hdl.handle.net/21.11116/0000-0003-4851-121.11116/0000-0003-484F-5
Publikováno v:
Phys. Rev. D 103
The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate and polarization-dependent corre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a6a39d52643b0fa7292f4ce0cd484e5
https://hdl.handle.net/21.11116/0000-0007-9802-B21.11116/0000-0007-9804-921.11116/0000-0008-1056-5
https://hdl.handle.net/21.11116/0000-0007-9802-B21.11116/0000-0007-9804-921.11116/0000-0008-1056-5
Publikováno v:
Archive for Rational Mechanics and Analysis
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compact support assumptions on the initial data of the Vlasov field in spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3b4e8e4ce3e744e795a39f66b05d33f
https://hal.archives-ouvertes.fr/hal-02612150
https://hal.archives-ouvertes.fr/hal-02612150
Autor:
Ilya Dodin, Marius A. Oancea, Claudio F. Paganini, Jérémie Joudioux, Lars Andersson, Daniel Ruiz
Publikováno v:
Physical Review D
The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics. However, this model is valid only in the limit of infinitely high frequencies. At
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f1fee9c107aa06a1964d61ddcc907f2
http://arxiv.org/abs/2003.04553
http://arxiv.org/abs/2003.04553
Autor:
Jérémie Joudioux
Publikováno v:
Letters in Mathematical Physics
The purpose of this note is to prove the existence of a conformal scattering operator for the cubic defocusing wave equation on a non-stationary background. The proof essentially relies on solving the characteristic initial value problem by the metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b595ab671c46811a5d503344b0a6af75
https://hdl.handle.net/21.11116/0000-0003-484A-A21.11116/0000-0003-484C-821.11116/0000-0005-DD15-B
https://hdl.handle.net/21.11116/0000-0003-484A-A21.11116/0000-0003-484C-821.11116/0000-0005-DD15-B
Publikováno v:
Physical Review D, 98, 4, pp. 1-9
Physical Review D, 98, 1-9
Physical Review D, 98, 1-9
We analyze the asymptotic behavior of small perturbations of Minkowski space caused by the presence of ensembles of massive and massless particles in spherical symmetries. The perturbations we consider are compactly supported in space and momenta.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d6a709eced6b6c89b6ef28af0c3580a
https://hdl.handle.net/2066/194145
https://hdl.handle.net/2066/194145
Publikováno v:
Analysis & PDE
We prove the global stability of the Minkowski space viewed as the trivial solution of the Einstein-Vlasov system. To estimate the Vlasov field, we use the vector field and modified vector field techniques developed in [FJS15; FJS17]. In particular,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3c8082d8bbffe2cdbfbd4103cfac978
http://arxiv.org/abs/1707.06141
http://arxiv.org/abs/1707.06141
Publikováno v:
Communications in Partial Differential Equations, 43, 47-65
Andersson, L, Blue, P & Joudioux, J 2018, ' Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime ', Communications in partial differential equations, vol. 43, no. 1, pp. 47-65 . https://doi.org/10.1080/03605302.2017.1422517
Communications in Partial Differential Equations
Communications in Partial Differential Equations, 43, 1, pp. 47-65
Andersson, L, Blue, P & Joudioux, J 2018, ' Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime ', Communications in partial differential equations, vol. 43, no. 1, pp. 47-65 . https://doi.org/10.1080/03605302.2017.1422517
Communications in Partial Differential Equations
Communications in Partial Differential Equations, 43, 1, pp. 47-65
This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f579284827aabad44f91dd1295b8096c
Publikováno v:
Anal. PDE 10, no. 7 (2017), 1539-1612
We adapt the vector field method of Klainerman to the study of relativistic transport equations. First, we prove robust decay estimates for velocity averages of solutions to the relativistic massive and massless transport equations, without any compa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a04011180ce8ac3b5dc79aa33af1499a
https://hal.archives-ouvertes.fr/hal-01523498
https://hal.archives-ouvertes.fr/hal-01523498
Autor:
Jérémie Joudioux
Publikováno v:
Journal of Mathematical Physics. 58:111513
This short note is a follow-up on the paper by Beig and Chru\'sciel regarding the use of potentials to perform a gluing and shielding of initial data for Maxwell fields and linearised gravity. Based on a work in collaboration with Andersson and B\"ac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d340fadadfc6379f601bb1dc382eac5a
https://doi.org/10.1063/1.5001004
https://doi.org/10.1063/1.5001004
