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pro vyhledávání: '"Jacques Smulevici"'
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geodesic. This provides the first well-posedness result for this specific
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e7ee27351f5c4884e557cc59d972cf3
https://hal.archives-ouvertes.fr/hal-02696274v2/document
https://hal.archives-ouvertes.fr/hal-02696274v2/document
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:
Jacques Smulevici
Publikováno v:
Séminaire Laurent Schwartz — EDP et applications. :1-15
Autor:
Jacques Smulevici
Publikováno v:
Séminaire Laurent Schwartz — EDP et applications
Autor:
Philippe G. LeFloch, Jacques Smulevici
Publikováno v:
Journal of Differential Equations. 260:1496-1521
We investigate the future asymptotic behavior of Gowdy spacetimes on T3T3, when the metric satisfies weak regularity conditions, so that the metric coefficients (in suitable coordinates) are only in the Sobolev space H1H1 or have even weaker regulari
Autor:
Philippe G. LeFloch, Jacques Smulevici
Publikováno v:
Journal of the European Mathematical Society. 17:1229-1292
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
Autor:
Jacques Smulevici
Publikováno v:
Séminaire Laurent Schwartz — EDP et applications. :1-14
Autor:
Jacques Smulevici
Publikováno v:
Annals of PDE
Annals of PDE, Springer, 2016, ⟨10.1007/s40818-016-0016-2⟩
Annals of PDE, Springer, 2016, ⟨10.1007/s40818-016-0016-2⟩
International audience; The aim of this article is to demonstrate how the vector field method of Klainerman can be adapted to the study of transport equations. After an illustration of the method for the free transport operator, we apply the vector f
Autor:
Philippe G. LeFloch, Jacques Smulevici
Publikováno v:
Anal. PDE 9, no. 2 (2016), 363-395
HAL
HAL
We investigate the late-time asymptotics of future expanding, polarized vacuum Einstein spacetimes with T2-symmetry on T3, which, by definition, admit two spacelike Killing fields. Our main result is the existence of a stable asymptotic regime within
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2724093dc9e9fe0d53c92febe3cabbb4
https://projecteuclid.org/euclid.apde/1510843240
https://projecteuclid.org/euclid.apde/1510843240