Zobrazeno 1 - 10
of 128
pro vyhledávání: '"A, Smulevici"'
We prove the existence of time-periodic solutions to non-linear massive Klein-Gordon equations in Anti-de Sitter as well as their orbital stability over exponentially long times for certain values of the mass corresponding to completely resonant spec
Externí odkaz:
http://arxiv.org/abs/2304.12784
Publikováno v:
Analysis & PDE 17 (2024) 2311-2378
Motivated by the study of small amplitudes non-linear waves in the Anti-de-Sitter spacetime and in particular the conjectured existence of periodic in time solutions to the Einstein equations, we construct families of arbitrary small time-periodic so
Externí odkaz:
http://arxiv.org/abs/2201.05447
We give a short proof of local well-posedness for the initial boundary value problem in general relativity with sole boundary condition the requirement that the boundary is umbilic. This includes as a special case the totally geodesic boundary condit
Externí odkaz:
http://arxiv.org/abs/2104.08851
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:
http://arxiv.org/abs/2006.01498
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:
http://arxiv.org/abs/2003.03346
We consider the initial boundary value problem for the Einstein vacuum equations in the maximal gauge, or more generally, in a gauge where the mean curvature of a timelike foliation is fixed near the boundary. We prove the existence of solutions such
Externí odkaz:
http://arxiv.org/abs/1912.07338
Publikováno v:
Analysis & PDE 14 (2021) 425-531
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:
http://arxiv.org/abs/1707.06141
This paper proves almost-sharp asymptotics for small data solutions of the Vlasov-Nordstr\"om system in dimension three. This system consists of a wave equation coupled to a transport equation and describes an ensemble of relativistic, self-gravitati
Externí odkaz:
http://arxiv.org/abs/1704.05353
Publikováno v:
Analysis & PDE 10 (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:
http://arxiv.org/abs/1510.04939
Autor:
Smulevici, Jacques
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 field method to the Vlaso
Externí odkaz:
http://arxiv.org/abs/1504.02195