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pro vyhledávání: '"Brauer, Uwe"'
Autor:
Brauer, Uwe, Karp, Lavi
We cast the non--isentropic Einstein--Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems of hyperbolic type. We obtain this form by using the pressure $p$ and not the density $\rho$ as a variab
Externí odkaz:
http://arxiv.org/abs/2007.13603
Autor:
Brauer, Uwe, Karp, Lavi
We show global existence of classical solutions for the nonlinear Nordstr\"om theory with a source term and a cosmological constant under the assumption that the source term is small in an appropriate norm, while in some cases no smallness assumption
Externí odkaz:
http://arxiv.org/abs/1912.03643
Autor:
Brauer, Uwe, Karp, Lavi
We show the continuity of the flow map for quasilinear symmetric hyperbolic systems with general right--hand sides in different functional setting, including weighted Sobolev spaces $H_{s,\delta}$. An essential tool to achieve the continuity of the f
Externí odkaz:
http://arxiv.org/abs/1811.05279
Autor:
Brauer, Uwe, Karp, Lavi
Local existence and well posedness for a class of solutions for the Euler Poisson system is shown. These solutions have a density $\rho$ which either falls off at infinity or has compact support. The solutions have finite mass, finite energy function
Externí odkaz:
http://arxiv.org/abs/1511.05613
Autor:
Brauer, Uwe, Karp, Lavi
We prove a local in time existence and uniqueness theorem of classical solutions of the coupled Einstein{Euler system, and therefore establish the well posedness of this system. We use the condition that the energy density might vanish or tends to ze
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/3034/
Autor:
Brauer, Uwe, Karp, Lavi
We prove the existence of a class of local in time solutions, including static solutions, of the Einstein-Euler system. This result is the relativistic generalisation of a similar result for the Euler-Poisson system obtained by Gamblin [8]. As in his
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/3017/
Autor:
Brauer, Uwe, Karp, Lavi
This paper deals with the applications of weighted Besov spaces to elliptic equations on asymptotically flat Riemannian manifolds, and in particular to the solutions of Einstein's constraints equations. We establish existence theorems for the Hamilto
Externí odkaz:
http://arxiv.org/abs/1209.2642
Autor:
Brauer, Uwe, Karp, Lavi
This paper deals with the evolution of the Einstein gravitational fields which are coupled to a perfect fluid. We consider the Einstein--Euler system in asymptotically flat spacestimes and therefore use the condition that the energy density might van
Externí odkaz:
http://arxiv.org/abs/1112.2405
Autor:
Brauer, Uwe, Karp, Lavi
We prove a local in time existence and uniqueness theorem of classical solutions of the coupled Einstein--Euler system, and therefore establish the well posedness of this system. We use the condition that the energy density might vanish or tends to z
Externí odkaz:
http://arxiv.org/abs/0810.5045
Autor:
Brauer, Uwe, Karp, Lavi
Publikováno v:
In Journal of Differential Equations 15 January 2018 264(2):755-785
