3 citations · 5 across the 11 of their papers we have counts for
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Global existence of the irrotational Euler-Nordström equations with a positive cosmological constant: The gravitational field equation
Uwe Brauer, Lavi Karp
Our aim is to establish the global existence of classical solutions to the nonlinear irrotational Euler--Nordström system, which incorporates a linear equation of state and a cosmo…
Global existence of a nonlinear wave equation arising from Nordström's theory of gravitation
Uwe Brauer, Lavi Karp
We show global existence of classical solutions for the nonlinear Nordström theory with a source term and a cosmological constant under the assumption that the source term is small…
Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler--Poisson system
Uwe Brauer, Lavi Karp
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 space…
Local existence of solutions to the Euler-Poisson system, including densities without compact support
Uwe Brauer, Lavi Karp
Local existence and well posedness for a class of solutions for the Euler Poisson system is shown. These solutions have a density which either falls off at infinity or has comp…
Elliptic Equations in Weighted Besov Spaces on Asymptotically Flat Riemannian Manifolds
Uwe Brauer, Lavi Karp
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…
Local Existence of Solutions of Self Gravitating Relativistic Perfect Fluids
Uwe Brauer, Lavi Karp
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 spacest…