Global weak solutions to the Nordstr\"om-Vlasov system
Mathematical Physics
2007-05-23 v2 General Relativity and Quantum Cosmology
Analysis of PDEs
math.MP
Abstract
The Nordstr\"om-Vlasov system is a Lorentz invariant model for a self-gravitating collisionless gas. We establish suitable a-priori-bounds on the solutions of this system, which together with energy estimates and the smoothing effect of ``momentum averaging'' yield the existence of global weak solutions to the corresponding initial value problem. In the process we improve the continuation criterion for classical solutions which was derived recently. The weak solutions are shown to preserve mass.
Keywords
Cite
@article{arxiv.math-ph/0309046,
title = {Global weak solutions to the Nordstr\"om-Vlasov system},
author = {Simone Calogero and Gerhard Rein},
journal= {arXiv preprint arXiv:math-ph/0309046},
year = {2007}
}
Comments
15 pages, LaTeX