Global weak solutions to the Nordström-Vlasov system

Details Global weak solutions to the Nordström-Vlasov system Global weak solutions to the Nordström-Vlasov system

2003-09-18

arxiv.org/abs/math-ph/0309046v2

J. Differential Equations, Vol. 204/2, 323-338 (2004)

Physics

Mathematical Physics

15 pages, LaTeX

Scientific paper

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.

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