Global weak solutions to the Nordström-Vlasov system

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dc.creatorCalogero, Simone
dc.creatorRein, Gerhard
dc.date2003-09-18
dc.date2004-07-09
dc.date.accessioned2026-07-07T04:30:34Z
dc.date.available2026-07-07T04:30:34Z
dc.descriptionThe Nordström-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.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0309046
dc.identifierhttp://arxiv.org/abs/math-ph/0309046
dc.identifierJ. Differential Equations, Vol. 204/2, 323-338 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57506
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAnalysis of PDEs
dc.subject35Q75; 83D05
dc.titleGlobal weak solutions to the Nordström-Vlasov system
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