The non-relativistic limit of the Nordström-Vlasov system

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dc.creatorCalogero, Simone
dc.creatorLee, Hayoung
dc.date2003-09-12
dc.date2004-01-14
dc.date.accessioned2026-07-07T04:30:33Z
dc.date.available2026-07-07T04:30:33Z
dc.descriptionThe Nordström-Vlasov system provides an interesting relativistic generalization of the Vlasov-Poisson system in the gravitational case, even though there is no direct physical application. The study of this model will probably lead to a better mathematical understanding of the class of non-linear systems consisting of hyperbolic and transport equations. In this paper it is shown that solutions of the Nordström-Vlasov system converge to solutions of the Vlasov-Poisson system in a pointwise sense as the speed of light tends to infinity, providing a further and rigorous justification of this model as a \textit{genuine} relativistic generalization of the Vlasov-Poisson system.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0309030
dc.identifierhttp://arxiv.org/abs/math-ph/0309030
dc.identifierComm. Math. Sci. 2 (2004) 19-34
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57499
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAnalysis of PDEs
dc.titleThe non-relativistic limit of the Nordström-Vlasov system
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