On the relativistic Vlasov-Poisson system

dc.creatorKiessling, Michael K. -H.
dc.creatorTahvildar-Zadeh, A. Shadi
dc.date2007-08-13
dc.date2009-02-06
dc.date.accessioned2026-07-07T12:38:01Z
dc.date.available2026-07-07T12:38:01Z
dc.descriptionThe Cauchy problem is revisited for the so-called relativistic Vlasov-Poisson system in the attractive case. Global existence and uniqueness of spherical classical solutions is proved under weaker assumptions than previously used. A new class of blowing up solutions is found when these conditions are violated. A new, non-gravitational physical vindication of the model which (unlike the gravitational one) is not restricted to weak fields, is also given.
dc.descriptionPreprint of published version. Several typos in the previous version have been corrected
dc.identifierhttps://arxiv.org/abs/0708.1760
dc.identifierhttp://arxiv.org/abs/0708.1760
dc.identifierIndiana Univ. Math. J. vol. 57, pp. 3177-3207 (2009)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218612
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleOn the relativistic Vlasov-Poisson system
dc.typetext

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