Stationary and static stellar dynamic models with axial symmetry

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dc.creatorRein, Gerhard
dc.date1998-06-10
dc.date.accessioned2026-07-07T04:32:25Z
dc.date.available2026-07-07T04:32:25Z
dc.descriptionWe study the existence of stationary solutions of the Vlasov-Poisson system with finite radius and finite mass in the stellar dynamics case. So far, the existence of such solutions is known only under the assumption of spherical symmetry. Using the implicit function theorem we show that certain stationary, spherically symmetric solutions can be embedded in one parameter families of stationary, axially symmetric solutions with finite radius and finite mass. In general, these new steady states have non-vanishing average velocity field, but they can also be constructed such that their velocity field does vanish, in which case they are called static.
dc.description38 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/9806005
dc.identifierhttp://arxiv.org/abs/math-ph/9806005
dc.identifierNonlinear Analysis 41, 313 - 344 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58185
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35Q99; 85A05; 85A15
dc.titleStationary and static stellar dynamic models with axial symmetry
dc.typetext

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