Existence and stability of static shells for the Vlasov–Poisson system with a fixed central point mass

DOI10.1017/S0305004108001916zbMath1177.35033arXiv0803.1775MaRDI QIDQ3616245

Achim Schulze

Publication date: 24 March 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1775

zbMATH Keywords

variational approachglobal existencespherical symmetryclassical solutionsexterior potentialshell-like initial data

Mathematics Subject Classification ID

Black holes (83C57) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Galactic and stellar dynamics (85A05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review

Cites Work

• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
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• Variational method for stable polytropic galaxies
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• On the classical solutions of the initial value problem for the unmodified non‐linear vlasov equation II special cases
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• Static shells for the Vlasov-Poisson and Vlasov-Einstein systems
• Existence and stability of Camm type steady states in galactic dynamics
• Existence and stability of static shells for the Vlasov–Poisson system
• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system
• Isotropic steady states in galactic dynamics

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