Orbital stability and singularity formation for Vlasov-Poisson systems

DOI10.1016/j.crma.2005.06.018zbMath1073.70012OpenAlexW1979837045MaRDI QIDQ2565520

Pierre Raphaël, Mohammed Lemou, Florian Méhats

Publication date: 27 September 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.06.018

zbMATH Keywords

Gagliardo-Nirenberg inequalityconcentration compactness techniquesenergy space of polytopes

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) Stability for nonlinear problems in mechanics (70K20) Statistical mechanics of plasmas (82D10) Partial differential equations of mathematical physics and other areas of application (35Q99) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Boundary value problems for linear first-order PDEs (35F15)

Related Items (10)

On uniformly rotating binary stars and galaxies ⋮ Relative equilibria in continuous stellar dynamics ⋮ A new variational approach to the stability of gravitational systems ⋮ Orbital stability of spherical galactic models ⋮ Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system ⋮ A non-variational approach to nonlinear stability in stellar dynamics applied to the King model ⋮ Localized minimizers of flat rotating gravitational systems ⋮ The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system ⋮ Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data ⋮ Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation

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