Orbital stability for polytropic galaxies

DOI10.1016/j.anihpc.2006.02.001zbMath1110.35011OpenAlexW2092676236MaRDI QIDQ873631

Juan Soler, Óscar Sánchez

Publication date: 29 March 2007

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_6_781_0

zbMATH Keywords

stellar dynamicsGalilean invarianceVlasov-Poisson systemconcentration compactnessdirect variational methodspolytropic gas spheres

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Variational methods for second-order elliptic equations (35J20) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (17)

Relative equilibria in continuous stellar dynamics ⋮ Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review ⋮ Small data solutions for the Vlasov-Poisson system with a repulsive potential ⋮ Thermal effects in gravitational Hartree systems ⋮ Remarks on the stability of the frictionless Vlasov-Poisson-Fokker-Planck system ⋮ Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation ⋮ A new variational approach to the stability of gravitational systems ⋮ Orbital stability of spherical galactic models ⋮ 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 ⋮ A new variational approach to the stability of gravitational systems ⋮ Stable Ground States for the Relativistic Gravitational Vlasov–Poisson System ⋮ Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity ⋮ Orbital stability and singularity formation for Vlasov-Poisson systems ⋮ Flat galaxies with dark matter halos --- existence and stability ⋮ Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation

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