Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation

DOI10.5802/slsedp.14zbMath1319.35266OpenAlexW2566188676MaRDI QIDQ2354246

Mohammed Lemou

Publication date: 10 July 2015

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=SLSEDP_2011-2012____A18_0/

Mathematics Subject Classification ID

Galactic and stellar dynamics (85A05) Orbital mechanics (70M20) Vlasov equations (35Q83) PDEs in connection with astronomy and astrophysics (35Q85)

Cites Work

• Some considerations on the nonlinear stability of stationary planar Euler flows
• Orbital stability of spherical galactic models
• On Landau damping
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Orbital stability for polytropic galaxies
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Unstable and stable galaxy models
• The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system
• Nonlinear stability of circular vortex patches
• Stationary spherically symmetric models in stellar dynamics
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• On nonlinear stability of polytropic galaxies
• Stable steady states in stellar dynamics
• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case
• Steady states in galactic dynamics
• Variational method for stable polytropic galaxies
• A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Orbital stability and singularity formation for Vlasov-Poisson systems
• An existence theorem for the unmodified Vlasov Equation
• Weak solutions of the initial value problem for the unmodified non‐linear vlasov equation
• Landau damping
• Stable Ground States for the Relativistic Gravitational Vlasov–Poisson System
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• A note on the nonlinear stability of a spatially symmetric vlasov‐possion flow
• Relaxation of collisionless self-gravitating matter: the lowest energy state
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• On the lowest energy state of a collisionless self-gravitating system under phase space volume constraints
• A new variational approach to the stability of gravitational systems
• A new variational approach to the stability of gravitational systems
• Isotropic steady states in galactic dynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation