Stability criterion of spatially inhomogeneous solutions to the Vlasov equation

DOI10.1088/1751-8121/aa8dbbzbMath1386.82054OpenAlexW2754961445MaRDI QIDQ4596385

Shun Ogawa

Publication date: 1 December 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/aa8dbb

zbMATH Keywords

Vlasov equationlong-range interactionquasistationary stateslinearized Vlasov equationformal stability

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear stability criteria for the HMF model
• Existence of quasi-stationary states at the long range threshold
• Orbital stability of spherical galactic models
• On Landau damping
• Long-time estimates in the mean-field limit
• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• Vlasov equations
• Quasi-stationary states for particle systems in the mean-field limit
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Nonlinear stability of fluid and plasma equilibria
• On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces
• Physics of Long-Range Interacting Systems
• Algebraic damping in the one-dimensional Vlasov equation
• Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma
• Landau damping
• Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows