Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential

DOI10.1134/S1064562421050136zbMath1487.81139OpenAlexW4210277270MaRDI QIDQ2116719

Yanyan Li

Publication date: 18 March 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421050136

zbMATH Keywords

nonlinear stabilityenergy-Casimir methodLennard-Jones type potential

Mathematics Subject Classification ID

Molecular physics (81V55) Collisions in celestial mechanics, regularization (70F16) Casimir effect in quantum field theory (81T55) Computational density functional analysis in statistical mechanics (82M36)

Cites Work

• Jacobi stability of a many-body system with modified potential
• Nonlinear stability of fluid and plasma equilibria
• Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals
• The generalized Vlasov kinetic equation
• Stability of disk-like galaxies – Part I: Stability via reduction
• Variational principle for three-dimensional steady-state flows of an ideal fluid
• Isotropic steady states in galactic dynamics
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