On Dispersion Rates for Solutions to the Vlasov-Poisson System

DOI10.1080/00411450.2011.651031zbMath1264.82113OpenAlexW2084596644MaRDI QIDQ4906395

Juan G. Calvo

Publication date: 11 February 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450.2011.651031

zbMATH Keywords

solutionzero energydispersion equationstellar dynamicsVlasov-Poisson equationsgasparticles velocitytrapped systems

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Galactic and stellar dynamics (85A05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Vlasov equations (35Q83)

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Dispersive behavior in galactic 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
• Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case
• Remarks on collisionless plasmas
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• A global particular solution to the initial-value problems of stellar dynamics
• Time decy, propagarion of low moments and dispersive
• Isotropic steady states in galactic dynamics

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