On Vlasov-Manev equations. II: Local existence and uniqueness

DOI10.1023/A:1023029711405zbMath0938.45008OpenAlexW169998320MaRDI QIDQ1284913

Alexander V. Bobylev, Reinhard Illner, Harold Dean jun. Victory, Peter J. Dukes

Publication date: 28 June 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023029711405

zbMATH Keywords

initial value problemCoulomb potentialkinetic equationsNewton potentialstellar dynamic equationVlasov equation with Manev correctionVlasov-Manev system

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Galactic and stellar dynamics (85A05)

Related Items (7)

Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions ⋮ On well-posedness and singularity formation for the Euler-Riesz system ⋮ Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system ⋮ Local well-posedness for a class of singular Vlasov equations ⋮ Modulated Energy Estimates for Singular Kernels and their Applications to Asymptotic Analyses for Kinetic Equations ⋮ Many-body problem with quadratic and/or inversely-quadratic potentials in one- and more-dimensional spaces: some retrospective remarks ⋮ The microscopic foundations of Vlasov theory for jellium-like Newtonian \(N\)-body systems

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