On the Master‐Equation Approach to Kinetic Theory: Linear and Nonlinear Fokker‐Planck Equations

DOI10.1081/TT-200053929zbMath1072.82024arXivmath-ph/0401027OpenAlexW1983501995MaRDI QIDQ5462780

Carlo Lancellotti, Michael Karl-Heinz Kiessling

Publication date: 27 July 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0401027

zbMATH Keywords

Fokker-Planck equationkinetic theoryLandau equationpropagation of chaos

Mathematics Subject Classification ID

Quantum chaos (81Q50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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Cites Work

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• Sobolev spaces on Riemannian manifolds
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• Determination of the spectral gap for Kac's master equation and related stochastic evolution.
• Sur la theorie moleculaire du mouvement brownien
• Fokker-Planck Equation for an Inverse-Square Force
• Local existence of classical solutions to the Landau equations

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