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An introduction to kinetic equations: The Vlasov-Poisson system and the Boltzmann equation

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Publication:1599899
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DOI10.3934/dcds.2002.8.361zbMath0996.82002OpenAlexW1986575244MaRDI QIDQ1599899

Jean Dolbeault

Publication date: 6 June 2002

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.361


zbMATH Keywords

Boltzmann equationkinetic equationsintroductory reviewVlasov-Poisson system


Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics (82-01)


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Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system ⋮ Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system ⋮ DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM



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