Hyperbolic versus Parabolic Asymptotics in Kinetic Theory toward Fluid Dynamic Models

DOI10.1137/120869729zbMath1295.35351OpenAlexW2094205304MaRDI QIDQ2862268

Juan Soler, Abdelghani Bellouquid, Juan G. Calvo, Juanjo Nieto

Publication date: 14 November 2013

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120869729

zbMATH Keywords

Boltzmann equationChapman-Enskog expansionhyperbolic limitVlasov-Poisson-Fokker-Planck systemKac model, kinetic theory

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Partial differential equations of mathematical physics and other areas of application (35Q99) Statistical mechanics of gases (82D05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Vlasov equations (35Q83) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

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