Asymptotic analysis and reaction-diffusion approximation for \(BGK\) kinetic models of chemical processes in multispecies gas mixtures

DOI10.1007/BF00942811zbMath0784.76108OpenAlexW1992243354MaRDI QIDQ1309433

Renato Spigler, Damián H. Zanette

Publication date: 16 January 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00942811

zbMATH Keywords

small parametermacroscopic equationstransport processesSelkov modelFokker-Planck-type equationKramers-Smoluchowski limit

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Reaction effects in flows (76V05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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Cites Work

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• The Boltzmann equation and its applications
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• A BGK MODEL FOR CHEMICAL PROCESSES: THE REACTION-DIFFUSION APPROXIMATION
• On the perturbation of maxwell distribution function by chemical reactions in gases