Lie group analysis for a multispecies, spatially inhomogeneous, mutually interacting gas mixture

DOI10.1080/00411459208203525zbMath0756.76065OpenAlexW2032996924WikidataQ115306507 ScholiaQ115306507MaRDI QIDQ3977912

J. Mandrekas, Y. Y. Azmy, Vladimir A. Protopopescu, Vinicio C. Boffi

Publication date: 12 August 1992

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

Full work available at URL: https://doi.org/10.1080/00411459208203525

zbMATH Keywords

invariance groupextended kinetic theoryLotka-Volterra interactionthree-parameter group of transformations

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Reaction effects in flows (76V05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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On group invariant solutions of the Boltzmann equation

Cites Work

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• New classes of similarity solutions for the nonlinear Carleman-Boltzmann equation
• Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model