Similarity analysis and exact solutions for a general discrete two- velocity model of Boltzmann equation

DOI10.1007/BF01560118zbMath0621.76084MaRDI QIDQ1090556

Carmela Currò, Francesco Olivieri

Publication date: 1987

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

Lie groupsBoltzmann equationexact solutionssimilarity analysisquadratic collision termdiscrete two-velocity modelgroups of invarianceMcKean models

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Applications of Lie groups to the sciences; explicit representations (22E70) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

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Cites Work

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• Application of the similarity method to the nonlinear Boltzmann equation
• Loeb solutions of the Boltzmann equation
• New classes of similarity solutions for the nonlinear Carleman-Boltzmann equation
• Similarity methods for differential equations
• Nonlinear partial differential equations in engineering. Vol. II
• Some classes of exact solutions of the nonlinear Boltzmann equation
• Global existence for two‐velocity models of the Boltzmann equation
• Two classes of explicit solutions of the carleman model
• An exponential formula for solving Boltzmann's equation for a Maxwellian gas
• Shock Structure in a Simple Discrete Velocity Gas

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