Sound propagation in a two-parameter model derived from the Kac-Boltzmann equation

DOI10.1515/jnet.1985.10.4.305zbMath0592.76111OpenAlexW1994531737MaRDI QIDQ1075886

D. Rupp, G. Dukek, Theo F. Nonnenmacher

Publication date: 1985

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1985.10.4.305

zbMATH Keywords

constitutive equationsnonlinearnonequilibrium processcontinued fraction methodtransport operatornonlinear collision integralBGK-modelbifurcation propertiesdispersion relation for sound and heat modesgeneralization of the one-parameter Uhlenbeck-Ford modellinearized Kac-Boltzmann equationpropagation of disturbances in gaseous or fluid mediatwo nonzero eigenvalues

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• Derivation of exact nonlinear constitutive equations: A simple model for a nonlinear diffusion theory
• On the derivation of second order hydrodynamic equations
• Kinetic Models and the Linearized Boltzmann Equation
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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