The discrete model of the Boltzmann equation

DOI10.1080/00411458708204316zbMath0624.76102OpenAlexW2133884518MaRDI QIDQ3026636

Henri Cabannes

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00411458708204316

zbMATH Keywords

Euler equationsBoltzmann equationbinary collisionsevolution of densitiesdiscrete distribution of velocitiesH-Boltzmann functionmodel of a gasshock equationssystem of p first order partial differential equations

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

Normal, high order discrete velocity models of the Boltzmann equation

Cites Work

• Unnamed Item
• Solution globale de l'équation de Boltzmann discrète pour les modèles spatiaux réguliers à 12 où à 20 vitesses (Global solution of the discrete Boltzmann equation for regular models with 12 or 20 velocities)
• Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation
• On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas
• On the Carleman's model for the Boltzmann equation and its generalizations
• The decay of solutions of the Carleman model
• Kinetic theory for a discrete velocity gas and application to the shock structure
• On the Broadwell's model for a simple discrete velocity gas
• Couette flow for a gas with a discrete velocity distribution
• Kinetic theory boundary conditions for discrete velocity gases
• Study of rarefied shear flow by the discrete velocity method
• Proof that Successive Derivatives of Boltzmann's H Function for a Discrete Velocity Gas Alternate in Sign
• Shock Structure in a Simple Discrete Velocity Gas

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