Survey of initial value problem for the discrete Boltzmann equation

DOI10.1007/BF02925441zbMath0809.45007MaRDI QIDQ4314711

Henri Cabannes

Publication date: 19 February 1995

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationinitial value problemkinetic theory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• Large-time behavior of the Broadwell model of a discrete velocity gas
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• Large-time behavior of discrete velocity Boltzmann equations
• Exact solutions of the Broadwell model in 1+1 dimensions
• The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem
• Eestence Globale à Donné de Cauchy Petites pour les modéles discrets de ―équation de Boltzmann
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• On the Broadwell's model for a simple discrete velocity gas
• Solution of a discrete Boltzmann equation with triples collisions, for partially negative initial data
• Study of rarefied shear flow by the discrete velocity method
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