Weak solutions of the Boltzmann equation and energy conservation

DOI10.1016/0893-9659(95)00011-EzbMath0830.35107MaRDI QIDQ1893690

Carlo Cercignani

Publication date: 20 July 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

energy conservationkinetic theoryBoltzmann equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Transport processes in time-dependent statistical mechanics (82C70)

Related Items

Errata: Weak solutions of the Boltzmann equation and energy conservation, Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions, Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations, Weak solutions of the Boltzmann equation without angle cutoff, Existence and trend to equilibrium of weak solutions of the boltzmann equation, Strong solutions of the Boltzmann equation in one spatial dimension, Virial estimates for hard spheres, Global weak solutions of the Boltzmann equation, Trend to equilibrium of weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions.

Cites Work

• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• 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)
• Large-time behavior of discrete velocity Boltzmann equations
• Regularity of the moments of the solution of a transport equation
• Existence theorems for certain kinetic equations and large data
• A remarkable estimate for the solutions of the Boltzmann equation
• The Boltzmann equation and its applications
• Global existence of solutions for a model Boltzmann equation
• On the Broadwell's model for a simple discrete velocity gas
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