A cluster expansion approach to a one-dimensional Boltzmann equation: A validity result

DOI10.1007/BF02099889zbMath0811.60099MaRDI QIDQ1344271

Silvia Caprino, Mario Pulvirenti

Publication date: 19 April 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationstochastic particle system

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (11)

Kinetic limits for a class of interacting particle systems ⋮ The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state ⋮ Propagation of chaos for particle systems associated with discrete Boltzmann equation ⋮ Analytic dynamics of a one-dimensional system of particles with strong interaction ⋮ Unnamed Item ⋮ Equilibrium fluctuations for the discrete Boltzmann equation ⋮ Asymptotic expansion of the mean-field approximation ⋮ Stochastic approximations of the solution of a full Boltzmann equation with small initial data ⋮ On the size of chaos in the mean field dynamics ⋮ Large deviations from a kinetic limit ⋮ Dynamical clusters of infinite particle dynamics

Cites Work

• A derivation of the Broadwell equation
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result
• Time evolution of large classical systems

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