Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum

DOI10.1007/BF01221398zbMath0665.76088MaRDI QIDQ1116840

Mario Pulvirenti

Publication date: 1987

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

zbMATH Keywords

Boltzmann equationBoltzmann-Grad limitjoint distribution densitiestime evolved one- particle distribution converges

Mathematics Subject Classification ID

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

Related Items (13)

Kinetic limits for a class of interacting particle systems ⋮ Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas ⋮ Propagation of chaos for particle systems associated with discrete Boltzmann equation ⋮ On the number of collisions in a hard sphere particle system in all space ⋮ About Lanford's theorem in the half-space with specular reflection ⋮ Small data existence for the Enskog equation in \(L^ 1\). ⋮ Equilibrium fluctuations for the discrete Boltzmann equation ⋮ Boltzmann-Grad limits for stochastic hard sphere models ⋮ Modelling opinion formation by means of kinetic equations ⋮ Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result ⋮ From stochastic mechanics to the discrete Boltzmann equation: The Broadwell model ⋮ KINETIC LIMITS FOR PAIR-INTERACTION DRIVEN MASTER EQUATIONS AND BIOLOGICAL SWARM MODELS ⋮ On the mean free path for a periodic array of spherical obstacles.

Cites Work

• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• A derivation of the BBGKY-hierarchy for hard sphere particle systems
• Local validity of the boltzmann equation

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