Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian

DOI10.1063/1.528522zbMath0698.76086OpenAlexW2035241606MaRDI QIDQ3476494

Andrzej Palczewski, Giuseppe Toscani

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528522

zbMATH Keywords

Boltzmann equationhard potentialslocal Maxwellianglobal existence theorem

Mathematics Subject Classification ID

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

Related Items (7)

Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section ⋮ Global well-posedness of a binary-ternary Boltzmann equation ⋮ Distributional solutions of the Boltzmann equation with infinite energy ⋮ \(L^p\)-estimates of the Boltzmann equation around a traveling local Maxwellian ⋮ Uniform \(L^{1}\)-stability estimate of the Boltzmann equation near a local Maxwellian ⋮ Eternal solutions of the Boltzmann equation near travelling Maxwellians ⋮ Global existence to Boltzmann equation with external force in infinite vacuum

Cites Work

• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian
• The Boltzmann equation. I. Uniqueness and local existence

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