On the initial value problem for the Boltzmann equation with a force term

DOI10.1080/00411458908214500zbMath0699.35237OpenAlexW2037160206MaRDI QIDQ3477385

Mirosław Lachowicz, Andrzej Palczewski, Giuseppe Toscani, Nicola Bellomo

Publication date: 1989

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458908214500

zbMATH Keywords

initial value problemglobal existencenonlinear Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.
• On the asymptotic equivalence between the Enskog and the Boltzmann equations.
• On the nonlinear Boltzmann equation with force term
• Global solutions to a mixed problem fop the Boltzmann equation with Lorentz force term
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability