Solutions of the Boltzmann equation with infinite energy: existence, stability and long time behavior

DOI10.1016/j.jmaa.2008.05.093zbMath1149.35324OpenAlexW1967797942MaRDI QIDQ936566

Shigeng Hu, Xian-Wen Zhang

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.093

zbMATH Keywords

stabilityBoltzmann equationnonlinear Boltzmann equationlong time behaviorsolutions with infinite energyupper Maxwellian bound

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (1)

Global well-posedness of a binary-ternary Boltzmann equation

Cites Work

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• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• On the nonlinear Boltzmann equation in unbounded domains
• The Boltzmann equation and its applications
• The Boltzmann equation. I. Uniqueness and local existence
• Boltzmann Equation with Infinite Energy: Renormalized Solutions and Distributional Solutions for Small Initial Data and Initial Data Close to a Maxwellian
• Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

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