Global Existence of Classical Solutions to the Boltzmann Equation with External Force for Hard Potentials

DOI10.1093/IMRN/RNN112zbMath1161.76052OpenAlexW2142899320MaRDI QIDQ3530018

Hongjun Yu, Fu-Cai Li

Publication date: 15 October 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnn112

zbMATH Keywords

kinetic modelsBoltzmann-like equationsBoltzmann equation with hard potentialsglobal solutions near equilibrium

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (3)

Stability of the equilibrium to the Boltzmann equation with large potential force ⋮ Global stability of Boltzmann equation with large external potential for a class of large oscillation data ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations

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