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Global classical solutions to the Boltzmann equation with external force

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Publication:1041696
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DOI10.3934/cpaa.2009.8.1647zbMath1180.82153OpenAlexW2022117355MaRDI QIDQ1041696

Hongjun Yu

Publication date: 4 December 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1647


zbMATH Keywords

energy estimatesglobal classical solutionthe optimal time decay rate


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)


Related Items (4)

Stability of the equilibrium to the Boltzmann equation with large potential force ⋮ Boltzmann Equation with a Large Potential in a Periodic Box ⋮ 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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