The Boltzmann equation with an external force on the torus: incompressible Navier-Stokes-Fourier hydrodynamical limit

DOI10.2140/paa.2022.4.597OpenAlexW2948213916MaRDI QIDQ2688182

Marc Briant, Arnaud Debussche, Julien Vovelle

Publication date: 2 March 2023

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

Full work available at URL: https://arxiv.org/abs/1906.02960

zbMATH Keywords

hydrodynamical limitincompressible Navier-Stokes equationhypocoercivityKnudsen numberBoltzmann equation with external force

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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