The diffusive limit of Boltzmann equation in torus

DOI10.1088/1361-6544/ad4502zbMATH Open1542.35276MaRDI QIDQ6557870

Zheng-Rong Liu, Hongjun Yu

Publication date: 18 June 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

global existencetime decay ratesincompressible Navier-Stokes-Fourier limit\(L^2-L^\infty\) methodrescaled Boltzmann system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) 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) Diffusive and convective heat and mass transfer, heat flow (80A19)

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