Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation

DOI10.1142/S0218202517500440zbMath1377.35212arXiv1611.05242OpenAlexW2553606263MaRDI QIDQ4588315

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Publication date: 2 November 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05242

zbMATH Keywords

viscous heating\(L^2-L^\infty\) approachincompressible Navier-Stokes-Fourier systemsuper-Burnett functions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Boltzmann equations (35Q20)

Related Items (2)

Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space

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