Diffusive expansion for solutions of the Boltzmann equation in the whole space

DOI10.1016/j.jde.2010.07.024zbMath1241.35142OpenAlexW1968312775MaRDI QIDQ619863

Huijiang Zhao, Shuangqian Liu

Publication date: 18 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.07.024

zbMATH Keywords

Cauchy problemRiesz potentialdiffusive expansionNavier-Stokes-Fourier systems

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic systems (35K45) Boltzmann equations (35Q20)

Related Items (9)

Optimal time decay of the Boltzmann system for gas mixtures ⋮ Stability of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ The Vlasov-Poisson-Boltzmann system without angular cutoff ⋮ Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation ⋮ Optimal time decay of the quantum Landau equation in the whole space ⋮ Exponential decay of the Landau equation with potential forces ⋮ Compressible Navier-Stokes approximation to the Boltzmann equation ⋮ Justification of limit for the Boltzmann equation related to Korteweg theory ⋮ Diffusive Limit of the Boltzmann Equation with Fluid Initial Layer in the Periodic Domain

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