Diffusive Limit of the Boltzmann Equation with Fluid Initial Layer in the Periodic Domain

DOI10.1137/130922239zbMath1321.35124OpenAlexW1524912669MaRDI QIDQ5254867

Ning Jiang, Linjie Xiong

Publication date: 10 June 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130922239

zbMATH Keywords

Boltzmann equationNavier-Stokes equationhydrodynamic limitcollision integral

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Nonlinear first-order PDEs (35F20) Asymptotic expansions of solutions to PDEs (35C20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (10)

From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions ⋮ Regularization estimates and hydrodynamical limit for the Landau equation ⋮ A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters ⋮ Global renormalized solutions and Navier-Stokes limit of the Boltzmann equation with incoming boundary condition for long range interaction ⋮ Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions ⋮ Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force ⋮ The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation ⋮ Coupled self-organized hydrodynamics and Navier-Stokes models: local well-posedness and the limit from the self-organized kinetic-fluid models ⋮ Justification of limit for the Boltzmann equation related to Korteweg theory ⋮ Hydrodynamic Limits of the Kinetic Self-Organized Models

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