Perturbative theory for the Boltzmann equation in bounded domains with different boundary conditions
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Publication:728198
DOI10.3934/krm.2017014zbMath1352.35087arXiv1507.03153OpenAlexW3104590316MaRDI QIDQ728198
Publication date: 19 December 2016
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.03153
Boltzmann equationperturbative theoryMaxwellian diffusion boundary conditionsspecular reflection boundary conditionsexponential trend to equilibrium
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Perturbations in context of PDEs (35B20) Boltzmann equations (35Q20)
Related Items (9)
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions ⋮ Asymptotic stability of the Boltzmann equation with Maxwell boundary conditions ⋮ The Boltzmann equation for a multi-species mixture close to global equilibrium ⋮ On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition ⋮ Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions ⋮ Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains ⋮ The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation
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