Stationary solutions for the ellipsoidal BGK model in a slab

DOI10.1016/j.jde.2016.08.022zbMath1351.35098arXiv1708.02164OpenAlexW2962964439MaRDI QIDQ324585

Seok-Bae Yun, Jeaheang Bang

Publication date: 17 October 2016

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

Full work available at URL: https://arxiv.org/abs/1708.02164

zbMATH Keywords

Boltzmann equationkinetic theory of gasesellipsoidal BGK modelboundary value problem in a slabinflow boundary conditions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary value problems for nonlinear first-order PDEs (35F30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Related Items (11)

A BGK kinetic model with local velocity alignment forces ⋮ Cauchy problem for the ES-BGK model with the correct Prandtl number ⋮ Entropy production estimate for the ES-BGK model with the correct Prandtl number ⋮ Global existence and long time behavior of the ellipsoidal-statistical-Fokker-Planck model for diatomic gases ⋮ The ES-BGK for the polyatomic molecules with infinite energy ⋮ Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces ⋮ Strong solutions to the inhomogeneous Navier-Stokes-BGK system ⋮ Cauchy problem for the ellipsoidal BGK model for polyatomic particles ⋮ Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval ⋮ Stationary BGK models for chemically reacting gas in a slab ⋮ Stationary quantum BGK model for bosons and fermions in a bounded interval

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