Cauchy problem for the ellipsoidal BGK model for polyatomic particles

DOI10.1016/j.jde.2018.12.013zbMath1420.35175arXiv1708.02461OpenAlexW2964200260WikidataQ128787755 ScholiaQ128787755MaRDI QIDQ1732152

Seok-Bae Yun, Sa Jun Park

Publication date: 22 March 2019

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

Full work available at URL: https://arxiv.org/abs/1708.02461

zbMATH Keywords

polyatomic gasesCauchy problemBoltzmann equationBGK modelkinetic theory of gasesellipsoidal BGK model

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) 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 ⋮ Entropy production estimate for the ES-BGK model with the correct Prandtl number ⋮ Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules ⋮ 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 ⋮ Ellipsoidal BGK model for polyatomic molecules near Maxwellians: a dichotomy in the dissipation estimate ⋮ Ellipsoidal BGK model near a global Maxwellian in the whole space ⋮ Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit ⋮ The Shakhov model near a global Maxwellian

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