Ellipsoidal BGK model near a global Maxwellian in the whole space

Ellipsoidal BGK model near a global Maxwellian in the whole space

Ellipsoidal BGK model (ES-BGfK model) is a model equation for the Boltzmann equation designed to give correct a Prandtl number in the Navier-Stokes limit. In this paper, we consider the existence of classical solutions and their asymptotic behavior for the ellipsoidal BGK model in the whole space wh...

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Veröffentlicht in:Journal of mathematical physics 2019-07, Vol.60 (7)
Hauptverfasser: Hwang, Byung-Hoon, Yun, Seok-Bae
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
BGK model
Boltzmann transport equation
Computational fluid dynamics
Perturbation
Physics
Prandtl number
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Zusammenfassung:Ellipsoidal BGK model (ES-BGfK model) is a model equation for the Boltzmann equation designed to give correct a Prandtl number in the Navier-Stokes limit. In this paper, we consider the existence of classical solutions and their asymptotic behavior for the ellipsoidal BGK model in the whole space when the initial data is a small perturbation of a global Maxwellian.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5017899