Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation

Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation

Ellipsoidal BGK model (ES-BGK) is a generalized version of the original BGK model designed to reproduce the physically correct Prandtl number in the Navier-Stokes limit. In this paper, we study the Cauchy problem for the ES-BGK model under the condition of finite initial mass, energy, and entropy. E...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical physics 2016-08, Vol.57 (8), p.1
Hauptverfasser: Park, Sa Jun, Yun, Seok-Bae
Format: Artikel
Sprache:eng
Schlagworte:
BGK model
Boltzmann transport equation
Cauchy problems
Computational fluid dynamics
Navier-Stokes equations
Physics
Prandtl number
Temperature
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Ellipsoidal BGK model (ES-BGK) is a generalized version of the original BGK model designed to reproduce the physically correct Prandtl number in the Navier-Stokes limit. In this paper, we study the Cauchy problem for the ES-BGK model under the condition of finite initial mass, energy, and entropy. Equivalence type estimates for the temperature tensor are crucially used.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4960745