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

Sa Jun Park; Seok Bae Yun

doi:10.1063/1.4960745

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

Sa Jun Park, Seok Bae Yun

Department of Mathematics

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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. Published by AIP Publishing.

Original language	English
Article number	081512
Journal	Journal of Mathematical Physics
Volume	57
Issue number	8
DOIs	https://doi.org/10.1063/1.4960745
State	Published - 1 Aug 2016

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abstract = "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. Published by AIP Publishing.",

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AU - Yun, Seok Bae

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N2 - 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. Published by AIP Publishing.

AB - 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. Published by AIP Publishing.

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VL - 57

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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

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