ENTROPY PRODUCTION FOR ELLIPSOIDAL BGK MODEL OF THE BOLTZMANN EQUATION

被引：17
作者：
Yun, Seok-Bae [1 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源：
KINETIC AND RELATED MODELS | 2016年 / 9卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Kinetic theory of gases; BGK model; ellipsoidal BGK model; Boltzmann equation; entropy production; GLOBAL EXISTENCE; KINETIC-EQUATIONS; CAUCHY-PROBLEM; GAS; DISSIPATION; CONVERGENCE; SCHEME; BOUNDS; LIMIT; FLOW;
D O I：
10.3934/krm.2016009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The ellipsoidal BGK model (ES-BGK) is a generalized version of the original BGK model, designed to yield the correct Prandtl number in the Navier-Stokes limit. In this paper, we make two observations on the entropy production functional of the ES-BGK model. First, we show that the Cercignani type estimate holds for the ES-BGK model in the whole range of relaxation parameter -1/2 < v < 1. Secondly, we observe that the ellipsoidal relaxation operator satisfies an unexpected sign-definite property. Some implications of these observations are also discussed.
引用
收藏
页码：605 / 619
页数：15
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