An integral representation of functions in gas-kinetic models

被引：0

作者：

Perepelitsa, Misha ^{[1
]}

机构：

[1] Univ Houston, PGH 631,4800 Calhoun Rd, Houston, TX 77004 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 04期

关键词：

The Euler equations; Conservation laws; Kinetic models; SCALAR CONSERVATION-LAWS; BGK MODEL; EQUATION; CONSTRUCTION; REGULARITY; DYNAMICS;

D O I：

10.1007/s00033-016-0683-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the theory of kinetic models in gas dynamics, we obtain an integral representation of lower semi-continuous functions on R-d, d >= 1. We use the representation to study the problem of compactness of a family of the solutions of the discrete time BGK model for the compressible Euler equations. We determine sufficient conditions for strong compactness of moments of kinetic densities, in terms of the measures from their integral representations.

引用

页数：13

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