Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations

被引：128

作者：

Mellet, A. ^{[1
]}

Vasseur, A. ^{[2
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2007年 / 17卷 / 07期

基金：

美国国家科学基金会;

关键词：

Vlasov equations; compressible Navier-Stokes equations; fluid-particles models; existence analysis;

D O I：

10.1142/S0218202507002194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of a weak solutions for a coupled system of kinetic and fluid equations. More precisely, we consider a Vlasov-Fokker-Planck equation coupled to compressible Navier-Stokes equation via a drag force. The fluid is assumed to be barotropic with gamma-pressure law (gamma > 3/2). The existence of weak solutions is proved in a bounded domain of R-3 with homogeneous Dirichlet conditions on the fluid velocity field and Dirichlet or reflection boundary conditions on the kinetic distribution function.

引用

页码：1039 / 1063

页数：25

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