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.
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页码：1039 / 1063
页数：25
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