Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system with nonhomogeneous boundary data

被引：4
作者：
Li, Yue [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 02期
关键词：
Vlasov-Fokker-Planck equation; Compressible Navier-Stokes equations; Nonhomogeneous boundary conditions; Weak solutions;
D O I：
10.1007/s00033-021-01488-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a kinetic-fluid model with nonhomogeneous Dirichlet boundary data in a 3D bounded domain. This model consists of a Vlasov-Fokker-Planck equation coupled with the compressible Navier-Stokes equations via a friction force. We establish the global existence of weak solutions to it for the isentropic fluid (adiabatic coefficient gamma>32) with large initial data, and large velocity and density at the inflow boundary.
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页数：29
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