GLOBAL WEAK SOLUTIONS FOR A KINETIC-FLUID MODEL WITH LOCAL ALIGNMENT FORCE IN A BOUNDED DOMAIN

被引：6

作者：

LI, Fucai ^{[1
]}

LI, Yue ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 10期

关键词：

compressible Navier-Stokes equations; local alignment force; non-homogeneous boundary conditions; weak solutions; Vlasov-Fokker-Planck equation; NAVIER-STOKES EQUATIONS; EXISTENCE; SYSTEM; SEDIMENTATION;

D O I：

10.3934/cpaa.2021122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a kinetic-fluid model in a 3D bounded domain. More precisely, this model is a coupling of the Vlasov-Fokker-Planck equation with the local alignment force and the compressible Navier-Stokes equations with nonhomogeneous Dirichlet boundary condition. We prove the global existence of weak solutions to it for the isentropic fluid (adiabatic coefficient gamma > 3/2) and hence extend the existence result of Choi and Jung [Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain, arXiv: 1912.13134v2], where the velocity of the fluid is supplemented with homogeneous Dirichlet boundary condition.

引用

页码：3567 / 3588

页数：22

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