Global existence of weak solutions for Navier-Stokes-BGK system

被引：13
|
作者：
Choi, Young-Pil [1 ]
Yun, Seok-Bae [2 ]
机构：
[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源：
NONLINEARITY | 2020年 / 33卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Vlasov equation; BGK model; incompressible Navier-Stokes equations; spray models; global existence of weak solutions; SEMI-LAGRANGIAN SCHEME; KINETIC-EQUATIONS; CAUCHY-PROBLEM; CLASSICAL-SOLUTIONS; EULER EQUATIONS; MODEL; VLASOV; LIMIT; MOMENTS; CONVERGENCE;
D O I：
10.1088/1361-6544/ab6c38
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the global well-posedness of a coupled system of kinetic and fluid equations. More precisely, we establish the global existence of weak solutions for Navier-Stokes-BGK system consisting of the BGK model of Boltzmann equation and incompressible Navier-Stokes equations coupled through a drag forcing term. This is achieved by combining weak compactness of the particle interaction operator based on Dunford-Pettis theorem, strong compactness of macroscopic fields of the kinetic part relied on velocity averaging lemma and a high order moment estimate, and strong compactness of the fluid part by Aubin-Lions lemma.
引用
收藏
页码：1925 / 1955
页数：31
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