Global weak solutions to the inhomogeneous incompressible Navier-Stokes-Vlasov-Boltzmann equations

被引：2
作者：
Cui, Haibo [1 ]
Yao, Lei [2 ,3 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
[2] Northwest Univ, Sch Math, Xian 710127, Peoples R China
[3] Northwest Univ, Ctr Nonlinear Studies, Xian 710127, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 120卷
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes-Vlasov-Boltzmann equations; Global existence; Weak solutions; EXISTENCE;
D O I：
10.1016/j.aml.2021.107344
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the initial-boundary value problem of the coupled inhomogeneous incompressible Navier-Stokes equations and Vlasov-Boltzmann equation for the moderately thick spray is considered in three-dimensional space. The global existence of weak solutions is established by an approximation scheme, a fixed point argument and the weak convergence method. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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