Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media

被引：13

作者：

Han, Daozhi ^{[1
]}

He, Xiaoming ^{[1
]}

Wang, Quan ^{[2
]}

Wu, Yanyun ^{[3
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

[2] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China

[3] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2021年 / 211卷

基金：

美国国家科学基金会;

关键词：

Navier-Stokes; Cahn-Hilliard; Darcy; Diffuse interface model; Well-posedness; Superposed free flow and porous media; DIFFUSE INTERFACE MODEL; LONG-TIME BEHAVIOR; PHASE-FIELD MODEL; WELL-POSEDNESS; 2-PHASE FLOWS; IRREVERSIBLE-PROCESSES; INCOMPRESSIBLE FLUIDS; RECIPROCAL RELATIONS; NUMERICAL SCHEMES; MIXTURE;

D O I：

10.1016/j.na.2021.112411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a diffuse interface model for two-phase flows of similar densities in superposed free flow and porous media. The model consists of the Navier- Stokes-Cahn-Hilliard system in free flow and the Darcy-Cahn-Hilliard system in porous media coupled through a set of domain interface boundary conditions. These domain interface boundary conditions include the nonlinear Lions interface condition and the linear Beavers-Joseph-Saffman-Jones interface condition. We establish global existence of weak solutions in three dimension. We also show that the strong solution if exists agrees with the weak solutions. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：27

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