Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system

被引：4

作者：

Chen, Senming ^{[1
]}

Ji, Shanming ^{[1
]}

Wen, Huanyao ^{[1
]}

Zhu, Changjiang ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes; Allen-Cahn; Weak solution; Nontrivial solution; EQUATIONS; DENSITY;

D O I：

10.1016/j.jde.2020.06.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The boundary value problem for the three-dimensional steady viscous compressible Navier-Stokes/Allen-Cahn (NSAC) system is considered. We establish the existence of a weak solution for the adiabatic index gamma > 2 with the phase function belonging to [-1, 1 ] . Moreover, we give further analysis on the weak solu-tion. More specifically, we prove that the steady NSAC system degenerates into Navier-Stokes system if the phase function is positive (negative) on (Omega) over bar. (c) 2020 Elsevier Inc. All rights reserved.

引用

页码：8331 / 8349

页数：19

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