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.
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页码：8331 / 8349
页数：19
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