Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system
Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system
复制标题
稳定纳维-斯托克斯/艾伦-卡恩系统弱解的存在性
DOI：
10.1016/j.jde.2020.06.026
复制
发表时间：
2020
影响因子：
2.4
通讯作者：
Zhu C.
中科院分区：
文献类型：
--
作者：
Chen S.;Ji S.;Wen H.;Zhu C.
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 γ> 2 with the phase function belonging to [− 1, 1]. Moreover, we give further analysis on the weak solution. More specifically, we prove that the steady NSAC system degenerates into Navier-Stokes system if the phase function is positive (negative) on Ω‾.
