Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System  

作　　者：Chang Ming SONG Jian Lin ZHANG Yuan Yuan WANG 

机构地区：[1]Department of Applied Mathematics,School of Mathematics and Information Science,Zhongyuan University of Technology,Zhengzhou 450007,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第8期2037-2064,共28页数学学报（英文版）

基　　金：Supported by the NNSF of China(Grant Nos.12171438,11801133);the Natural Science Foundation of Henan Province(Grant No.152300410227);the grant from the Special Project of Basic Scientific Research Business Expenses of Zhongyuan University of Technology(Grant No.K2020TD004)。

摘　　要：In this paper,we consider the global spherically symmetric solutions for the initial boundary value problem of a coupled compressible Navier–Stokes/Allen–Cahn system which describes the motion of two-phase viscous compressible fluids.We prove the existence and uniqueness of global classical solution,weak solution and strong solution under the assumption of spherically symmetry condition for initial dataρ0 without vacuum state.

关 键 词：Diffuse interface model global solutions Navier-Stokes equations Allen-Cahn equation spherically symmetry 

分 类 号：O175.8[理学—数学]