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

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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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)。
作者简介 Corresponding author:Chang Ming SONG,E-mail:cmsongh@163.com;Jian Lin ZHANG, E-mail :mathzhangjianlin@hotmail.com;Yuan Yuan WANG,E-mail :2366751730@qq.com。
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