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

期刊论文
发表日期：

2024年4月15日

查看全文

Chang Ming Song,
Jian Lin Zhang,
Yuan Yuan Wang

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 data ρ₀ without vacuum state.