Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System
- Resource Type
- Original Paper
- Authors
- Song, Chang Ming; Zhang, Jian Lin; Wang, Yuan Yuan
- Source
- Acta Mathematica Sinica, English Series. :1-28
- Subject
- Diffuse interface model
global solutions
Navier–Stokes equations
Allen–Cahn equation
spherically symmetry
35Q30
35Q35
76N10
76D05
- Language
- English
- ISSN
- 1439-8516
1439-7617
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.