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

Changming Song; Yuanyuan Wang

doi:10.4208/jpde.v31.n4.7

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

Authors

Changming Song Department of Applied Mathematics, College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China.
Yuanyuan Wang Department of Applied Mathematics, College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China

DOI:

https://doi.org/10.4208/jpde.v31.n4.7

Keywords:

Navier-Stokes equations;Allen-Cahn equation;local solutions;spherically symmetry.

Abstract

In this paper, we consider the initial boundary value problem of a coupled compressible Navier-Stokes/Allen-Cahn system which is described the motion of a mixture of two viscous compressible fluids in 3D. Our aim is to show the existence and uniqueness of local classical solution under the assumption of spherically symmetric condition for initial data ρ0 without vacuum state.

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Published

2020-05-12

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Issue

Vol. 31 No. 4 (2018)

Section

Articles

How to Cite

Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System. (2020). Journal of Partial Differential Equations, 31(4), 374-384. https://doi.org/10.4208/jpde.v31.n4.7