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

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

Year:    2018

Author:    Changming Song, Yuanyuan Wang

Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 374–384

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 374–384

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Navier-Stokes equations

Author Details

Changming Song

Yuanyuan Wang

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