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Volume 31, Issue 4
Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System

Changming Song & Yuanyuan Wang

DOI: 10.4208/jpde.v31.n4.7

J. Part. Diff. Eq., 31 (2018), pp. 374-384.

Published online: 2019-01

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35Q30, 35Q35, 35B65, 76D05, 76F65

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

cmsongh@163.com (Changming Song)

2366751730@qq.com (Yuanyuan Wang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-374, author = {Song , Changming and Wang , Yuanyuan}, title = {Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {31}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n4.7}, url = {http://global-sci.org/intro/article_detail/jpde/12950.html} }
TY - JOUR T1 - Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System AU - Song , Changming AU - Wang , Yuanyuan JO - Journal of Partial Differential Equations VL - 4 SP - 374 EP - 384 PY - 2019 DA - 2019/01 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n4.7 UR - https://global-sci.org/intro/article_detail/jpde/12950.html KW - Navier-Stokes equations KW - Allen-Cahn equation KW - local solutions KW - spherically symmetry. AB -

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.

Song , Changming and Wang , Yuanyuan. (2019). Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System. Journal of Partial Differential Equations. 31 (4). 374-384. doi:10.4208/jpde.v31.n4.7
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