A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

doi:10.1016/S0252-9602(16)30060-1

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (4): 1153-1166.doi: 10.1016/S0252-9602(16)30060-1

A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

孔慧慧¹, 李海梁¹, 张兴伟²

1 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

收稿日期:2015-11-14 修回日期:2016-01-29 出版日期:2016-08-25 发布日期:2016-08-25
通讯作者: Hai-Liang LI,E-mail:hailiang.li.math@gmail.com E-mail:hailiang.li.math@gmail.com
作者简介:Huihui KONG,E-mail:konghuihuiking@126.com;Xingwei ZHANG,E-mail:xingwei.zhang.math@gmail.com
基金资助:
The research of the authors is supported by the NNSFC (11171228, 11231006, and 11225102), NSFC-RGC Grant 11461161007, and the Key Project of Beijing Municipal Education Commission No. CIT&TCD20140323.

A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

Huihui KONG¹, Hai-Liang LI¹, Xingwei ZHANG²

1 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2015-11-14 Revised:2016-01-29 Online:2016-08-25 Published:2016-08-25
Contact: Hai-Liang LI,E-mail:hailiang.li.math@gmail.com E-mail:hailiang.li.math@gmail.com
Supported by:
The research of the authors is supported by the NNSFC (11171228, 11231006, and 11225102), NSFC-RGC Grant 11461161007, and the Key Project of Beijing Municipal Education Commission No. CIT&TCD20140323.

摘要/Abstract

摘要：

In this article, we consider the free boundary value problem of 3D isentropic compressible Navier-Stokes equations. A blow-up criterion in terms of the maximum norm of gradients of velocity is obtained for the spherically symmetric strong solution in terms of the regularity estimates near the symmetric center and the free boundary respectively.

关键词: Blow-up criterion, spherically symmetric, free boundary, compressible Navier-Stokes equations

Abstract:

Key words: Blow-up criterion, spherically symmetric, free boundary, compressible Navier-Stokes equations

中图分类号:

35B44

孔慧慧, 李海梁, 张兴伟. A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY[J]. 数学物理学报(英文版), 2016, 36(4): 1153-1166.

Huihui KONG, Hai-Liang LI, Xingwei ZHANG. A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY[J]. Acta mathematica scientia,Series B, 2016, 36(4): 1153-1166.

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A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

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