Acta mathematica scientia, Series B >
A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY
Received date: 2015-11-14
Revised date: 2016-01-29
Online published: 2016-08-25
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.
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.
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 . DOI: 10.1016/S0252-9602(16)30060-1
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