A blow-up criterion of spherically symmetric strong solutions to 3d compressible navier-stokes equations with free boundary

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• 作者：Huihui KONG^a ; ^{konghuihuiking@126.com" class="auth_mail" title="E-mail the corresponding author} ; Hai-Liang LI^a ; ^{hailiang.li.math@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Xingwei ZHANG^b ; ^{xingwei.zhang.math@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Blow-up criterion ; spherically symmetric ; free boundary ; compressible Navier-Stokes equations
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：36
• 期：4
• 页码：1153-1166
• 全文大小：284 K

文摘

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.