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

作者：Kong, Huihui; Li, Hai-Liang^*; Zhang, Xingwei

来源：Acta Mathematica Scientia, 2016, 36(4): 1153-1166.

DOI：10.1016/S0252-9602(16)30060-1

• Blow-up criterion
• spherically symmetric
• free boundary
• compressible Navier-Stokes equations

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.

• 出版日期2016-7
• 单位北京应用物理与计算数学研究所; 首都师范大学