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

作     者：孔慧慧 李海梁 张兴伟 

作者机构：School of Mathematical SciencesCapital Normal UniversityBeijing 100048China Institute of Applied Physics and Computational MathematicsBeijing 100088China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2016年第36卷第4期

页      面：1153-1166页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the NNSFC(11171228,11231006,and 11225102) NSFC-RGC Grant 11461161007 the Key Project of Beijing Municipal Education Commission No.CIT&TCD20140323 

主　　题：Blow-up criterion spherically symmetric free boundary compressible Navier- Stokes equations 

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.