A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations

查看全文 作　　者：SUN [1]YongZhong;ZHANG [2]ZhiFei

机构地区：[1]Department of Mathematics, Nanjing University, Nanjing 210093, China;[2]School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Science China Mathematics》索引2011年第54卷第1期,共12页

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 10771097, 10931007);supported by National Natural Science Foundation of China (Grant Nos. 10990013, 11071007)and SRF for ROCS,SEM 摘　　要：We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to 2D compressible Navier-Stokes equations in a bounded domain. The initial vacuum is allowed. The proof is based on the new a priori estimate for 2D compressible Navier-Stokes equations and a logarithmic estimate for Lamé system. 关键词：STOKES方程可压缩二维爆破先验估计有界域

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A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations

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