SERRIN-TYPE CRITERION FOR THE THREE-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS
文献类型：期刊论文
| 作者 | Huang, Xiangdi1; Li, Jing2,3 ; Xin, Zhouping4
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2011 |
| 卷号 | 43期号:4页码:1872-1886 |
| 关键词 | compressible Navier-Stokes equations Serrin-type blowup criterion vacuum |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/100814639 |
| 英文摘要 | We extend the well-known Serrin's blowup criterion for the three-dimensional (3D) incompressible Navier-Stokes equations to the 3D viscous compressible cases. It is shown that for the Cauchy problem of the 3D compressible Navier-Stokes equations in the whole space, the strong or smooth solution exists globally if the velocity satisfies the Serrin's condition and either the supernorm of the density or the L-1(0, T; L-infinity)-norm of the divergence of the velocity is bounded. Furthermore, in the case that either the shear viscosity coefficient is suitably large or there is no vacuum, the Serrin's condition on the velocity can be removed in this criterion. |
| 资助项目 | China Postdoctoral Science Foundation[20100470829] ; SRF for ROCS, SEM ; NNSFC[10971215] ; Zheng Ge Ru Foundation ; Hong Kong RGC[CUHK4040/06P] ; Hong Kong RGC[CUHK4042/08P] ; Chinese University of Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000294289500014 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11511]  |
| 专题 | 数学所 |
| 通讯作者 | Huang, Xiangdi |
| 作者单位 | 1.Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Xiangdi,Li, Jing,Xin, Zhouping. SERRIN-TYPE CRITERION FOR THE THREE-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(4):1872-1886. |
| APA | Huang, Xiangdi,Li, Jing,&Xin, Zhouping.(2011).SERRIN-TYPE CRITERION FOR THE THREE-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(4),1872-1886. |
| MLA | Huang, Xiangdi,et al."SERRIN-TYPE CRITERION FOR THE THREE-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.4(2011):1872-1886. |
入库方式： OAI收割
来源：数学与系统科学研究院
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