Blowup Criterion for Viscous Baratropic Flows with Vacuum States
文献类型：期刊论文
| 作者 | Huang, Xiangdi1,4; Li, Jing2,3,4 ; Xin, Zhouping4
|
| 刊名 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2011 |
| 卷号 | 301期号:1页码:23-35 |
| ISSN号 | 0010-3616 |
| DOI | 10.1007/s00220-010-1148-y |
| 英文摘要 | We prove that the maximum norm of the deformation tensor of velocity gradients controls the possible breakdown of smooth(strong) solutions for the 3-dimensional (3D) barotropic compressible Navier-Stokes equations. More precisely, if a solution of the 3D barotropic compressible Navier-Stokes equations is initially regular and loses its regularity at some later time, then the loss of regularity implies the growth without bound of the deformation tensor as the critical time approaches. Our result is the same as Ponce's criterion for 3-dimensional incompressible Euler equations (Ponce in Commun Math Phys 98:349-353, 1985). In addition, initial vacuum states are allowed in our cases. |
| 资助项目 | Zheng Ge Ru Foundation ; Hong Kong RGC[CUHK4028/04P] ; Hong Kong RGC[CUHK4040/06P] ; Hong Kong RGC[CUHK4042/08P] ; RGC[CA05/06.SC01] ; SRF for ROCS, SEM, NNSFC[1060105910971215] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000285787600002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12523]  |
| 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.Acad Sinica, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Acad Sinica, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Xiangdi,Li, Jing,Xin, Zhouping. Blowup Criterion for Viscous Baratropic Flows with Vacuum States[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2011,301(1):23-35. |
| APA | Huang, Xiangdi,Li, Jing,&Xin, Zhouping.(2011).Blowup Criterion for Viscous Baratropic Flows with Vacuum States.COMMUNICATIONS IN MATHEMATICAL PHYSICS,301(1),23-35. |
| MLA | Huang, Xiangdi,et al."Blowup Criterion for Viscous Baratropic Flows with Vacuum States".COMMUNICATIONS IN MATHEMATICAL PHYSICS 301.1(2011):23-35. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。