Blowup Criterion for Viscous Baratropic Flows with Vacuum States | |
Huang, Xiangdi1,4; Li, Jing2,3,4; Xin, Zhouping4 | |
2011 | |
发表期刊 | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
ISSN | 0010-3616 |
卷号 | 301期号:1页码:23-35 |
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. |
DOI | 10.1007/s00220-010-1148-y |
语种 | 英语 |
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 |
WOS类目 | Physics, Mathematical |
WOS记录号 | WOS:000285787600002 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/12524 |
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. |
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