A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations

doi:10.1016/j.matpur.2010.08.001

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	A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
	Sun, Yongzhong 3; Wang, Chao 2; Zhang, Zhifei 1
	2011
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	95 期号:1 页码:36-47
摘要	We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is a priori estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux. (C) 2010 Elsevier Masson SAS. All rights reserved.
关键词	Blow-up criterion Compressible Navier-Stokes equations Lame system Strong solution
DOI	10.1016/j.matpur.2010.08.001
语种	英语
资助项目	Morningside Center of Mathematics in CAS ; NSF of China[10771097] ; NSF of China[10990013] ; SRF for ROCS, SEM
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000286698500003
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12129
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Zhifei
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
推荐引用方式 GB/T 7714	Sun, Yongzhong,Wang, Chao,Zhang, Zhifei. A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2011,95(1):36-47.
APA	Sun, Yongzhong,Wang, Chao,&Zhang, Zhifei.(2011).A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,95(1),36-47.
MLA	Sun, Yongzhong,et al."A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 95.1(2011):36-47.