A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows

doi:10.1007/s00205-011-0407-1

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	A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows
	Sun, Yongzhong 1; Wang, Chao 2; Zhang, Zhifei 3,4
	2011-08-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	201 期号:2 页码:727-742
摘要	We prove a blow-up criterion in terms of the upper bound of (rho, rho (-1), theta) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in Haspot (Regularity of weak solutions of the compressible isentropic Navier-Stokes equation, arXiv:1001.1581, 2010) and Sun et al. (J Math Pure Appl 95:36-47, 2011), whose divergence can be viewed as the effective viscous flux.
DOI	10.1007/s00205-011-0407-1
语种	英语
资助项目	Morningside Center of Mathematics in CAS ; NSF of China[10771097] ; NSF of China[10931007] ; NSF of China[10990013] ; NSF of China[11071007]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000292970700010
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/11845
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Yongzhong
作者单位	1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 2.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Peking Univ, LMAM, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Sun, Yongzhong,Wang, Chao,Zhang, Zhifei. A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2011,201(2):727-742.
APA	Sun, Yongzhong,Wang, Chao,&Zhang, Zhifei.(2011).A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,201(2),727-742.
MLA	Sun, Yongzhong,et al."A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 201.2(2011):727-742.