SERRIN-TYPE CRITERION FOR THE THREE-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS

doi:10.1137/100814639

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	SERRIN-TYPE CRITERION FOR THE THREE-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS
	Huang, Xiangdi 1; Li, Jing2,3 ; Xin, Zhouping 4
	2011
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	43 期号:4 页码:1872-1886
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.
关键词	compressible Navier-Stokes equations Serrin-type blowup criterion vacuum
DOI	10.1137/100814639
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000294289500014
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11512
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.