Existence and blowup behavior of global strong solutions to the two-dimensional barotrpic compressible Navier-Stokes system with vacuum and large initial data

doi:10.1016/j.matpur.2016.02.003

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	Existence and blowup behavior of global strong solutions to the two-dimensional barotrpic compressible Navier-Stokes system with vacuum and large initial data
	Huang, Xiangdi1 ; Li, Jing 2,3
刊名	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
	2016-07-01
卷号	106 期号:1 页码:123-154
关键词	Compressible Navier-Stokes equations Global strong solutions Large initial data Vacuum Blowup
ISSN号	0021-7824
DOI	10.1016/j.matpur.2016.02.003
英文摘要	For periodic initial data with density allowed to vanish initially, we establish the global existence of strong and weak solutions to the two-dimensional barotropic compressible Navier Stokes equations with no restrictions on the size of initial data provided the shear viscosity is a positive constant and the bulk one is lambda = rho(beta) with beta > 4/3. These results generalize and improve the previous ones due to Vaigant Kazhikhov [Sib. Math. J. 36 (1995) 1283-1316] who required beta > 3. Moreover, we also prove that the densities for both the strong and weak solutions remain bounded from above independently of time. As a consequence, it is shown that both the strong and weak solutions converge to the equilibrium state as time tends to infinity. (C) 2016 Elsevier Masson SAS. All rights reserved.
资助项目	National Center for Mathematics and Interdisciplinary Sciences, CAS ; President Fund of Academy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd] ; NNSFC[11471321] ; NNSFC[11371064] ; NNSFC[11371348] ; NNSFC[11525106]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000378189900003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22945]
专题	数学所
通讯作者	Li, Jing
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, 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
推荐引用方式 GB/T 7714	Huang, Xiangdi,Li, Jing. Existence and blowup behavior of global strong solutions to the two-dimensional barotrpic compressible Navier-Stokes system with vacuum and large initial data[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2016,106(1):123-154.
APA	Huang, Xiangdi,&Li, Jing.(2016).Existence and blowup behavior of global strong solutions to the two-dimensional barotrpic compressible Navier-Stokes system with vacuum and large initial data.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,106(1),123-154.
MLA	Huang, Xiangdi,et al."Existence and blowup behavior of global strong solutions to the two-dimensional barotrpic compressible Navier-Stokes system with vacuum and large initial data".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 106.1(2016):123-154.