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, Jing2,3
	2016-07-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	106 期号:1 页码:123-154
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.
关键词	Compressible Navier-Stokes equations Global strong solutions Large initial data Vacuum Blowup
DOI	10.1016/j.matpur.2016.02.003
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000378189900003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22946
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.