On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data

doi:10.1016/j.matpur.2010.12.002

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	On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data
	Li, Jing1,2,3 ; Matsumura, Akitaka 3
	2011-05-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	95 期号:5 页码:495-512
摘要	This paper concerns global weak solutions of the Navier Stokes equations for three-dimensional compressible barotropic flow in the whole space R-3 subject to large external potential forces with discontinuous initial data. For general monotone increasing pressure, which includes the typical polytropic model for any positive ratio of specific heats, when there exists a unique steady state away from vacuum and the initial perturbation is suitably small in L-2 boolean AND L-infinity for density and in H-1 for velocity, the authors obtain the global existence of weak solutions by making a full use of the structure of the compressible Navier-Stokes equations and the steady states. (C) 2010 Elsevier Masson SAS. All rights reserved.
关键词	Compressible Navier-Stokes equations Large external forces Weak solutions Discontinuous initial data
DOI	10.1016/j.matpur.2010.12.002
语种	英语
资助项目	JSPS ; SRF for ROCS, SEM ; NNSFC[10601059] ; NNSFC[10971215] ; [19340037]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000291328600002
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/12283
专题	数学所
通讯作者	Li, Jing
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan
推荐引用方式 GB/T 7714	Li, Jing,Matsumura, Akitaka. On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2011,95(5):495-512.
APA	Li, Jing,&Matsumura, Akitaka.(2011).On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,95(5),495-512.
MLA	Li, Jing,et al."On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 95.5(2011):495-512.