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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

文献类型：期刊论文

作者Li, Jing1,2,3; Matsumura, Akitaka3
刊名JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
出版日期2011-05-01
卷号95期号:5页码:495-512
关键词Compressible Navier-Stokes equations Large external forces Weak solutions Discontinuous initial data
ISSN号0021-7824
DOI10.1016/j.matpur.2010.12.002
英文摘要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.
资助项目JSPS ; SRF for ROCS, SEM ; NNSFC[10601059] ; NNSFC[10971215] ; [19340037]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000291328600002
出版者GAUTHIER-VILLARS/EDITIONS ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12282]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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