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Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation

文献类型：期刊论文

作者Huang, Feimin1; Matsumura, Akitaka2
刊名COMMUNICATIONS IN MATHEMATICAL PHYSICS
出版日期2009-08-01
卷号289期号:3页码:841-861
ISSN号0010-3616
DOI10.1007/s00220-009-0843-z
英文摘要In this paper we investigate the asymptotic stability of a composite wave consisting of two viscous shock waves for the full compressible Navier-Stokes equation. By introducing a new linear diffusion wave special to this case, we successfully prove that if the strengths of the viscous shock waves are suitably small with same order and also the initial perturbations which are not necessarily of zero integral are suitably small, the unique global solution in time to the full compressible Navier-Stokes equation exists and asymptotically tends toward the corresponding composite wave whose shifts (in space) of two viscous shock waves are uniquely determined by the initial perturbations. We then apply the idea to study a half space problem for the full compressible Navier-Stokes equation and obtain a similar result.
资助项目NSFC[10471138] ; NSFC-NSAF[10676037] ; 973 project of China[2006CB805902] ; Japan Society for the Promotion of Science ; Invitation Fellowship for Research in Japan (Short-Term) ; [19340037]
WOS研究方向Physics
语种英语
WOS记录号WOS:000267103800003
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8755]  
专题应用数学研究所
通讯作者Huang, Feimin
作者单位1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China
2.Osaka Univ, Dept Pure & Appl Math, Grad Sch Informat Sci & Technol, Osaka, Japan
推荐引用方式
GB/T 7714		 Huang, Feimin,Matsumura, Akitaka. Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2009,289(3):841-861.
APA Huang, Feimin,&Matsumura, Akitaka.(2009).Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation.COMMUNICATIONS IN MATHEMATICAL PHYSICS,289(3),841-861.
MLA Huang, Feimin,et al."Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation".COMMUNICATIONS IN MATHEMATICAL PHYSICS 289.3(2009):841-861.

入库方式： OAI收割

来源：数学与系统科学研究院

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