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The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data

文献类型：期刊论文

作者Hsiao, Ling2; Ju, Qiangchang3; Li, Fucai1
刊名CHINESE ANNALS OF MATHEMATICS SERIES B
出版日期2009
卷号30期号:1页码:17-26
关键词Compressible Navier-Stokes equations Incompressible Navier-Stokes equations Low Mach number limit Modulated energy functional Strichartz's estimate
ISSN号0252-9599
DOI10.1007/s11401-008-0039-4
英文摘要It is showed that, as the Mach number goes to zero, the weak solution of the compressible Navier-Stokes equations in the whole space with general initial data converges to the strong solution of the incompressible Navier-Stokes equations as long as the later exists. The proof of the result relies on the new modulated energy functional and the Strichartz's estimate of linear wave equation.
资助项目National Natural Science Foundation of China[10431060] ; National Natural Science Foundation of China[10701011] ; National Natural Science Foundation of China[10501047] ; Nanjing University Talent Development Foundation
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000263418200002
出版者SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8109]  
专题中国科学院数学与系统科学研究院
通讯作者Li, Fucai
作者单位1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式
GB/T 7714		 Hsiao, Ling,Ju, Qiangchang,Li, Fucai. The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2009,30(1):17-26.
APA Hsiao, Ling,Ju, Qiangchang,&Li, Fucai.(2009).The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data.CHINESE ANNALS OF MATHEMATICS SERIES B,30(1),17-26.
MLA Hsiao, Ling,et al."The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data".CHINESE ANNALS OF MATHEMATICS SERIES B 30.1(2009):17-26.

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来源：数学与系统科学研究院

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