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

doi:10.1007/s11401-008-0039-4

CSpace

	The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data
	Hsiao, Ling 2; Ju, Qiangchang 3; Li, Fucai 1
	2009
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	30 期号:1 页码:17-26
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.
关键词	Compressible Navier-Stokes equations Incompressible Navier-Stokes equations Low Mach number limit Modulated energy functional Strichartz's estimate
DOI	10.1007/s11401-008-0039-4
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000263418200002
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8110
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.