A Remark on the Cauchy Problem of 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients

doi:10.1007/s10255-011-0118-2

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	A Remark on the Cauchy Problem of 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients
	Wei, Jin-tao ; He, Lin ; Guo, Zhen-hua
	2014
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
卷号	30 期号:1 页码:193-204
摘要	This paper is concerned with the Cauchy problems of one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficients. By assuming rho(0) is an element of L-1(R), we will prove the existence of weak solutions to the Cauchy problems for theta > 0. This will improve results in Jiu and Xin's paper (Kinet. Relat. Models, 1: 313-330 (2008)) in which theta > 1/2 is required. In addition, We will study the large time asymptotic behavior of such weak solutions.
关键词	Cauchy problem compressible flows density-dependent viscosity Coefficients
DOI	10.1007/s10255-011-0118-2
收录类别	SCI ; SCOPUS ; SCIE ; CSCD
ISSN	0168-9673
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000334261200016
出版者	SPRINGER HEIDELBERG
原始文献类型	Article
EISSN	1618-3932
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/13705
专题	兰州财经大学
作者单位	1.Lanzhou Commercial Coll, Dept Coll Math Teaching, Longqiao Coll, Lanzhou 730101, Peoples R China; 2.NW Univ Xian, CNS, Xian 710069, Peoples R China; 3.NW Univ Xian, Dept Math, Xian 710069, Peoples R China
推荐引用方式 GB/T 7714	Wei, Jin-tao,He, Lin,Guo, Zhen-hua. A Remark on the Cauchy Problem of 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2014,30(1):193-204.
APA	Wei, Jin-tao,He, Lin,&Guo, Zhen-hua.(2014).A Remark on the Cauchy Problem of 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,30(1),193-204.
MLA	Wei, Jin-tao,et al."A Remark on the Cauchy Problem of 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 30.1(2014):193-204.

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