Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data

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	Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data
	Jiang, S ; Zhang, P
	2002
发表期刊	INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN	0022-2518
卷号	51 期号:2 页码:345-355
摘要	We prove the existence of global weak solutions to the Cauchy problem for the Navier-Stokes equations of 2-dimensional compressible isothermal fluids when rho(0) and m(0) are spherically symmetric, rho(0) is an element of L-1 boolean AND L-M, and m(0)/rootrho(0) is an element of L-2, where rho(0) and m(0) are the initial density and momentum respectively, L-M is the Orlicz space over R-2 with M = M(s) = (1 + s)ln(1 + s) - s. The proof is based on a uniform L-2 ([0, T], L-loc(infinity) (R-2)) estimate of the velocity in the spherically symmetrical approximate solutions and a compactness lemma which gives a compactness result concerning H-n/2 and L-M in R-n.
关键词	2-D compressible Navier-Stokes equations isothermal fluids spherically symmetric weak solutions global existence Orlicz spaces weak convergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000176885800005
出版者	INDIANA UNIV MATH JOURNAL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17298
专题	中国科学院数学与系统科学研究院
通讯作者	Jiang, S
作者单位	1.Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiang, S,Zhang, P. Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL,2002,51(2):345-355.
APA	Jiang, S,&Zhang, P.(2002).Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data.INDIANA UNIVERSITY MATHEMATICS JOURNAL,51(2),345-355.
MLA	Jiang, S,et al."Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data".INDIANA UNIVERSITY MATHEMATICS JOURNAL 51.2(2002):345-355.