Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids

doi:10.1016/S0021-7824(03)00015-1

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	Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids
	Jiang, S ; Zhang, P
	2003-08-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	82 期号:8 页码:949-973
摘要	We prove the existence of global weak solutions to the Navier-Stokes equations for compressible isentropic fluids for any gamma > 1 when the Cauchy data are axisymmetric, where gamma is the specific heat ratio. Moreover, we obtain a new integrability estimate of the density in any neighborhood of the symmetric axis (the singularity axis). (C) 2003 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
关键词	3D compressible Navier-Stokes equations axisymmetric global weak solutions weak convergence concentration compactness
DOI	10.1016/S0021-7824(03)00015-1
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000185735700002
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19134
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.LCP, Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiang, S,Zhang, P. Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2003,82(8):949-973.
APA	Jiang, S,&Zhang, P.(2003).Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,82(8),949-973.
MLA	Jiang, S,et al."Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 82.8(2003):949-973.