On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow

doi:10.1007/s00205-015-0945-z

CSpace > 数学所

	On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow
	Liao, Xian; Zhang, Ping
	2016-06-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	220 期号:3 页码:937-981
摘要	Regarding P.-L. Lions' open question in Oxford Lecture Series in Mathematics and its Applications, Vol. 3 (1996) concerning the propagation of regularity for the density patch, we establish the global existence of solutions to the two-dimensional inhomogeneous incompressible Navier-Stokes system with initial density given by for some small enough constant and some domain , with initial vorticity belonging to and with appropriate tangential regularities. Furthermore, we prove that the regularity of the domain is preserved by time evolution.
DOI	10.1007/s00205-015-0945-z
语种	英语
资助项目	MCM ; NSF of China[11371347] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000371800100001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22215
专题	数学所
通讯作者	Liao, Xian; Zhang, Ping
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liao, Xian,Zhang, Ping. On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2016,220(3):937-981.
APA	Liao, Xian,&Zhang, Ping.(2016).On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,220(3),937-981.
MLA	Liao, Xian,et al."On the Global Regularity of the Two-Dimensional Density Patch for Inhomogeneous Incompressible Viscous Flow".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 220.3(2016):937-981.