Long time well-posedness of Prandtl system with small and analytic initial data

doi:10.1016/j.jfa.2016.01.004

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	Long time well-posedness of Prandtl system with small and analytic initial data
	Zhang, Ping1,2 ; Zhang, Zhifei 3
	2016-04-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	270 期号:7 页码:2591-2615
摘要	In this paper, we investigate the long time existence and uniqueness of small solution to d, for d = 2,3, dimensional Prandtl system with small initial data which is analytic in the horizontal variables. In particular, we prove that d dimensional Prandtl system has a unique solution with the life-span of which is greater than epsilon(-4/3). if the initial data is of size epsilon and the value on the boundary of the tangential velocity of the outflow are of size epsilon(5/3). We mention that the tool developed in [4,5] to make the analytical type estimates and the special structure of the nonlinear terms to this system play an essential role in the proof of this result. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Prandtl system Littlewood-Paley theory Life-span Energy method
DOI	10.1016/j.jfa.2016.01.004
语种	英语
资助项目	NSF of China[11371347] ; NSF of China[11371039] ; NSF of China[11421101] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences ; MCM
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000372212200008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22276
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ping,Zhang, Zhifei. Long time well-posedness of Prandtl system with small and analytic initial data[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2016,270(7):2591-2615.
APA	Zhang, Ping,&Zhang, Zhifei.(2016).Long time well-posedness of Prandtl system with small and analytic initial data.JOURNAL OF FUNCTIONAL ANALYSIS,270(7),2591-2615.
MLA	Zhang, Ping,et al."Long time well-posedness of Prandtl system with small and analytic initial data".JOURNAL OF FUNCTIONAL ANALYSIS 270.7(2016):2591-2615.