Global small analytic solutions of MHD boundary layer equations

doi:10.1016/j.jde.2021.02.003

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	Global small analytic solutions of MHD boundary layer equations
	Liu, Ning 1; Zhang, Ping 1,2,3
	2021-04-25
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	281 页码:199-257
摘要	In this paper, we prove the global existence and the large time decay estimate of solutions to the two-dimensional MHD boundary layer equations with small initial data, which is analytical in the tangential variable. The main idea of the proof is motivated by that of [28]. The additional difficulties are: 1. There appears the magnetic field; 2. The far field here depends on the tangential variable; 3. The Reynolds number is different from magnetic Reynolds number. In particular, we solved an open question in [33] concerning the large time existence of analytical solutions to the MHD boundary layer equations. (C) 2021 Elsevier Inc. All rights reserved.
关键词	MHD Prandtl system Littlewood-Paley theory Analytic energy estimate
DOI	10.1016/j.jde.2021.02.003
收录类别	SCI
语种	英语
资助项目	NSF of China[11731007] ; NSF of China[11688101] ; NSF of China[12031006] ; National Center for Mathematics and Interdisciplinary Sciences ; K.C.Wong Education Foundation
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000621727000007
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/58306
专题	中国科学院数学与系统科学研究院
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Ning,Zhang, Ping. Global small analytic solutions of MHD boundary layer equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,281:199-257.
APA	Liu, Ning,&Zhang, Ping.(2021).Global small analytic solutions of MHD boundary layer equations.JOURNAL OF DIFFERENTIAL EQUATIONS,281,199-257.
MLA	Liu, Ning,et al."Global small analytic solutions of MHD boundary layer equations".JOURNAL OF DIFFERENTIAL EQUATIONS 281(2021):199-257.