On the radius of analyticity of solutions to semi-linear parabolic systems

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	On the radius of analyticity of solutions to semi-linear parabolic systems
	Chemin, Jean-Yves 1; Gallagher, Isabelle 2,3; Zhang, Ping 4,5,6
	2020
发表期刊	MATHEMATICAL RESEARCH LETTERS
ISSN	1073-2780
卷号	27 期号:6 页码:1631-1643
摘要	We study the radius of analyticity R(t) in space, of strong solutions to systems of scale-invariant semi-linear parabolic equations. It is well-known that near the initial time, R(t)t(-1/2) is bounded from below by a positive constant. In this paper we prove that lim inf(t -> 0) R(t)t(-1/2) = infinity, and assuming higher regularity for the initial data, we obtain an improved lower bound near time zero. As an application, we prove that for any global solution u in C ([0,8); H-1/2 (R-3)) of the Navier-Stokes equations, there holds lim inf(t -> 0) R(t)t(-1/2) = infinity.
收录类别	SCI
语种	英语
资助项目	NSF of China[11731007] ; NSF of China[11688101] ; 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:000619860400002
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58168
专题	中国科学院数学与系统科学研究院
通讯作者	Chemin, Jean-Yves
作者单位	1.Sorbonne Univ, Lab JL Lions, UMR 7598, F-75252 Paris, France 2.PSL Res Univ, CNRS, Ecole Normale Super, DMA, F-75005 Paris, France 3.Univ Paris, UFR Math, Paris, France 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Chemin, Jean-Yves,Gallagher, Isabelle,Zhang, Ping. On the radius of analyticity of solutions to semi-linear parabolic systems[J]. MATHEMATICAL RESEARCH LETTERS,2020,27(6):1631-1643.
APA	Chemin, Jean-Yves,Gallagher, Isabelle,&Zhang, Ping.(2020).On the radius of analyticity of solutions to semi-linear parabolic systems.MATHEMATICAL RESEARCH LETTERS,27(6),1631-1643.
MLA	Chemin, Jean-Yves,et al."On the radius of analyticity of solutions to semi-linear parabolic systems".MATHEMATICAL RESEARCH LETTERS 27.6(2020):1631-1643.