On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p

doi:10.1007/s11401-022-0356-z

CSpace

	On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p
	Hu, Ruilin 1; Zhang, Ping 1,2,3
	2022-09-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	43 期号:5 页码:749-772
摘要	Given initial data u(0) is an element of L-p (R-3) for some p in [3, 18/5], the auhtors first prove that 3D incompressible Navier-Stokes system has a unique solution u = u(L) +v with u(L) def/= e(t Delta)u(0) and v is an element of (L) over tilde (infinity) ([0, T]; (H)over dot 5/2 - 6/p) boolean AND (L) over tilde (1)(]0, T [; (H) over dot 9/2 - 6/p) for some positive time T. Then they derive an explicit lower bound for the radius of space analyticity of v, which in particular extends the corresponding results in [Chemin, J.-Y., Gallagher, I. and Zhang, P., On the radius of analyticity of solutions to semi-linear parabolic system, Math. Res. Lett., 27, 2020, 1631-1643, Herbst, I. and Skibsted, E., Analyticity estimates for the Navier-Stokes equations, Adv. in Math., 228, 2011, 1990-2033] with initial data in (H) over dot (s) (R-3) for s is an element of[1/2, 3/2].
关键词	Incompressible Navier-Stokes equations Radius of analyticity Littlewood-Paley theory
DOI	10.1007/s11401-022-0356-z
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11731007] ; National Natural Science Foundation of China[12031006] ; National Natural Science Foundation of China[11688101] ; National Key R&D Program of China[2021YFA1000800] ; K. C. Wong Education Foundation
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000883418100006
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60584
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, Ruilin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Kong 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	Hu, Ruilin,Zhang, Ping. On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2022,43(5):749-772.
APA	Hu, Ruilin,&Zhang, Ping.(2022).On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p.CHINESE ANNALS OF MATHEMATICS SERIES B,43(5),749-772.
MLA	Hu, Ruilin,et al."On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p".CHINESE ANNALS OF MATHEMATICS SERIES B 43.5(2022):749-772.