Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega)

doi:10.1007/s00021-015-0243-4

CSpace

	Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega)
	Ri, Myong-Hwan 1; Zhang, Ping 2; Zhang, Zhifei 3
	2016-03-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	18 期号:1 页码:103-131
摘要	We prove global well-posedness for instationary Navier-Stokes equations with initial data in Besov space in whole and half space, and bounded domains of , . To this end, we prove maximal -regularity of the sectorial operators in some Banach spaces and, in particular, maximal -regularity of the Stokes operator in little Nikolskii spaces , , which are of independent significance. Then, based on the maximal regularity results and estimates of the Stokes semigroups, we prove global well-posedness for Navier-Stokes equations under smallness condition on via a fixed point argument using Banach fixed point theorem.
关键词	Navier-Stokes equations existence uniqueness maximal regularity Stokes operator
DOI	10.1007/s00021-015-0243-4
语种	英语
资助项目	CAS-TWAS Postdoctoral Fellowship[3240267229]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000370823400005
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22140
专题	中国科学院数学与系统科学研究院
通讯作者	Ri, Myong-Hwan
作者单位	1.State Acad Sci, Inst Math, Pyongyang, South Korea 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Ri, Myong-Hwan,Zhang, Ping,Zhang, Zhifei. Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega)[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2016,18(1):103-131.
APA	Ri, Myong-Hwan,Zhang, Ping,&Zhang, Zhifei.(2016).Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega).JOURNAL OF MATHEMATICAL FLUID MECHANICS,18(1),103-131.
MLA	Ri, Myong-Hwan,et al."Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega)".JOURNAL OF MATHEMATICAL FLUID MECHANICS 18.1(2016):103-131.