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	Global Well-Posedness for Navier-Stokes Equations with Small Initial Value in B-n,infinity(0) (Omega)
	Ri, Myong-Hwan ; Zhang, Ping ; Zhang, Zhifei
	2016
关键词	Navier-Stokes equations existence uniqueness maximal regularity Stokes operator EVOLUTION-EQUATIONS MAXIMAL REGULARITY EXTERIOR DOMAINS INFINITE-LAYER OPERATOR SPACES SEMIGROUP CALCULUS LR
英文摘要	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.; CAS-TWAS Postdoctoral Fellowship [3240267229]; SCI(E); EI; ARTICLE; math.inst@star-co.net.kp; 1; 103-131; 18
语种	英语
出处	EI ; SCI
出版者	JOURNAL OF MATHEMATICAL FLUID MECHANICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/437572]
专题	数学科学学院
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). 2016-01-01.

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