REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM

doi:10.1090/proc/15755

	REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM
	Deng, Wen 3,4; Paicu, Marius 2; Zhang, Ping 1,3,4
刊名	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
	2022-03-01
卷号	150 期号:3 页码:1223-1234
关键词	Radius of analyticity Navier-Stokes equations
ISSN号	0002-9939
DOI	10.1090/proc/15755
英文摘要	We first investigate the large time decay of the Fourier coefficients to the global mild solution of Navier-Stokes system with periodic boundary condition and with small enough initial data. In particular, this result ensures the fast decay of Fourier coefficients to any global solution u is an element of C([0, infinity[; (H)over dot(1/2)(T-3)) of Navier-Stokes system. Then we extend this result to Navier-Stokes system with an additional low frequency damping term in the whole space. Finally, we prove that the radius of analyticity R(t) to this modified system with small initial data in (H)over dot(1/2)(R-3) is bounded from below by a positive constant times t, which makes sharp contrast with the corresponding result for the classical Navier-Stokes system that R(t)t(-1/2) is bounded from below by a positive constant.
资助项目	K. C. Wong Education Foundation ; NSF of China[11731007] ; NSF of China[12031006] ; NSF of China[11688101]
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000770070100026
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60169]
专题	中国科学院数学与系统科学研究院
通讯作者	Deng, Wen
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Deng, Wen,Paicu, Marius,Zhang, Ping. REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2022,150(3):1223-1234.
APA	Deng, Wen,Paicu, Marius,&Zhang, Ping.(2022).REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,150(3),1223-1234.
MLA	Deng, Wen,et al."REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 150.3(2022):1223-1234.