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

doi:10.1090/proc/15755

CSpace

	REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM
	Deng, Wen 1,2; Paicu, Marius 3; Zhang, Ping 1,2,4
	2022-03-01
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	150 期号:3 页码:1223-1234
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.
关键词	Radius of analyticity Navier-Stokes equations
DOI	10.1090/proc/15755
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000770070100026
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60170
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100049, Peoples R China 3.Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France 4.Univ Chinese Acad Sci, Sch Math 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.