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

文献类型：期刊论文

作者Deng, Wen3,4; Paicu, Marius2; Zhang, Ping1,3,4
刊名PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
出版日期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
DOI10.1090/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
WOS记录号WOS:000770070100026
出版者AMER MATHEMATICAL SOC
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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