Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations

doi:10.1016/j.jde.2022.07.005

	Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations
	Xu, Li 2; Zhang, Ping 1,3,4
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2022-10-25
卷号	335 页码:464-496
关键词	Anisotropic Navier-Stokes equations Littlewood-Paley theory Large time behavior
ISSN号	0022-0396
DOI	10.1016/j.jde.2022.07.005
英文摘要	In this paper, we study the decay rates for the global small smooth solutions to 3D anisotropic incom-pressible Navier-Stokes equations. In particular, we prove that the horizontal components of the velocity field decay like the solutions of 2D classical Navier-Stokes equations. While the third component of the velocity field decays as the solutions of 3D Navier-Stokes equations. We remark that such enhanced decay rate for the third component is caused by the interplay between the divergence free condition of the velocity field and the horizontal Laplacian in the anisotropic Navier-Stokes equations. (c) 2022 Elsevier Inc. All rights reserved.
资助项目	NSF of China[11731007] ; NSF of China[12031006] ; NSF of China[11688101] ; NSF of China[11671383] ; NSF of China[12171019] ; K. C. Wong Education Foundation
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000853784600009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61013]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Ping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Xu, Li,Zhang, Ping. Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2022,335:464-496.
APA	Xu, Li,&Zhang, Ping.(2022).Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations.JOURNAL OF DIFFERENTIAL EQUATIONS,335,464-496.
MLA	Xu, Li,et al."Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations".JOURNAL OF DIFFERENTIAL EQUATIONS 335(2022):464-496.