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

doi:10.1016/j.jde.2022.07.005

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	Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations
	Xu, Li 1; Zhang, Ping 2,3,4
	2022-10-25
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	335 页码:464-496
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.
关键词	Anisotropic Navier-Stokes equations Littlewood-Paley theory Large time behavior
DOI	10.1016/j.jde.2022.07.005
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000853784600009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61014
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.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.