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

文献类型：期刊论文

作者Xu, Li2; Zhang, Ping1,3,4
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期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
DOI10.1016/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
WOS记录号WOS:000853784600009
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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