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Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations
Xu, Li1; Zhang, Ping2,3,4
2022-10-25
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume335Pages:464-496
AbstractIn 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.
KeywordAnisotropic Navier-Stokes equations Littlewood-Paley theory Large time behavior
DOI10.1016/j.jde.2022.07.005
Indexed BySCI
Language英语
Funding ProjectNSF 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000853784600009
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/61014
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Ping
Affiliation1.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
Recommended Citation
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.
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