中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows

文献类型:期刊论文

作者Chen, Qi1; Wei, Dongyi2; Zhang, Zhifei2
刊名COMMUNICATIONS IN MATHEMATICAL PHYSICS
出版日期2022-12-12
页码62
ISSN号0010-3616
DOI10.1007/s00220-022-04597-2
英文摘要In this paper, we study the linearized Navier-Stokes system around monotone shear flows in a finite channel with non-slip boundary condition. We prove that if the flow is linearly stable for the Euler equations, then it is also linearly stable for the Navier-Stokes equations at high Reynolds number. More importantly, we establish the inviscid damping and enhanced dissipation estimates for the linearized Navier-Stokes system, which may be crucial for nonlinear stability. One of the key ingredients is the resolvent estimates of the linearized operator. For this, we develop the compactness method and establish some sharper estimates for the boundary layer corrector.
资助项目NSF of China ; [12171010]
WOS研究方向Physics
语种英语
WOS记录号WOS:000898279400003
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60464]  
专题中国科学院数学与系统科学研究院
通讯作者Chen, Qi
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式
GB/T 7714
Chen, Qi,Wei, Dongyi,Zhang, Zhifei. Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2022:62.
APA Chen, Qi,Wei, Dongyi,&Zhang, Zhifei.(2022).Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows.COMMUNICATIONS IN MATHEMATICAL PHYSICS,62.
MLA Chen, Qi,et al."Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2022):62.

入库方式: OAI收割

来源:数学与系统科学研究院

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