Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows

doi:10.1007/s00220-022-04597-2

	Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows
	Chen, Qi 1; Wei, Dongyi 2; Zhang, Zhifei 2
刊名	COMMUNICATIONS IN MATHEMATICAL PHYSICS
	2022-12-12
页码	62
ISSN号	0010-3616
DOI	10.1007/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
出版者	SPRINGER
WOS记录号	WOS:000898279400003
内容类型	期刊论文
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.