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 |
| 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 |
| 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
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。