KMS Of Academy of mathematics and systems sciences, CAS
| Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows | |
| Chen, Qi1; Wei, Dongyi2; Zhang, Zhifei2 | |
| 2022-12-12 | |
| 发表期刊 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| ISSN | 0010-3616 |
| 页码 | 62 |
| 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. |
| DOI | 10.1007/s00220-022-04597-2 |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | NSF of China ; [12171010] |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Mathematical |
| WOS记录号 | WOS:000898279400003 |
| 出版者 | SPRINGER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/60465 |
| 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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