Stability of Couette flow for 2D Boussinesq system with vertical dissipation
文献类型：期刊论文
| 作者 | Deng, Wen1,2; Wu, Jiahong3; Zhang, Ping1,2,4 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2021-12-15 |
| 卷号 | 281期号:12页码:40 |
| 关键词 | Boussinesq equations Enhanced dissipation Stability of Couette flow |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2021.109255 |
| 英文摘要 | This paper establishes the nonlinear stability of the Couette flow for the 2D Boussinesq equations with only vertical dissipation. The Boussinesq equations concerned here model buoyancy-driven fluids such as atmospheric and oceanographic flows. Due to the presence of the buoyancy forcing, the energy of the standard Boussinesq equations could grow in time. It is the enhanced dissipation created by the linear non-self-adjoint operator y partial derivative(x) - nu partial derivative(yy) in the perturbation equation that makes the nonlinear stability possible. When the initial perturbation from the Couette flow (y, 0) is no more than the viscosity to a suitable power (in the Sobolev space H-b with b > 4/3), we prove that the solution of the 2D Boussinesq system with only vertical dissipation on T x R remains close to the Couette at the same order. A special consequence of this result is the stability of the Couette for the 2D Navier-Stokes equations with only vertical dissipation. (C) 2021 Elsevier Inc. All rights reserved. |
| 资助项目 | K. C. Wong Education Foundation ; National Science Foundation of USA[DMS 2104682] ; AT&T Foundation at Oklahoma State University ; NSF of China[11731007] ; NSF of China[12031006] ; NSF of China[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000709430900003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59425]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100049, Peoples R China 3.Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, Wen,Wu, Jiahong,Zhang, Ping. Stability of Couette flow for 2D Boussinesq system with vertical dissipation[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2021,281(12):40. |
| APA | Deng, Wen,Wu, Jiahong,&Zhang, Ping.(2021).Stability of Couette flow for 2D Boussinesq system with vertical dissipation.JOURNAL OF FUNCTIONAL ANALYSIS,281(12),40. |
| MLA | Deng, Wen,et al."Stability of Couette flow for 2D Boussinesq system with vertical dissipation".JOURNAL OF FUNCTIONAL ANALYSIS 281.12(2021):40. |
入库方式： OAI收割
来源：数学与系统科学研究院
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