Transition Threshold for the 3D Couette Flow in a Finite Channel
Published on 30. June 2024
Book
Paperback/Softback
178 pages
978-1-4704-6895-8 (ISBN)
Description
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
272 gr
ISBN-13
978-1-4704-6895-8 (9781470468958)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Qi Chen, Zhejiang University, Hangzhou, People's Republic of China, Dongyi Wei, Peking University, Beijing, People's Republic of China, and Zhifei Zhang, Peking University, Beijing, People's Republic of China.
Content
1. Introduction
2. Linear and nonlinear mechanisms affecting the threshold
3. Key ideas and sketch of the proof
4. Resolvent estimates with Navier-slip boundary condition
5. $L^p$ estimate of the solutions for the homogeneous OS
6. Resolvent estimates via the Neumann boundary data
7. Resolvent estimates when $V=y$
8. Space-time estimates of the linearized equation
9. Resolvent estimates for the simplified linearized NS system
10. Resolvent estimates for the full linearized NS system
11. Nonlinear interactions
12. Energy estimates for zero mode
13. Energy estimates for nonzero modes:semi-linear part
14. Energy estimates for nonzero modes:quasi-linear part
15. Global stability and long-time behavior
2. Linear and nonlinear mechanisms affecting the threshold
3. Key ideas and sketch of the proof
4. Resolvent estimates with Navier-slip boundary condition
5. $L^p$ estimate of the solutions for the homogeneous OS
6. Resolvent estimates via the Neumann boundary data
7. Resolvent estimates when $V=y$
8. Space-time estimates of the linearized equation
9. Resolvent estimates for the simplified linearized NS system
10. Resolvent estimates for the full linearized NS system
11. Nonlinear interactions
12. Energy estimates for zero mode
13. Energy estimates for nonzero modes:semi-linear part
14. Energy estimates for nonzero modes:quasi-linear part
15. Global stability and long-time behavior