Transition Threshold for the 3D Couette Flow in a Finite Channel
Author:   Qi Chen ,  Dongyi Wei ,  Zhifei Zhang
Publisher:   American Mathematical Society
Volume:   Volume: 296 Number: 1478
ISBN:  

9781470468958


Pages:   178
Publication Date:   30 June 2024
Format:   Paperback
Availability:   In Print   Availability explained
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Transition Threshold for the 3D Couette Flow in a Finite Channel


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Overview

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.

Full Product Details

Author:   Qi Chen ,  Dongyi Wei ,  Zhifei Zhang
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 296 Number: 1478
Weight:   0.272kg
ISBN:  

9781470468958


ISBN 10:   1470468956
Pages:   178
Publication Date:   30 June 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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Author Information

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.

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