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Transition Threshold for the 3D Couette Flow in a Finite Channel
| Softcover ISBN: | 978-1-4704-6895-8 |
| Product Code: | MEMO/296/1478 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7815-5 |
| Product Code: | MEMO/296/1478.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6895-8 |
| eBook: ISBN: | 978-1-4704-7815-5 |
| Product Code: | MEMO/296/1478.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Transition Threshold for the 3D Couette Flow in a Finite Channel
| Softcover ISBN: | 978-1-4704-6895-8 |
| Product Code: | MEMO/296/1478 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7815-5 |
| Product Code: | MEMO/296/1478.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6895-8 |
| eBook ISBN: | 978-1-4704-7815-5 |
| Product Code: | MEMO/296/1478.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 296; 2024; 178 ppMSC: Primary 35
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Table of Contents
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Chapters
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1. Introduction
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2. Linear and nonlinear mechanisms affecting the threshold
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3. Key ideas and sketch of the proof
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4. Resolvent estimates with Navier-slip boundary condition
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5. $L^p$ estimate of the solutions for the homogeneous OS
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6. Resolvent estimates via the Neumann boundary data
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7. Resolvent estimates when $V=y$
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8. Space-time estimates of the linearized equation
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9. Resolvent estimates for the simplified linearized NS system
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10. Resolvent estimates for the full linearized NS system
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11. Nonlinear interactions
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12. Energy estimates for zero mode
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13. Energy estimates for nonzero modes:semi-linear part
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14. Energy estimates for nonzero modes:quasi-linear part
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15. Global stability and long-time behavior
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A.
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 296; 2024; 178 pp
MSC: Primary 35
-
Chapters
-
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
-
A.
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.