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Dynamics near the subcritical transition of the 3D Couette flow I : below threshold case / / Jacob Bedrossian, Pierre Germain, Nader Masmoudi
| Dynamics near the subcritical transition of the 3D Couette flow I : below threshold case / / Jacob Bedrossian, Pierre Germain, Nader Masmoudi |
| Autore | Bedrossian Jacob <1984-> |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (v, 158 pages) |
| Disciplina | 532.58 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Inviscid flow
Mixing Shear flow Stability Three-dimensional modeling Damping (Mechanics) Viscous flow - Mathematical models |
| ISBN | 1-4704-6251-6 |
| Classificazione | 35B3576E0576E3076F0676F1035B4076F25 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Outline of the proof -- Regularization and continuation -- High norm estimate on Q2 -- High norm estimate on Q3 -- High norm estimate on Q1/0 -- High norm estimate on Q1/[not equal] -- Coordinate system controls -- Enhanced dissipation estimates -- Sobolev estimates. |
| Record Nr. | UNINA-9910794335603321 |
Bedrossian Jacob <1984->
|
||
| Providence, RI : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics near the subcritical transition of the 3D Couette flow I : below threshold case / / Jacob Bedrossian, Pierre Germain, Nader Masmoudi
| Dynamics near the subcritical transition of the 3D Couette flow I : below threshold case / / Jacob Bedrossian, Pierre Germain, Nader Masmoudi |
| Autore | Bedrossian Jacob <1984-> |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (v, 158 pages) |
| Disciplina | 532.58 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Inviscid flow
Mixing Shear flow Stability Three-dimensional modeling Damping (Mechanics) Viscous flow - Mathematical models |
| ISBN | 1-4704-6251-6 |
| Classificazione | 35B3576E0576E3076F0676F1035B4076F25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Outline of the proof -- Regularization and continuation -- High norm estimate on Q2 -- High norm estimate on Q3 -- High norm estimate on Q1/0 -- High norm estimate on Q1/[not equal] -- Coordinate system controls -- Enhanced dissipation estimates -- Sobolev estimates. |
| Record Nr. | UNINA-9910807220503321 |
|
Bedrossian Jacob <1984->
|
||
| Providence, RI : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics near the Subcritical Transition of the 3D Couette Flow II
| Dynamics near the Subcritical Transition of the 3D Couette Flow II |
| Autore | Bedrossian Jacob |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina |
620.1/064
620.1064 |
| Altri autori (Persone) |
GermainPierre
MasmoudiNader |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Viscous flow - Mathematical models
Stability Shear flow Inviscid flow Mixing Damping (Mechanics) Three-dimensional modeling Partial differential equations -- Qualitative properties of solutions -- Stability Fluid mechanics -- Hydrodynamic stability -- Parallel shear flows Fluid mechanics -- Hydrodynamic stability -- Nonlinear effects Fluid mechanics -- Turbulence -- Transition to turbulence Fluid mechanics -- Turbulence -- Shear flows Partial differential equations -- Qualitative properties of solutions -- Asymptotic behavior of solutions Fluid mechanics -- Turbulence -- Turbulent transport, mixing |
| ISBN |
9781470472313
1470472317 |
| Classificazione | 35B3576E0576E3076F0676F1035B4076F25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Chapter 1. Introduction -- 1.1. Linear behavior and streaks -- 1.2. Statement of main results -- 1.3. Notations and conventions -- Acknowledgments -- Chapter 2. Outline of the proof -- 2.1. Summary and weakly nonlinear heuristics -- 2.2. Choice of the norms -- 2.3. Instantaneous regularization and continuation of solutions -- 2.4. ⁱ formulation, the coordinate transformation, and some key cancellations -- 2.5. The toy model and design of the norms -- 2.6. Design of the norms based on the toy model -- 2.7. Main energy estimates -- Chapter 3. Regularization and continuation -- Chapter 4. Multiplier and paraproduct tools -- 4.1. Basic inequalities regarding the multipliers -- 4.2. Paraproducts and related notations -- 4.3. Product lemmas and a few immediate consequences -- Chapter 5. High norm estimate on ² -- 5.1. Zero frequencies -- 5.2. Non-zero frequencies -- Chapter 6. High norm estimate on ³ -- 6.1. Zero frequencies -- 6.2. Non-zero frequencies -- Chapter 7. High norm estimate on ¹₀ -- 7.1. Transport nonlinearity -- 7.2. Nonlinear stretching -- 7.3. Forcing from non-zero frequencies -- 7.4. Dissipation error terms -- Chapter 8. High norm estimate on ¹_{≠} -- 8.1. Linear stretching term 1 -- 8.2. Lift-up effect term -- 8.3. Linear pressure term 1 -- 8.4. Nonlinear pressure -- 8.5. Nonlinear stretching -- 8.6. Transport nonlinearity -- 8.7. Dissipation error terms -- Chapter 9. Coordinate system controls -- 9.1. High norm estimate on -- 9.2. Low norm estimate on -- 9.3. Long time, high norm estimate on ⁱ -- 9.4. Shorter time, high norm estimate on ⁱ -- 9.5. Low norm estimate on -- Chapter 10. Enhanced dissipation estimates -- 10.1. Enhanced dissipation of ³ -- 10.2. Enhanced dissipation of ² -- 10.3. Enhanced dissipation of ¹ -- Chapter 11. Sobolev estimates -- 11.1. Improvement of (2.45c)and (2.45b).
11.2. Improvement of (2.45a) -- Appendix A. Fourier analysis conventions, elementary inequalities, and Gevrey spaces -- Appendix B. Some details regarding the coordinate transform -- Appendix C. Definition and analysis of the norms -- C.1. Definition and analysis of -- C.2. The design and analysis of _{ } -- Appendix D. Elliptic estimates -- D.1. Lossy estimates -- D.2. Precision lemmas -- Bibliography -- Back Cover. |
| Altri titoli varianti | Dynamics Near the Subcritical Transition of the 3D Couette Flow II |
| Record Nr. | UNINA-9910964678103321 |
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Bedrossian Jacob
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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