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1. |
Record Nr. |
UNINA9911095943803321 |
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Autore |
Bedrossian Jacob |
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Titolo |
Dynamics near the Subcritical Transition of the 3D Couette Flow II |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2022 |
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©2022 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (148 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.279 |
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Classificazione |
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35B3576E0576E3076F0676F1035B4076F25 |
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Altri autori (Persone) |
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GermainPierre |
MasmoudiNader |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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 -- |
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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. |
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Sommario/riassunto |
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"This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re. In this work, we show that there is constant , independent of Re, such that sufficiently regular disturbances of size for any exist at least until and in general evolve to be due to the lift-up effect. Further, after times , the streamwise dependence of the solution is rapidly diminished by a mixing-enhanced dissipation effect and the solution is attracted back to the class of "2.5 dimensional" streamwise-independent solutions (sometimes referred to as "streaks"). The largest of these streaks are expected to eventually undergo a secondary instability at . Hence, our work strongly suggests, for all (sufficiently regular) initial data, the genericity of the "lift-up effect streak growth streak breakdown" scenario for turbulent transition of the 3D Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature"-- |
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2. |
Record Nr. |
UNINA9911150269203321 |
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Autore |
Sutton Bennett |
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Titolo |
Shocking Aspects of Canadian Labor Markets / / Bennett Sutton, Tamim Bayoumi, Andrew Swiston |
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Pubbl/distr/stampa |
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Washington, D.C. : , : International Monetary Fund, , 2006 |
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ISBN |
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9786613829436 |
9781462368983 |
1462368980 |
9781452766294 |
1452766290 |
9781283516983 |
1283516985 |
9781451908787 |
1451908784 |
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Descrizione fisica |
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1 online resource (30 p.) |
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Collana |
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Altri autori (Persone) |
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BayoumiTamim |
SwistonAndrew |
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Disciplina |
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Soggetti |
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Labor market - Canada |
Manpower policy - Canada |
Business |
Canada |
Economics |
Economy |
Employment |
Human migration |
Immigration |
Labour economics |
Macroeconomics |
Unemployment |
Aggregate Human Capital |
Aggregate Labor Productivity |
Demand and Supply of Labor: General |
Economic theory |
Emigration and Immigration |
Emigration and immigration |
Income economics |
Intergenerational Income Distribution |
International Migration |
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Labor market flexibility |
Labor market |
Labor markets |
Labor |
Labour |
Migration |
Migration, immigration & emigration |
Real wages |
Wages |
Wages, Compensation, and Labor Costs: General |
Population and demographics |
income economics |
Canada |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""I. INTRODUCTION""; ""II. DATA AND METHODOLOGY""; ""III. INTERNATIONAL COMPARISONS""; ""IV. RESULTS ACROSS CANADIAN PROVINCES""; ""V. EXTENDING THE CANADIAN MODEL""; ""VI. CONCLUSIONS""; ""REFERENCES""; ""Data Appendix"" |
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Sommario/riassunto |
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We analyze the flexibility of the Canadian labor market across provinces in both an interand intra-national context using macroeconomic data on employment, unemployment, participation, and (for Canada) migration and real wages. We find that Canadian labor markets respond in a similar manner to their U.S. counterparts and are more flexible than those in major euro area countries. Within Canada, the results indicate that labor markets in Ontario and provinces further west are more flexible, particularly with regard to migration, while those further east are less so. |
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