Nonlinear stability of Ekman boundary layers in rotation stratified fluids / / Hajime Koba
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| Autore: |
Koba Hajime <1984->
|
| Titolo: |
Nonlinear stability of Ekman boundary layers in rotation stratified fluids / / Hajime Koba
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| ©2013 | |
| Descrizione fisica: | 1 online resource (142 p.) |
| Disciplina: | 532/.051 |
| Soggetto topico: | Navier-Stokes equations |
| Fluid mechanics | |
| Stratified flow - Mathematical models | |
| Nonlinear boundary value problems | |
| Note generali: | 'Volume 228, Number 1073 (fifth of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""Chapter 2. Formulation and Main Results""; ""2.1. Function Spaces and Notation""; ""2.2. Formulation and Main Results""; ""Chapter 3. Linearized Problem""; ""3.1. Trace Operators and Characterizations of Function Spaces""; ""3.2. Stokes-Laplace Operators with Dirichlet Boundary Conditions _{ }""; ""3.3.""; ""3.4. Ekman Operators _{ , }""; ""3.5. Linear Stability""; ""Chapter 4. Existence of Global Weak Solutions""; ""4.1. Construction of Approximate Solutions""; ""4.2. A-priori Bounds for Approximate Solutions"" |
| ""4.3. Convergence Properties""""4.4. Weak Continuity and an Energy Inequality""; ""4.5. Existence of a Weak Solution""; ""Chapter 5. Uniqueness of Weak Solutions""; ""5.1. Strong Energy Inequality""; ""5.2. Strong Energy Equality""; ""5.3. Uniqueness of Weak Solutions""; ""Chapter 6. Nonlinear Stability""; ""6.1. Weak Nonlinear Stability""; ""6.2. Decay Property""; ""Chapter 7. Smoothness of Weak Solutions""; ""7.1. Construction of a Unique Strong Solution""; ""7.2. Smoothness of Weak Solutions""; ""Chapter 8. Some Extensions of the Theory""; ""8.1. Navier-Stokes System with Coriolis Force"" | |
| ""Appendix A. Toolbox""""A.1. Heinz-Kato�s Theorem and Maximal ^{ }-Regularity""; ""A.2. Compactness Criteria and Properties of a Mollifier""; ""A.3. Proofs of Useful Lemmas""; ""Bibliography"" | |
| Titolo autorizzato: | Nonlinear stability of Ekman boundary layers in rotation stratified fluids |
| ISBN: | 1-4704-1485-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910829156603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 228, Number 1073.