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Record Nr. |
UNINA9910796034903321 |
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Autore |
Koba Hajime <1984-> |
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Titolo |
Nonlinear stability of Ekman boundary layers in rotation stratified fluids / / Hajime Koba |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (142 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 228, Number 1073 |
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Disciplina |
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Soggetti |
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Navier-Stokes equations |
Fluid mechanics |
Stratified flow - Mathematical models |
Nonlinear boundary value problems |
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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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'Volume 228, Number 1073 (fifth of 5 numbers)." |
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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""; ""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"" |
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