Nonlinear stability of Ekman boundary layers in rotation stratified fluids / Koba, Hajime.

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Bibliographic Details
Main Author: Koba, Hajime
Format: eBook
Language:English
Published: [Place of publication not identified] : [publisher not identified], 2014.
Series:Memoirs of the American Mathematical Society.
Subjects:
Online Access:Click for online access

MARC

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245 1 0 |a Nonlinear stability of Ekman boundary layers in rotation stratified fluids /  |c Koba, Hajime. 
260 |a [Place of publication not identified] :  |b [publisher not identified],  |c 2014. 
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490 1 |a Memoirs of the American Mathematical Society ;  |v v. 228 
500 |a Title from content provider. 
505 0 |a 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 
505 8 |a 4.3. Convergence Properties4.4. 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 
505 8 |a ""Appendix A. Toolbox""""A.1. Heinz-Katoâ€?s Theorem and Maximal ^{ }-Regularity""; ""A.2. Compactness Criteria and Properties of a Mollifier""; ""A.3. Proofs of Useful Lemmas""; ""Bibliography"" 
650 0 |a Navier-Stokes equations. 
650 0 |a Fluid mechanics. 
650 0 |a Stratified flow  |x Mathematical models. 
650 0 |a Nonlinear boundary value problems. 
650 7 |a Fluid mechanics  |2 fast 
650 7 |a Navier-Stokes equations  |2 fast 
650 7 |a Nonlinear boundary value problems  |2 fast 
650 7 |a Stratified flow  |x Mathematical models  |2 fast 
758 |i has work:  |a Nonlinear stability of Ekman boundary layers in rotating stratified fluids (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGBKJtdq8vPxvFJY4GRD4q  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Koba, Hajime.  |t Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids.  |d Providence : American Mathematical Society, ©1900  |z 9780821891339 
830 0 |a Memoirs of the American Mathematical Society. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114209  |y Click for online access 
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