Nonlinear stability of Ekman boundary layers in rotating stratified fluids
 Responsibility
 Hajime Koba.
 Publication
 Providence, Rhode Island : American Mathematical Society, 2014.
 Copyright notice
 ©2013.
 Physical description
 vii, 127 pages ; 26 cm.
 Series
 Memoirs of the American Mathematical Society ; no. 1073.
Access
Available online
Science Library (Li and Ma)
Serials
Call number  Status 

Shelved by Series title NO.1073  Unknown 
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Creators/Contributors
 Author/Creator
 Koba, Hajime, 1984 author.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Introduction Formulation and Main Results Linearized Problem Existence of Global Weak Solutions Uniqueness of Weak Solutions Nonlinear Stability Smoothness of Weak Solutions Some Extensions of the Theory Appendix A. Toolbox Bibliography.
 (source: Nielsen Book Data)9780821891339 20160612
 Publisher's Summary
 A stationary solution of the rotating NavierStokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating NavierStokesBoussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique globalintime strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
(source: Nielsen Book Data)9780821891339 20160612
Subjects
Bibliographic information
 Publication date
 2014
 Copyright date
 2013
 Series
 Memoirs of the American Mathematical Society ; Number 1073
 Note
 "March 2014, volume 228, number 1073 (fifth of 5 numbers)."
 ISBN
 9780821891339 (alk. paper)
 0821891332 (alk. paper)