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OverviewA stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq 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 global-in-time 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. Full Product DetailsAuthor: Hajime KobaPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 228, 1073 Weight: 0.456kg ISBN: 9780821891339ISBN 10: 0821891332 Pages: 127 Publication Date: 30 April 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction 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 BibliographyReviewsAuthor InformationHajime Koba, Waseda University, Tokyo, Japan. Tab Content 6Author Website:Countries AvailableAll regions |
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