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OverviewAimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analysed. Part II is devoted to a self contained proof of the existence of weak (or strong) solutions to the incompressible Navier-Stokes equations. Part III deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates and those in R². In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open. Full Product DetailsAuthor: Jean-Yves Chemin (, Laboratoire J.-L. Lions, University of Paris 6, France) , Benoit Desjardins (, Centre of Atomic Studies, France) , Isabelle Gallagher (, Institut de Mathématiques de Jussieu, University of Paris 7, France) , Emmanuel Grenier (, École Normale Superiore de Lyon, France)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 32 Dimensions: Width: 16.00cm , Height: 2.00cm , Length: 24.00cm Weight: 0.540kg ISBN: 9780198571339ISBN 10: 019857133 Pages: 264 Publication Date: 13 April 2006 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviews...recommended...providing an excellent overview of the technical aspects of Navier-Stokes analysis [and] the physical effects...of rotating flows. Fluid Mechanics, Volume 585 ...recommended...providing an excellent overview of the technical aspects of Navier-Stokes analysis [and] the physical effects...of rotating flows. * Fluid Mechanics, Volume 585 * Author InformationJean-Yves Chemin is a Professor at the University of Paris VI Benoit Desjardins is based at the Centre of Atomic Studies centre de Bruyers le Chatel Isabelle Gallagher is a Professor at the Institut de Mathématiques de Jussieu Emmanuel Greiner is based at the École Normale Superiore de Lyon Tab Content 6Author Website:Countries AvailableAll regions |
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