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Mathematical Geophysics

An introduction to rotating fluids and the Navier-Stokes equations

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Clarendon Press


Paru le : 2006-04-13



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Description
Aimed 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.
Pages
n.c
Collection
n.c
Parution
2006-04-13
Marque
Clarendon Press
EAN papier
9780191513893
EAN PDF
9780191513893
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
0
Taille du fichier
1526 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
122,94 €
Jean-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

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