Mathematical Geophysics

Language: English

Published by Oxford University Press, GB, 2006

019857133X / 9780198571339

Series: Book 3 of 16 - Oxford Lecture Series in Mathematics and Its Applications

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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.

Seller Inventory # LU-9780198571339

Title
Mathematical Geophysics
Author
Jean-Yves Chemin, Benoit Desjardins, Isabelle Gallagher, Emmanuel Grenier
Publisher
Oxford University Press, GB
Publication year
2006
Condition
New
Binding
Hardback
Language
English
ISBN 10
019857133X
ISBN 13
9780198571339
Item weight
540 grams
Series
Book 3 of 16: Oxford Lecture Series in Mathematics and Its Applications

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