ENGLISH

Mathematical geophysics

By Jean-Yves Chemin , Benoit Desjardins , Isabelle Gallagher , Emmanuel Grenier

Book information

Publisher
Oxford University Press, USA
Year
2006
ISBN
019857133X, 9780198571339, 9780191513893
LCC
QA925 .M38 2006
Open Library ID
OL22727772M
Language
english
Format
PDF
Filesize
1 MB (1254281 bytes)
Series
Oxford Lecture Series in Mathematics and Its Applications
Edition
OUP
Pages
262\262
Topic
Physics Geophysics
Library
Kolxo3
Time added
2009-07-20 03:45:11
Горно-геологическая отрасль;Геофизика;Теория обраб

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 analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three 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 analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated 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.

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