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Mathematical Geophysics

Mathematical Geophysics
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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 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.

Product Attributes:
  • Book Format : Hardcover
  • Number of Pages : 0250
  • Publisher : Oxford University Press
  • Series Part : 32

Specifications

Brand Oxford University Press
Manufacturer Oxford University Press
MPN 9780198571339
Base SKU UBM9780198571339
ISBN 019857133X

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