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Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows by Andrew Majda

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9780521834414
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9780521834414
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Description

The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.

How nonlinear dynamics and statistical mechanics can be applied to geophysical fluid dynamics.

About the Author
Andrew J. Majda is the Morse Professor of Arts and Sciences at the Courant Institute of New York University. Xiaoming Wang is an Associate Professor in the Department of Mathematics at Iowa State University.

Reviews
'... this book is a valuable contribution to the fascinating intersection of applied mathematics and geophysical fluid dynamics. ... The authors are adept at illuminating and motivating rigorous mathematical analysis, qualitative models and physical intuition through exceptionally lucid exposition and a rich collection of examples.' Mathematical Reviews



Book Information
ISBN 9780521834414
Author Andrew Majda
Format Hardback
Page Count 564
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 1253g
Dimensions(mm) 253mm * 180mm * 30mm

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