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Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows - Hardcover

 
9780521834414: Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows

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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.

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About the Authors

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.

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ISBN 10: 0521834414 ISBN 13: 9780521834414
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ISBN 10: 0521834414 ISBN 13: 9780521834414
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Published by Cambridge University Press, 2006
ISBN 10: 0521834414 ISBN 13: 9780521834414
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Hardcover. Condition: new. Hardcover. 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. This introduction to the important interplay between nonlinear dynamics and statistical theories for geophysical flows is designed for a multi-disciplinary audience ranging from graduate students to senior researchers. Novel applications of information theory are utilized to simplify, unify, and compare the equilibrium statistical theories. Topics and related background concepts are introduced and developed through elementary examples and discussion throughout the text as they arise. No previous background in geophysical flows is needed to read the text. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521834414

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