CUP, 2006. -565 pp. ISBN 0521834414.
This book is an introduction to the fascinating and important
interplay between non-linear dynamics and statistical theories for
geophysical flows. The book is designed for a multi-disciplinary
audience ranging from beginning graduate students to senior
researchers in applied mathematics as well as theoretically
inclined graduate students and researchers in atmosphere/ocean
science. The approach in
this book emphasizes the serendipity between physical phenomena and
mode applied mathematics, including rigorous mathematical
analysis, qualitative models, and numerical simulations. The book
includes more conventional topics for non-linear dynamics applied
to geophysical flows, such as long time selective decay, the effect
of large-scale forcing, non-linear stability and fluid flow on
the
sphere, as well as emerging contemporary research topics involving
applications of chaotic dynamics, equilibrium statistical
mechanics, and information theory.
Majda A.J, Wang X. Non-linear dynamics and statistical theories for basic geophysical flows
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