Overview
- Authors:
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Leonid I. Piterbarg
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Center for Applied Mathematical Sciences, University of Southern California, Los Angeles, USA
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Alexander G. Ostrovskii
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Research Institute for Applied Mechanics, Kyushu University, Kasuga, Japan
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Table of contents (10 chapters)
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 1-23
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 25-41
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 43-70
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 71-101
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 103-117
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 119-144
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 145-177
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 179-190
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 191-233
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- Leonid I. Piterbarg, Alexander G. Ostrovskii
Pages 235-303
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Back Matter
Pages 305-330
About this book
This book originated from our interest in sea surface temperature variability. Our initial, though entirely pragmatic, goal was to derive adequate mathemat ical tools for handling certain oceanographic problems. Eventually, however, these considerations went far beyond oceanographic applications partly because one of the authors is a mathematician. We found that many theoretical issues of turbulent transport problems had been repeatedly discussed in fields of hy drodynamics, plasma and solid matter physics, and mathematics itself. There are few monographs concerned with turbulent diffusion in the ocean (Csanady 1973, Okubo 1980, Monin and Ozmidov 1988). While selecting material for this book we focused, first, on theoretical issues that could be helpful for understanding mixture processes in the ocean, and, sec ond, on our own contribution to the problem. Mathematically all of the issues addressed in this book are concentrated around a single linear equation: the stochastic advection-diffusion equation. There is no attempt to derive universal statistics for turbulent flow. Instead, the focus is on a statistical description of a passive scalar (tracer) under given velocity statistics. As for applications, this book addresses only one phenomenon: transport of sea surface temperature anomalies. Hopefully, however, our two main approaches are applicable to other subjects.
Authors and Affiliations
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Center for Applied Mathematical Sciences, University of Southern California, Los Angeles, USA
Leonid I. Piterbarg
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Research Institute for Applied Mechanics, Kyushu University, Kasuga, Japan
Alexander G. Ostrovskii
