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Advection and Diffusion in Random Media - Implications for Sea Surface Temperature Anomalies (Hardcover, 1997 ed.)
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Advection and Diffusion in Random Media - Implications for Sea Surface Temperature Anomalies (Hardcover, 1997 ed.)
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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."
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