Advection and Diffusion in Random Media : Implications for Sea Surface Temperature Anomalies
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Book Description
The book presents the foundations of the theory of turbulent transport within the context of stochastic partial differential equations. It serves to establish a firm connection between rigorous and non-rigorous results concerning turbulent diffusion. Mathematically all of the issues addressed in this book are concentrated around a single linear equation: stochastic advection-diffusion (transport) equation. There is no attempt made to derive universal statistics for turbulent flow. Instead emphasis is placed on a statistical description of a passive scalar (tracer) under given velocity statistics. An application concerning transport of sea surface temperature anomalies reconciles the developed theory and a highly practical issue of modern physical oceanography by using the newly designed inversion techniques which take advantage of powerful maximum likelihood and autoregressive estimators.
Audience: Graduate students and researchers in mathematics, fluid dynamics, and physical oceanography.
Advection and Diffusion in Random Media: Implications for Sea Surface Temperature Anomalies,L. Piterbarg,A. Ostrovskii,Springer,0792344502,Advanced,Analytic Mechanics (Mathematical Aspects),Differential Equations,Earth Sciences - Oceanography,Fluid Mechanics,Mathematical models,Mathematics,Numerical solutions,Ocean temperature,Oceanic mixing,Physics,Reaction-diffusion equations,Science,Science/Mathematics,Mathematics / Probability,Probability & statistics,Stochastics
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