Advection and Diffusion in Random Media: Implications for Sea Surface Temperature Anomalies
Author:   Leonid Piterbarg ,  A. Ostrovskii
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1997
ISBN:  

9781441947734


Pages:   330
Publication Date:   03 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Advection and Diffusion in Random Media: Implications for Sea Surface Temperature Anomalies


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Overview

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.

Full Product Details

Author:   Leonid Piterbarg ,  A. Ostrovskii
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1997
Weight:   0.528kg
ISBN:  

9781441947734


ISBN 10:   1441947736
Pages:   330
Publication Date:   03 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Problem Statement.- Scale Classification of Turbulent Diffusion Models.- Delta-Correlation Approximation.- Homogenization and Superdiffusion.- Finite Correlation Time.- The Inverse Problem: Maximum Likelihood Method.- Maximum Likelihood Estimators: Numerical Simulations.- The Inverse Problem: Autoregressive Estimators.- A Stochastic Model for SST Anomaly Transport.- Advection and Diffusion Inferred from SST Anomaly Time Series.

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