Advection and Diffusion in Random Media: Implications for Sea Surface Temperature Anomalies
Author:   Leonid Piterbarg ,  A. Ostrovskii
Publisher:   Springer
Edition:   1997 ed.
ISBN:  

9780792344506


Pages:   330
Publication Date:   31 March 1997
Format:   Hardback
Availability:   In Print   Availability explained
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Advection and Diffusion in Random Media: Implications for Sea Surface Temperature Anomalies


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Overview

The work 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.

Full Product Details

Author:   Leonid Piterbarg ,  A. Ostrovskii
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.470kg
ISBN:  

9780792344506


ISBN 10:   0792344502
Pages:   330
Publication Date:   31 March 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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