Advection and Diffusion in Random Media

Implications for Sea Surface Temperature Anomalies

  • Leonid I. Piterbarg
  • Alexander G. Ostrovskii

Table of contents

  1. Front Matter
    Pages i-xii
  2. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 1-23
  3. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 25-41
  4. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 43-70
  5. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 71-101
  6. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 103-117
  7. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 119-144
  8. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 145-177
  9. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 179-190
  10. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 191-233
  11. Leonid I. Piterbarg, Alexander G. Ostrovskii
    Pages 235-303
  12. Back Matter
    Pages 305-330

About this book

Introduction

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.

Keywords

Ocean Oceanography fluid dynamics partial differential equation statistics

Authors and affiliations

  • Leonid I. Piterbarg
    • 1
  • Alexander G. Ostrovskii
    • 2
  1. 1.Center for Applied Mathematical SciencesUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Research Institute for Applied MechanicsKyushu UniversityKasugaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4458-3
  • Copyright Information Springer-Verlag US 1997
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4773-4
  • Online ISBN 978-1-4757-4458-3
  • About this book