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Table of contents

  1. Front Matter
    Pages i-ix
  2. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 1-4
  3. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 5-27
  4. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 29-48
  5. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 49-66
  6. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 67-92
  7. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 93-112
  8. Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual
    Pages 113-120
  9. Back Matter
    Pages 121-123

About this book

Introduction

In this text, modern applied mathematics and physical insight are used to construct the simplest and first nonlinear dynamical model for the Madden-Julian oscillation (MJO), i.e. the stochastic skeleton model. This model captures the fundamental features of the MJO and offers a theoretical prediction of its structure, leading to new detailed methods to identify it in observational data. The text contributes to understanding and predicting intraseasonal variability, which remains a challenging task in contemporary climate, atmospheric, and oceanic science. In the tropics, the Madden-Julian oscillation (MJO) is the dominant component of intraseasonal variability.

One of the strengths of this text is demonstrating how a blend of modern applied mathematical tools, including linear and nonlinear partial differential equations (PDEs), simple stochastic modeling, and numerical algorithms, have been used in conjunction with physical insight to create the model. These tools are also applied in developing several extensions of the model in order to capture additional features of the MJO, including its refined vertical structure and its interactions with the extratropics.

This book is of interest to graduate students, postdocs, and senior researchers in pure and applied mathematics, physics, engineering, and climate, atmospheric, and oceanic science interested in turbulent dynamical systems as well as other complex systems.

Keywords

Stochastic Skeleton Model Mathematics of Planet Earth Tropical Intraseasonal Variability Walker Circulation Stochastic Processes Madden-Julian oscillation MJO stochastic skeleton model

Authors and affiliations

  • Andrew J. Majda
    • 1
  • Samuel N. Stechmann
    • 2
  • Shengqian Chen
    • 3
  • H. Reed Ogrosky
    • 4
  • Sulian Thual
    • 5
  1. 1.Center for Prototype Climate Modeling NYU Abu Dhabi, Abu Dhabi, United Arab EmiratesDepartment of Mathematics, and Center for Atmosphere Ocean Science, Courant Institute of Mathematical Sciences, New York UniversityNew YorkUSA
  2. 2.Department of MathematicsUniversity of Wisconsin-MadisonMadisonUSA
  3. 3.Nanjing University of Information Science and TechnologyNanjingChina
  4. 4.Department of Mathematics and Applied MathematicsVirginia Commonwealth UniversityRichmond, VAChina
  5. 5.Department of Atmospheric and Oceanic SciencesFudan UniversityShanghaiChina

Bibliographic information