Tropical Intraseasonal Variability and the Stochastic Skeleton Method

1. Auflage 2019
ISBN: 978-3-030-22246-8
Verlag: Springer International Publishing

Buch, Englisch, 123 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g

Reihe: Mathematics of Planet Earth

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 alsoapplied 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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Majda, Andrew J.

Stechmann, Samuel N.

Thual, Sulian

Chen, Shengqian

Ogrosky, H. Reed

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Geowissenschaften Geologie Meteorologie, Klimatologie

Inhaltsverzeichnis

Introduction.- The deterministic skeleton model and observed features of the MJO.- A Stochastic Skeleton Model for the MJO.- Tropical–extratropical Interactions and the MJO Skeleton Model.- New indices for observations of tropical variability based on the skeleton model and a model for the Walker circulation.- Refined Vertical Structure in the Stochastic Skeleton Model for the MJO.- Current and Future Research Perspectives.