Introduction to Turbulent Dynamical Systems in Complex Systems

  • Andrew J. Majda

Table of contents

  1. Front Matter
    Pages i-xi
  2. Andrew J. Majda
    Pages 1-4
  3. Back Matter
    Pages 85-91

About this book

Introduction

This volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling, and novel numerical procedures driven by the goal of understanding physical phenomena which are of central importance to the field. The contents cover general framework, concrete examples, and instructive qualitative models. Accessible open problems are mentioned throughout.

Topics covered include:

·         Geophysical flows with rotation, topography, deterministic and random forcing

·         New statistical energy principles for general turbulent dynamical systems, with applications

·         Linear statistical response theory combined with information theory to cope with model errors

·         Reduced low order models

·         Recent mathematical strategies for online data assimilation of turbulent dynamical systems as well as rigorous results for finite ensemble Kalman filters

The volume will appeal to graduate students and researchers working mathematics, physics and engineering and particularly those in the climate, atmospheric and ocean sciences interested in turbulent dynamical as well as other complex systems.

Keywords

Applied mathematics Climate and atmospheric sciences Dynamical systems Geoscience enginering complex systems data assimilation, filtering

Authors and affiliations

  • Andrew J. Majda
    • 1
  1. 1.New York UniversityNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-32217-9
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-32215-5
  • Online ISBN 978-3-319-32217-9
  • Series Print ISSN 2364-4532
  • Series Online ISSN 2364-4931
  • About this book