Frontiers in Applied Dynamical Systems: Reviews and Tutorials

Introduction to Turbulent Dynamical Systems in Complex Systems

Authors: Majda, Andrew

  • Covers the latest techniques and advances in the mathematical theory of turbulent dynamical systems
  • First of its kind to discuss these important issues from a modern applied mathematics perspective.
  • Written by one of the top international researchers in the field.
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-32217-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-32215-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (5 chapters)

  • Introduction

    Majda, Andrew J.

    Pages 1-4

  • Prototype Examples of Complex Turbulent Dynamical Systems

    Majda, Andrew J.

    Pages 5-11

  • The Mathematical Theory of Turbulent Dynamical Systems

    Majda, Andrew J.

    Pages 13-41

  • Statistical Prediction and UQ for Turbulent Dynamical Systems

    Majda, Andrew J.

    Pages 43-63

  • State Estimation, Data Assimilation, or Filtering for Complex Turbulent Dynamical Systems

    Majda, Andrew J.

    Pages 65-83

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-32217-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-32215-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Turbulent Dynamical Systems in Complex Systems
Authors
Series Title
Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Series Volume
5
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-32217-9
DOI
10.1007/978-3-319-32217-9
Softcover ISBN
978-3-319-32215-5
Series ISSN
2364-4532
Edition Number
1
Number of Pages
XI, 91
Number of Illustrations and Tables
9 illustrations in colour
Topics