Overview

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.

Full Product Details

9783319322155

Table of Contents

Reviews

This research monograph presents recent mathematical results in the field of turbulent dynamical systems. ... Numerous references are cited. The book is certainly of some interest for graduate students and researchers in the field of mathematical modeling of geophysical flows. (Kai Schneider, zbMATH 1377.37003, 2018)

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available