Introduction to Turbulent Dynamical Systems in Complex Systems / Frontiers in Applied Dynamical Systems: Reviews and Tutorials (PDF)
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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.
- Autor: Andrew J. Majda
- 2016, 1st ed. 2016, 91 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319322176
- ISBN-13: 9783319322179
- Erscheinungsdatum: 14.09.2016
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- Dateiformat: PDF
- Größe: 1.89 MB
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“This is a beautifully written research expository book on turbulent dynamical systems that arise in complex systems. … it contains a wealth of new information including many penetrating insights that are not available elsewhere systematically. … It belongs on the bookshelf of everybody who is seriously interested in turbulent dynamical systems in high-dimensional phase space and many related applied issues.” (Xiaoming Wang, Mathematical Reviews, July, 2017)
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