TY - BOOK ID - 38746728 TI - Introduction to turbulent dynamical systems in complex systems PY - 2016 SN - 9783319322179 331932215X 3319322176 9783319322155 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - geofysica KW - dynamica KW - Geophysics KW - grafentheorie KW - systeemtheorie KW - Gases handling. Fluids handling KW - vloeistoffen KW - informatietheorie KW - Fluid mechanics KW - Ergodic theory. Information theory KW - Discrete mathematics KW - wiskunde KW - vloeistofstroming KW - Mathematics KW - Classical mechanics. Field theory KW - aerodynamica KW - Differentiable dynamical systems. KW - Physical geography. KW - Complex Systems. KW - Dynamical Systems and Ergodic Theory. KW - Geophysics/Geodesy. KW - Fluid- and Aerodynamics. KW - Geography KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Turbulence KW - 517.987 KW - 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems KW - Measures. Representations of Boolean algebras. Metric theory of dynamic systems KW - Mathematical models KW - Mathematical models. KW - System theory. KW - Dynamics. KW - Ergodic theory. KW - Geophysics. KW - Fluids. KW - Hydraulics KW - Mechanics KW - Physics KW - Hydrostatics KW - Permeability KW - Geological physics KW - Terrestrial physics KW - Earth sciences KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Statics KW - Systems, Theory of KW - Systems science KW - Science KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:38746728 AB - 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. ER -