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The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.
Geophysics --- Fluid mechanics. --- Fluid dynamics. --- Statistical mechanics. --- Géophysique --- Mécanique des fluides --- Fluides, Dynamique des --- Mécanique statistique --- Fluid models. --- Mathematical models. --- Modèles de fluides --- Modèles mathématiques --- Géophysique --- Mécanique des fluides --- Mécanique statistique --- Modèles de fluides --- Modèles mathématiques --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Dynamics --- Fluid mechanics --- Hydromechanics --- Continuum mechanics --- Fluid models in geophysics --- Rotating dishpan --- Fluides, Mécanique des --- Mécanique des fluides. --- Mécanique des fluides.
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This volume collects a number of theoretical and experimental lectures on various aspects of transport and mixing of active and passive particles in geophysical flows. Transports in fluids can be approached from two complementary perspectives: in the Eulerian view of mixing, the focus is on the concentration field - advection stetches and folds the concentration field and sharpens the gradients, while diffusion smoothes the field. In the Langrangian view, fluid parcels are followed around as they move with the flow, experiencing chaotic or stochastic motion. Both pictures are considered in the present lectures, with passive particles carried freely by the flow and reactive particles, where chemically or biologically induced reactions change the character of the particles.
Geophysics --- Fluid dynamics. --- Géophysique --- Fluides, Dynamique des --- Fluid models. --- Mathematical models. --- Modèles de fluides --- Modèles mathématiques --- Fluid dynamics --- Cosmic Physics --- Physics --- Physical Sciences & Mathematics --- Fluid models --- Mathematical models --- Geological physics --- Terrestrial physics --- Fluid models in geophysics --- Rotating dishpan --- Earth sciences. --- Geophysics. --- Atmospheric sciences. --- Fluids. --- Environmental sciences. --- Earth Sciences. --- Geophysics/Geodesy. --- Fluid- and Aerodynamics. --- Atmospheric Sciences. --- Environmental Physics. --- Dynamics --- Fluid mechanics --- Earth sciences --- Physical geography. --- Geography --- Environmental science --- Science --- Atmospheric sciences --- Atmosphere --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability
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