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Chaotic Processes in the Geological Sciences

Overview

The subject matter of chaos and nonlinear dynamics has begun to spread to the geological sciences in the last several years. The articles in this book are from a workshop held at the University of Minnesota in June 1990 in which well-renowned geophysicists, geologists and applied mathematicians were in attendance. There were three areas of focus in the workshop: thermal convection as applied to the earth's mantle, magmatic dynamics and processes in geodynamo. The nonlinear nature of convection was discussed ...
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317 pp. + color plates, Hardcover, ex library, spine faded else text clean and binding tight

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Overview

The subject matter of chaos and nonlinear dynamics has begun to spread to the geological sciences in the last several years. The articles in this book are from a workshop held at the University of Minnesota in June 1990 in which well-renowned geophysicists, geologists and applied mathematicians were in attendance. There were three areas of focus in the workshop: thermal convection as applied to the earth's mantle, magmatic dynamics and processes in geodynamo. The nonlinear nature of convection was discussed especially in light of recent advances made in the physics community of the phenomenon of hard-turbulent convection. This book is useful for graduate students and researchers in geophysics, applied mechanics, and applied mathematics. It should also be of interest to workers in other areas of thermal convection.
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Product Details

Table of Contents

Foreword
Preface
Turbulent thermal convection 1
Spherical symmetry-breaking bifurcations and thermal convection in the earth's mantle 11
Convection and chaos 43
Strongly chaotic Newtonian and non-Newtonian mantle convection 71
Routes to chaos in the solid earth 89
Mantle phase transitions, layered chaotic convection and the viscosity of the deep mantle 111
Vigorous motions in magma chambers and lava lakes 141
The eruption and spreading of lava 175
Modeling transport processes in nonlinear systems: The example of solidification and convection 205
Convection in porous media with thermal and chemical buoyancy: A comparison of two models for solute dispersion 225
Dynamo theory 237
Theory of the geodynamo and core-mantle coupling 281
Nonlinear dynamical models for earthquakes and frictional sliding 293
The spatial structure of isotropic turbulence and the related three-dimensional graphics problems 305
Other titles and abstracts 313
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