Chaotic Processes in the Geological Sciences

Front Cover
David A. Yuen
Springer Science & Business Media, Dec 6, 2012 - Science - 317 pages
This IMA Volume in Mathematics and its Applications CHAOTIC PROCESSES IN THE GEOLOGICAL SCIENCES is based on the proceedings of a workshop which was an integral part of the 1989- 90 IMA program on "Dynamical Systems and their Applications". The workshop was intended to be an arena for scientific exchanges between earth scientists and mathematical researchers, especially with experts in dynamical systems. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, George R. Sell and David Yuen for organizing the meeting. We especially thank David Yuen for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the Minnesota Supercomputer Institute, the National Science Foundation, and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE The problems in geological sciences have many nonlinearities from the nature of the complicated physical laws which give rise to strongly chaotic behavior. Foremost and most visible are earthquakes and volcanic eruptions, more subtle are the time dependent variations of the Earth's magnetic fields and motions of the surface plates.
 

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Contents

Color Plates Following page 162
1
Convection and chaos
43
Strongly chaotic Newtonian and nonNewtonian
70
Routes to chaos in the solid earth
89
Mantle phase transitions layered chaotic convection
111
Vigorous motions in magma chambers and lava lakes 141
140
The eruption and spreading of lava
175
Convection in porous media with thermal
225
Theory of the geodynamo and coremantle coupling
281
The spatial structure of isotropic turbulence
304
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