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Chaotic Processes in the Geological Sciences

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. David A. Yuen

    1. Minnesota Supercomputer Institute, Army High Performance Computing and Research Center, University of Minnesota, Minneapolis, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 41)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-xiii
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  2. Turbulent Thermal Convection

    • S. Balachandar
    Pages 1-10

  3. Spherical Symmetry-Breaking Bifurcations and Thermal Convection in the Earth’s Mantle

    • Pascal Chossat, Cheryl A. Stewart
    Pages 11-42

  4. Convection and Chaos

    • A. C. Fowler
    Pages 43-69

  5. Strongly Chaotic Newtonian and Non-Newtonian Mantle Convection

    • David A. Yuen, Andrei V. Malevsky
    Pages 71-88

  6. Routes to Chaos in the Solid Earth

    • Donald L. Turcotte, Cheryl A. Stewart, Jie Huang
    Pages 89-109

  7. Mantle Phase Transitions, Layered Chaotic Convection, and the Viscosity of the Deep Mantle

    • W. R. Peltier, L. P. Solheim
    Pages 111-139

  8. Vigorous Motions in Magma Chambers and Lava Lakes

    • Herbert E. Huppert, M. Grae Worster
    Pages 141-173

  9. The Eruption and Spreading of Lava

    • Claude Jaupart
    Pages 175-203

  10. Modeling Transport Processes in Nonlinear Systems: The Example of Solidification and Convection

    • Curtis M. Oldenburg, Frank J. Spera
    Pages 205-224

  11. Convection in Porous Media with Thermal and Chemical Buoyancy: A Comparison of Two Models for Solute Dispersion

    • N. D. Rosenberg, F. J. Spera
    Pages 225-235

  12. Dynamo Theory

    • Paul H. Roberts
    Pages 237-280

  13. Theory of the Geodynamo and Core-Mantle Coupling

    • F. H. Busse
    Pages 281-292

  14. Nonlinear Dynamical Models for Earthquakes and Frictional Sliding

    • John B. Rundle
    Pages 293-303

  15. The Spatial Structure of Isotropic Turbulence and the Related Three-Dimensional Graphics Problems

    • A. Vincent, M. Meneguzzi, J. D. Villasenor
    Pages 305-311

  16. Back Matter

    Pages 313-317
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Keywords

About this book

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.

Editors and Affiliations

  • Minnesota Supercomputer Institute, Army High Performance Computing and Research Center, University of Minnesota, Minneapolis, USA

    David A. Yuen

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