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Dynamics of Internal Layers and Diffusive Interfaces

Dynamics of Internal Layers and Diffusive Interfaces

Part of CBMS-NSF Regional Conference Series in Applied Mathematics

  • Date Published: December 1988
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898712254


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About the Authors
  • Interfacial phenomena are commonplace in physics, chemistry, biology, and in various disciplines bridging these fields. They occur whenever a continuum is present which can exist in at least two different chemical or physical "states", and there is some mechanism which generates or enforces a spatial separation between these states. The separation boundary is then called an interface. In the examples studied here, the separation boundary, and its internal structure, result from the balance between two opposing tendencies: a diffusive effect which attempts to mix and smooth the properties of the material, and a physical or chemical mechanism which works to drive it to one or the other pure state. This volume is unique in that the treatment of flames, as well as internal layer dynamics "including curvature effects", is more detailed and systematic than in publications.

    Reviews & endorsements

    'This book is a good introduction to interfacial phenomena, making it marketable to libraries and those graduate students or research workers associated with this field. It is a sound reference book for these special topics.' S .I. Pai, Applied Mechanics Review

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    Product details

    • Date Published: December 1988
    • format: Paperback
    • isbn: 9780898712254
    • length: 100 pages
    • dimensions: 252 x 175 x 6 mm
    • weight: 0.188kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Internal layers: dynamics of internal layers
    Bistable fronts in an inhomogeneous medium
    Phase field models
    Flame theory: activation energy asymptotics for a one-step reaction
    Stability analysis of simple flames
    Flames due to chain branching
    Complex chemistry
    Electrophoresis: Models and problems
    Isoelectric focusing
    Waves in excitable and self-oscillatory media: One-dimensional problems
    Inhomogeneous media
    Curvature, corners, and twists
    Rotating waves.

  • Author

    Paul C. Fife, University of Utah

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