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Singularities and Oscillations

  • Jeffrey Rauch
  • Michael Taylor
Conference proceedings

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 91)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Claude Bardos, Tawfik Masrour, Frederic Tatout
    Pages 1-16
  3. Phillipe Donnat, Jeffrey Rauch
    Pages 17-35
  4. Robert T. Glassey, John K. Hunter, Yuxi Zheng
    Pages 37-60
  5. J. L. Joly, G. Métivier, J. Rauch
    Pages 79-95
  6. Michael E. Taylor
    Pages 97-135
  7. Back Matter
    Pages 153-158

About these proceedings

Introduction

This IMA Volume in Mathematics and its Applications SINGULARITIES AND OSCILLATIONS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1994-1995 IMA program on "Waves and Scattering. " We would like to thank Joseph Keller, Jeffrey Rauch, and Michael Taylor for their excellent work as organizers of the meeting. We would like to express our further gratitude to Rauch and Taylor, who served as editors of the proceedings. We also take this opportunity to thank the National Science Foun­ dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. Avner Friedman Robert Gulliver v PREFACE Thestudyofsingularitiesand oscillationsofwaves has progressed along several fronts. A key common feature is the presence of a small scale in the solutions. Recent emphasis has been on nonlinear waves. Nonlinear problems are generally less amenable than linear problems to broad unified approaches. As a result there is a justifiable tendency to concentrate on problems of particular geometric or physical interest. This volume con­ tains a multiplicity of approaches brought to bear on problems varying from the formation ofcaustics and the propagation ofwaves at a boundary to the examination ofviscous boundary layers. There is an examination of the foundations of the theory of high-frequency electromagnetic waves in a dielectric or semiconducting medium. Unifying themes are not entirely absent from nonlinear analysis.

Keywords

Microlocal analysis Oscillation Wave analysis electromagnetic wave optics wave equation

Editors and affiliations

  • Jeffrey Rauch
    • 1
  • Michael Taylor
    • 2
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsUniversity of North Carolina, Chapel HillChapel HillUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1972-9
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7362-2
  • Online ISBN 978-1-4612-1972-9
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site
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