Overview
- Editors:
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Paul C. Fife
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Department of Mathematics, The University of Utah, Salt Lake City, USA
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Amable Liñán
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Escuela de Ingenieros Aeronauticos, Ciudad Universitaria, Madrid, Spain
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Forman Williams
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Department of AMES, University of California, San Diego, La Jolla, USA
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Table of contents (10 papers)
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Front Matter
Pages i-xiii
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- Alvin Bayliss, Bernard J. Matkowsky
Pages 1-35
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- H. Berestycki, B. Larrouturou, J. M. Roquejoffre
Pages 37-61
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- A. Bourlioux, A. Majda, V. Roytburd
Pages 63-82
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- J. W. Dold, L. J. Hartley, D. Green
Pages 83-105
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- Andrew Majda, Kevin G. Lamb
Pages 167-211
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- G. S. Namah, C. Brauner, J. Buckmaster, C. Schmidt-Laine
Pages 229-239
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- D. Scott Stewart, Blaine W. Asay
Pages 241-257
About this book
This IMA Volume in Mathematics and its Applications DYNAMICAL ISSUES IN COMBUSTION THEORY 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 aim of this workshop was to cross-fertilize research groups working in topics of current interest in combustion dynamics and mathematical methods applicable thereto. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, George R. Sell, Paul Fife, Amable Liiian and Foreman Williams for organizing the meeting. We especially thank Paul Fife, Amable Liiilin and Foreman Williams 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 National Science Foundation and the Office of Naval Research. Avner Friedman Willard Miller, Jr. ix PREFACE The world ofcombustion phenomena is rich in problems intriguing to the math ematical scientist. They offer challenges on several fronts: (1) modeling, which involves the elucidation of the essential features of a given phenomenon through physical insight and knowledge of experimental results, (2) devising appropriate asymptotic and computational methods, and (3) developing sound mathematical theories. Papers in the present volume, which are based on talks given at the Workshop on Dynamical Issues in Combustion Theory in November, 1989, describe how all of these challenges have been met for particular examples within a number of common combustion scenarios: reactiveshocks, low Mach number premixed reactive flow, nonpremixed phenomena, and solid propellants.
Editors and Affiliations
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Department of Mathematics, The University of Utah, Salt Lake City, USA
Paul C. Fife
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Escuela de Ingenieros Aeronauticos, Ciudad Universitaria, Madrid, Spain
Amable Liñán
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Department of AMES, University of California, San Diego, La Jolla, USA
Forman Williams
