Mathematical Problems from Combustion Theory

  • Jerrold Bebernes
  • David Eberly

Part of the Applied Mathematical Sciences book series (AMS, volume 83)

Table of contents

  1. Front Matter
    Pages i-x
  2. Jerrold Bebernes, David Eberly
    Pages 1-14
  3. Jerrold Bebernes, David Eberly
    Pages 15-46
  4. Jerrold Bebernes, David Eberly
    Pages 47-86
  5. Jerrold Bebernes, David Eberly
    Pages 88-106
  6. Jerrold Bebernes, David Eberly
    Pages 107-128
  7. Jerrold Bebernes, David Eberly
    Pages 129-161
  8. Back Matter
    Pages 162-178

About this book

Introduction

This monograph evolved over the past five years. It had its origin as a set of lecture notes prepared for the Ninth Summer School of Mathematical Physics held at Ravello, Italy, in 1984 and was further refined in seminars and lectures given primarily at the University of Colorado. The material presented is the product of a single mathematical question raised by Dave Kassoy over ten years ago. This question and its partial resolution led to a successful, exciting, almost unique interdisciplinary col­ laborative scientific effort. The mathematical models described are often times deceptively simple in appearance. But they exhibit a mathematical richness and beauty that belies that simplicity and affirms their physical significance. The mathe­ matical tools required to resolve the various problems raised are diverse, and no systematic attempt is made to give the necessary mathematical background. The unifying theme of the monograph is the set of models themselves. This monograph would never have come to fruition without the enthu­ siasm and drive of Dave Eberly-a former student, now collaborator and coauthor-and without several significant breakthroughs in our understand­ ing of the phenomena of blowup or thermal runaway which certain models discussed possess. A collaborator and former student who has made significant contribu­ tions throughout is Alberto Bressan. There are many other collaborators­ William Troy, Watson Fulks, Andrew Lacey, Klaus Schmitt-and former students-Paul Talaga and Richard Ely-who must be acknowledged and thanked.

Keywords

ITIES Ion Mathematica geometry model

Authors and affiliations

  • Jerrold Bebernes
    • 1
  • David Eberly
    • 2
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA
  2. 2.Department of MathematicsUniversity of TexasSan AntonioUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4546-9
  • Copyright Information Springer-Verlag New York 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8872-5
  • Online ISBN 978-1-4612-4546-9
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • About this book
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