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Bifurcation, Pattern Formation, and Transition to Chaos in Combustion

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Bifurcation and Chaos: Analysis, Algorithms, Applications

Abstract

We study problems in the dynamics and pattern formation of both solid and gaseous fuel combustion. Our goal is to understand the basic mechanisms affecting the combustion process, which is a necessary prerequisite to controlling it. A related goal is to describe the spatio-temporal patterns that are observed experimentally as well as to predict new dynamical behavior, as yet unobserved. Thus we wish to determine the mechanisms of successive transitions to increasingly complex patterns of dynamical behavior, as parameters of the problem are varied. The problems are formulated as initial boundary-value problems for systems of highly nonlinear partial differential equations modeling the relevant combustion process.

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Author information

Authors and Affiliations

  1. Dept. of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL, 60208, USA

    A. Bayliss & B. J. Matkowsky

Authors
  1. A. Bayliss
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  2. B. J. Matkowsky
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Editor information

Editors and Affiliations

  1. Abteilung für Numerik, Universität Ulm, Oberer Eselsberg, D-7900, Ulm, Germany

    R. Seydel

  2. Institut für Physikalische Chemie, Universität Würzburg, Marcusstr. 9/11, D-8700, Würzburg, Germany

    F. W. Schneider

  3. Mathematisches Institut, Universität Köln, Weyertal 88, D-5000, Köln, Germany

    T. Küpper

  4. Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    H. Troger

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© 1991 Birkhäuser Verlag Basel

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Bayliss, A., Matkowsky, B.J. (1991). Bifurcation, Pattern Formation, and Transition to Chaos in Combustion. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_4

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  • DOI: https://doi.org/10.1007/978-3-0348-7004-7_4

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7006-1

  • Online ISBN: 978-3-0348-7004-7

  • eBook Packages: Springer Book Archive

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