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The singular perturbation approach to flame theory with chain and competing reactions

Part of the Lecture Notes in Mathematics book series (LNM,volume 964)

Keywords

  • Stable Manifold
  • Flame Propagation
  • High Activation Energy
  • Premix Flame
  • Flame Structure

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Bibliography

  1. J. Buckmaster and G. S. S. Ludford 1982, Theory of Laminar Flames, Cambridge University Press, New York.

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  2. P. C. Fife 1982, Propagating fronts in reactive media, in: Nonlinear Problems, Present and Future, A. Bishop, D. Campbell, B. Nicolaenko, eds., North-Holland.

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  3. P. Fife and B. Nicolaenko 1982, Two-reaction flame propagation, in preparation.

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  4. A. Kapila and G. S. S. Ludford 1977, Two-step sequential reactions for large activation energies, Combustion and Flame, 167–176.

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  5. A. Liñan 1971, A theoretical analysis of premixed flame propagation with an isothermal chain reaction, Tech. Report, Inst. Nac. Tec. Aerospacial "Esteban Terradas", Madrid.

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  6. S. B. Margolis 1982, Lean flame propagation with competing chemical reactions, Combust. Sci. and Technol., to appear.

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  7. S. B. Margolis and M. J. Matkowsky 1981, Flame propagation with multiple fuels, SIAM J. Appl. Math., to appear.

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  8. S. B. Margolis and B. J. Matkowsky 1981, Flame propagation with a sequential reaction mechanism, SIAM J. Appl. Math., to appear.

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© 1982 Springer-Verlag

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Fife, P.C., Nicolaenko, B. (1982). The singular perturbation approach to flame theory with chain and competing reactions. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065001

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  • DOI: https://doi.org/10.1007/BFb0065001

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

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