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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Traveling waves in combustion processes with complex chemical networks
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by Steffen Heinze PDF
Trans. Amer. Math. Soc. 304 (1987), 405-416 Request permission

Abstract:

The existence of traveling waves for laminar flames with complex chemistry is proved. The crucial assumptions are that all reactions have to be exothermic and that no cycles occur in the graph of the reaction network. The method is to solve the equations first in a bounded interval by a degree argument and then taking the infinite domain limit.
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 304 (1987), 405-416
  • MSC: Primary 35K40; Secondary 80A25, 80A32
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0906822-0
  • MathSciNet review: 906822