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Transactions of the American Mathematical Society

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

 

 

Traveling waves in combustion processes with complex chemical networks


Author: Steffen Heinze
Journal: Trans. Amer. Math. Soc. 304 (1987), 405-416
MSC: Primary 35K40; Secondary 80A25, 80A32
MathSciNet review: 906822
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1987-0906822-0
Article copyright: © Copyright 1987 American Mathematical Society