On the existence of high Lewis number combustion fronts

Anna Ghazaryan and Christopher Jones

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 6, 1133-1141

Abstract: We study a mathematical model for high Lewis number combustion processes with the reaction rate of the form of an Arrhenius law with or without an ignition cut-off. An efficient method for the proof of the existence and uniqueness of combustion fronts is provided by geometric singular perturbation theory. The fronts supported by the model with very large Lewis numbers are small perturbations of the front supported by the model with infinite Lewis number.

Keywords: Geometric singular perturbation theory; Combustion fronts; Ignition cut-off (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:6:p:1133-1141

DOI: 10.1016/j.matcom.2010.04.023

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