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On the existence of high Lewis number combustion fronts
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Ghazaryan, Anna and Jones, Christopher. (2012) On the existence of high Lewis number combustion fronts. Mathematics and Computers in Simulation, Vol.82 (No.6). pp. 1133-1141. ISSN 0378-4754
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Official URL: http://dx.doi.org/10.1016/j.matcom.2010.04.023
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.
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Mathematics and Computers in Simulation |
| Publisher: | Elsevier Science BV |
| ISSN: | 0378-4754 |
| Date: | 2012 |
| Volume: | Vol.82 |
| Number: | No.6 |
| Page Range: | pp. 1133-1141 |
| Identification Number: | 10.1016/j.matcom.2010.04.023 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/46900 |
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