GASLESS COMBUSTION FRONTS WITH HEAT LOSS

Ghazaryan, A. and Schecter, S. and Simon L., Péter (2013) GASLESS COMBUSTION FRONTS WITH HEAT LOSS. SIAM JOURNAL ON APPLIED MATHEMATICS, 73 (3). pp. 1303-1326. ISSN 0036-1399

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Abstract

For a model of gasless combustion with heat loss, we use geometric s ingular perturbation theory to show existence of traveling combustion fr onts. We show that the fronts are nonlinearly stable in an appropriate sense if an Evans fun ction criterion, which can be verified numerically, is satisfied. For a solid reactant and exot hermicity parameter that is not too large, we verify numerically that the criterion is satisfi ed.

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