Gasless Combustion Fronts with Heat Loss

• Autores: Anna Ghazaryan, Stephen Schecter, Peter L. Simon
• Localización: Siam journal on applied mathematics, ISSN 0036-1399, Vol. 73, Nº 3, 2013, págs. 1303-1326
• Idioma: inglés
• DOI: 10.1137/110854540
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• Resumen

  • For a model of gasless combustion with heat loss, we use geometric singular perturbation theory to show existence of traveling combustion fronts. We show that the fronts are nonlinearly stable in an appropriate sense if an Evans function criterion, which can be verified numerically, is satisfied. For a solid reactant and exothermicity parameter that is not too large, we verify numerically that the criterion is satisfied