Abstract
The relation between the phenomenon of delayed loss of stability in singularly perturbed differential equations and the estimation of the maximum temperature of safe combustion is investigated. Using the methods of the qualitative theory of singular perturbations and the theory of canards, we determine the maximum temperature during the transition regime between the slow combustion regimes and the thermal explosion.
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Original Russian Text © E.S. Golodova, E.A. Shchepakina, 2008, published in Matematicheskoe Modelirovanie, 2008, Vol. 20, No. 5, pp. 55–68.
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Golodova, E.S., Shchepakina, E.A. Modeling of safe combustion at the maximum temperature. Math Models Comput Simul 1, 322–334 (2009). https://doi.org/10.1134/S207004820902015X
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DOI: https://doi.org/10.1134/S207004820902015X