Abstract
We obtain asymptotic representations at zero and infinity for the solution of the main problem of the integral theory of fire in a room with a single opening, compute the initial height of the equal pressure plane, and derive conditions under which the one-sided operation mode of the opening can be implemented.
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Koshmarov, Yu.A., Prognozirovanie opasnykh faktorov pozhara v pomeshchenii (Prediction of Dangerous Factors of Indoor Fire), Moscow: Akademiya GPS, 2000.
Hartman, Ph., Ordinary Differential Equations, New York, 1969. Translated under the title Obyknovennye differentsial’nye uravneniya, Moscow, 1970.
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Original Russian Text © A.K. Demenchuk, E.K. Makarov, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 1, pp. 23–28.
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Demenchuk, A.K., Makarov, E.K. Asymptotics of the solution of the main problem of the integral fire theory. Diff Equat 46, 24–29 (2010). https://doi.org/10.1134/S0012266110010040
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DOI: https://doi.org/10.1134/S0012266110010040