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This article is cited in 3 scientific papers (total in 3 papers)
Analytic-numerical investigation of combustion in a nonlinear medium
M. O. Korpusov, D. V. Lukyanenko, A. D. Nekrasov Faculty of Physics, Moscow State University, Moscow, Russia
Abstract:
Sufficient conditions of the onset of the blow-up mode for the parabolic equation with double nonlinearity that describes the combustion process in a nonlinear medium are analyzed. A sufficient condition for the initial function under which the time of the solution blow-up of the corresponding initial-boundary value problem for this equation is finite is obtained. An analytical upper bound on the solution existence time is derived. This a priori bound on the solution blow-up time is used for the numerical refinement of the blow-up process. It is shown that the numerical diagnostics of the solution blow-up makes it possible to obtained a better estimate of the solution blow-up time and detect the fact of local blow-up with respect to the spatial variable.
Key words:
combustion process, parabolic equation with double nonlinearity, analytical-numerical method.
Received: 10.10.2017
Citation:
M. O. Korpusov, D. V. Lukyanenko, A. D. Nekrasov, “Analytic-numerical investigation of combustion in a nonlinear medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1553–1563; Comput. Math. Math. Phys., 58:9 (2018), 1499–1509
Linking options:
https://www.mathnet.ru/eng/zvmmf10778 https://www.mathnet.ru/eng/zvmmf/v58/i9/p1553
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Abstract page: | 175 | References: | 34 |
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