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Type: Artigo de periódico
Title: An application of the monotone iterative method to a combustion problem in porous media
Author: Da Mota, JC
Santos, MM
Abstract: Problems related to combustion fronts in porous media have been studied by many authors recently, see e.g. [Y. Akkutlu, Y.C. Yortsos, The dynamics of in-situ combustion fronts in porous media, Combust. Flame 134 (2003) 239-247; J.C. da Mora, W. Dantas, D. Marchesin, Combustion fronts in porous media, SIAM J. Appl. Math. 62 (2002) 2175-2198; D.A. Schult, B.J. Matkowsky, V.A. Volpert, A.C. Fernandez-Pello, Forced forward smolder combustion, Combust. Flame 104 (1996) 1-26]. Most of this interest is due to the combustion process for oil recovery. In this paper we construct monotone iteractions for a Cauchy problem arising from a combustion model in a porous medium derived in U.C. da Mota, S. Schecter, Combustion fronts in a porous medium with two layers, J. Dynam. Differential Equations [8 (3) (2006) 615-665]. We conclude that the monotone iteractions converge to a unique solution of this Cauchy problem. globally in time. (C) 2010 Elsevier Ltd. All rights reserved.
Subject: Reaction-diffusion-convection system
Upper-lower solutions
Porous medium
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.nonrwa.2010.09.012
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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