| Full text | |
| Author(s): |
Da Mota, J. C.
;
Santos, M. M.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 12, n. 2, p. 10-pg., 2011-04-01. |
| 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. (AU) | |
| FAPESP's process: | 07/51490-7 - Mathematical aspects of incompressible fluid dynamics |
| Grantee: | Milton da Costa Lopes Filho |
| Support Opportunities: | Research Projects - Thematic Grants |