Abstract:
In this paper we consider the following problem arising in combustion theory: (Equation presented) where D ∪ ℝN+1, fϵ(s)1/ϵ2f (s/ϵ) with f a Lipschitz continuous function with support in (-∞,1] Here νϵ is the mass fraction of some reactant, uϵ the rescaled temperature of the mixture and ϵ is essentially the inverse of the activation energy. This model is derived in the framework of the theory of equi-diffusional premixed flames for Lewis number 1. We prove that, under suitable assumptions on the functions uϵ and νϵ, we can pass to the limit (ϵ → 0).the so-called high-activation energy limit.and that the limit function u = lim uϵ = lim νϵ is a solution of the following free-boundary problem: (Equation presented) in a pointwise sense at regular free-boundary points and in a viscosity sense. Here M(x, t) = f1-w0(x, t)(s + w0(x, t)) f (s) ds and -1 < w0 = limϵ-0 νϵ-uϵ/ϵ. Since νϵ-uϵ is a solution of the heat equation, it is fully determined by its initial-boundary datum. in particular, the free-boundary condition only (but strongly) depends on the approximation of the initial-boundary datum. Moreover, if D ⊂ ∂{u > 0} is a Lipschitz surface, u is a classical solution to (0.1). © Oxford University Press 2000.
Referencias:
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Citas:
---------- APA ----------
Bonder, J.F. & Wolanski, N.
(2000)
. A free-boundary problem in combustion theory. Interfaces and Free Boundaries, 2(4), 381-411.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14639963_v2_n4_p381_Bonder [ ]
---------- CHICAGO ----------
Bonder, J.F., Wolanski, N.
"A free-boundary problem in combustion theory"
. Interfaces and Free Boundaries 2, no. 4
(2000) : 381-411.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14639963_v2_n4_p381_Bonder [ ]
---------- MLA ----------
Bonder, J.F., Wolanski, N.
"A free-boundary problem in combustion theory"
. Interfaces and Free Boundaries, vol. 2, no. 4, 2000, pp. 381-411.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14639963_v2_n4_p381_Bonder [ ]
---------- VANCOUVER ----------
Bonder, J.F., Wolanski, N. A free-boundary problem in combustion theory. Interfaces Free Boundaries. 2000;2(4):381-411.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14639963_v2_n4_p381_Bonder [ ]