Volume 5, 1998Fractional Differential Systems: Models, Methods and Applications
|Page(s)||15 - 27|
|Published online||15 August 2002|
An asymptotic fractional differential model of spherical flame
UFR MIG, UMR C.N.R.S. 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse cedex, France
This paper is devoted to the analysis and numerical simulation of a model of initiation of a small spherical flame by a point source derived by G. Joulin. This asymptotical model for large activation energies gives the radius of the flame as the solution of a nonlinear Abel integral equation of the second type. The analysis (existence, uniqueness, qualitative comportement and power threshold) and one step numerical simulation use both classical integral equation tools and diffusive representation.
© EDP Sciences, ESAIM, 1998
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