Justification mathematique d'una equation integro-differentielle non lineaire pour un modele de flamme spherique

LEDERMAN, CLAUDIA; ROQUEJOFFRE, JEAN-MICHEL; WOLANSKI, NOEMÍ

COMPTES RENDUS DE L4ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE

Elsevier

Lugar: Paris; Año: 2002 vol. 334 p. 569 - 574

0764-4442

This Note is devoted to the justification of an asymptotic model for quasisteady three-dimensional spherical flames proposed by G. Joulin [7]. The paper [7] derives, by means of a three-scale matched asymptotic expansion, starting from the classical thermo-diffusive model with high activation energies, an integro-differential equation for the flame radius. In the derivation, it is essential for the Lewis Number - i.e. the ratio between thermal and molecular diffusion - to be strictly less than unity. In this Note, we give the main ideas of a rigorous proof of the validity of this model, under the additional restriction that the Lewis number is close to 1.