Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames;Justification mathématique d'une équation intégro-différentiele non linéaire pour un modèle de flamme sphérique

Comptes Rendus Mathematique

Volumn 334, Issue 7, 2002, Pages 569-574

  Lederman, Claudia ^a   Roquejoffre, Jean Michel ^b   Wolanski, Noemi ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053920     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02299-9     Document Type: Article

References (8)

1. J. Audounet, V. Giovangigli, J.-M. Roquejoffre, A threshold phenomenon in the propagation of a point source initiated flame, Phys. D 121 (1998) 295-316.
2. H. Berestycki, B. Larrouturou, Quelques aspects mathématiques de la propagation des flammes prémélangées, in: H. Brezis, Lions (Eds.), Collège de France Seminar, Vol. 10, Pitman-Longman, Harlow, UK, 1991.
3. J.D. Buckmaster, G. Joulin, P. Ronney, The effects of radiation on flame balls at zero gravity, Combustion and Flame 79 (1990) 381-392.
4. J.D. Buckmaster, G.S.S. Ludford, Theory of Laminar Flames, Cambridge University Press, Cambridge, 1982.
5. J. Fernandez Bonder, N. Wolanski, A free-boundary problem in combustion theory, Interfaces Free Bound 2 (2000) 381-411.
6. L. Glangetas, J.-M. Roquejoffre, Bifurcations of travelling waves in the thermo-diffusive model for flame propagation, Arch. Rational Mech. Anal. 134 (1996) 341-402.
7. G. Joulin, Point-source initiation of lean spherical flames of light reactants: an asymptotic theory, Comb. Sci. and Tech. 43 (1985) 99-113.
8. G. Joulin, Preferential diffusion and the initiation of lean flames of light fuels, SIAM J. Appl. Math. 47 (1987) 998-1016.