BIFURCATIONS OF TRAVELING WAVES IN A FLAM E PROPAGATION MODEL

Authors
GLANGETAS L ROQUEJOFFRE JM
Citation
L. Glangetas et Jm. Roquejoffre, BIFURCATIONS OF TRAVELING WAVES IN A FLAM E PROPAGATION MODEL, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(4), 1994, pp. 389-393
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
4
Year of publication
1994
Pages
389 - 393
Database
ISI
SICI code
0764-4442(1994)318:4<389:BOTWIA>2.0.ZU;2-T
Abstract
The thermo-diffusive model for flame propagation, with high activation energies and Lewis number close to one is considered. It has been sho wn by Sivashinsky, by means of formal arguments, that the plane wave s olutions were stable above a certain critical value of the Lewis numbe r, and then bifurcated into two-dimensional waves. A rigorous proof of this fact, as well as the stability of the two-dimensional waves, sti ll remained open problems; we provide here an answer to these two ques tions.