Existence of two travelling wave solutions for a combustion model with heat losses;Existence de deux solutions du type front progressif pour un modèle de combustion avec pertes de chaleur

Comptes Rendus Mathematique

Volumn 340, Issue 7, 2005, Pages 493-497

  Roques, Lionel ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15944398590     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.02.023     Document Type: Article

References (7)

1. H. Berestycki B. Nicolaenko B. Scheurer Traveling wave solutions to combustion models and their singular limits SIAM J. Math. Anal. 16 1985 1207-1242
2. A. Bonnet Non-uniqueness for flame propagation when Lewis number is less than 1 Eur. J. Appl. Math. 6 1995 287-306
3. V. Giovangigli Nonadiabatic plane laminar flames and their singular limits SIAM J. Math. Anal. 21 5 1990 1305-1325
4. L. Glangetas, J.M. Roquejoffre, Rigorous derivation of the dispersion relation in a combustion model with heat losses, Preprint, Publications du Laboratoire d'Analyse Numérique R95032, 1995
5. M. Marion Qualitative properties of a nonlinear system for laminar flames without ignition temperature Nonlin. Anal. Theory Meth. Appl. 9 11 1985 1269-1292
6. P.H. Rabinowitz Pairs of positive solutions of nonlinear elliptic boundary value problems Indiana Univ. Math. J. 23 1974 729-754
7. Ya.B. Zel'dovich A theory of the limit of slow flame propagation Zh. Prikl. Mekh. i Tekhn. Fiz. 11 1 1941 159-169