References
- Bayliss , A. , Matkowski , B. J. , and Minkoff , M. ( 1989 ). Cascading cellular flames. SIAM J. Appl. Math. , 49 , 1421‐2.
- Bayliss , A. and Matkowsky , B. ( 1990 ). Two routes to chaos in solid fuel combustion. SIAM J, Appl. Math. , 50 , 437 ‐59.
- Benkhaldoun , F. , Denet , B. , and Larrouturou , B. ( 1989 ). Numerical investigation of the extinction limit of curved flames. Combust. Sci. Tech. , 64 , 187 .
- Berestycki , H. , Larrouturou , B. , and Lions , P. L. ( 1990 ). Multi‐dimensional traveling‐wave solutions of a flame propagation model, Archive for Rational Mechanics and Analysis 111 , 33 ‐ 9 .
- Booty , M. R. , Matalon , M. and Matkowsky , B. J. ( 1988 ). SIAM J. Appl. Math. , 48 , 519 ‐35.
- Buckmaster , J. D. and Ludford , G. S. S. ( 1982 ). Theory of Laminar Flames, Cambridge University Press, :Cambridge.
- Dimitriou , P. , Puszynski , J. , and Hlavacek , V. ( 1989 ). On the dynamics of equations describing gasles combustion in condensed systems. Combust. Sci. Tech. 68 , 101 ‐11.
- Frankel , M. L. ( 1989 ). On the nonlinear dynamics of flame fronts in condensed combustion matter. Physics Letters A , 140 ,405‐10.
- Frankel , M. L. ( 1991 ). Qualitative approximation of oscillatory flames in premixed gas combustion by a local equation of front dynamics. SIAM J. on Appl. Math., to appear. ,
- Gulliard , H. , Larrouturou , B. , and Maman , N. 1987 ). Etude numè instabilités cellulaires of d'un front de flamme par une mèthode pseudo‐speclrale. Rapport INRA 721.
- Joulin , G. and Sivashinsky , G. I. ( 1988 ). Instability‐induced quenching of plane nonadiabatic flames. Combust. Sci. Tech. , 57 , 37 ‐3.
- Larrouturou , B. ( 1986 ) . Adaptive numerical methods for unsteady flame propagation , in “ Reacting Flows: Combustion and Chemical Reactors ”, G. S. S. Ed. Lectures in Applied Mathematics 24 , 415 ‐ 35 .
- Matkowsky , B. J. and Sivashinsky , G. I. ( 1978 ). Propagation of a pulsating reaction front in solid fuel combustion. SIAM J. Appl. Math. , 35 , 465 ‐78.
- Matkowsky , B. J. and Sivashinsky , G. I. ( 1979 ). An asymptotic derivation of two models in flame theory associated with the constant density approximation. SIAM J. Appl. Math. , 37 , 687 ‐97.
- Sivashinsky , G. I. ( 1980 ). On flame propagation under conditions of stoichiometry. SIAM J. Appl. Math. , 35 , 465 ‐78.
- Williams , F. A. ( 1985 ). Combustion Theory. New York : Benjamin/Cummings.