no. 4
Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion
Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 4, pp. 1207-1222. 
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     title = {Pulsating {Traveling} {Waves} in the {Singular} {Limit} of a {Reaction-Diffusion} {System} in {Solid} {Combustion}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1207--1222},
     publisher = {Elsevier},
     volume = {26},
     number = {4},
     year = {2009},
     doi = {10.1016/j.anihpc.2008.09.002},
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}
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Monneau, R.; Weiss, G. S. Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 4, pp. 1207-1222. doi : 10.1016/j.anihpc.2008.09.002. http://www.numdam.org/articles/10.1016/j.anihpc.2008.09.002/

[1] Bayliss A., Matkowsky B. J., Aldushin A. P., Dynamics of Hot Spots in Solid Fuel Combustion, Physica D 166 (1-2) (2002) 104-130. | MR | Zbl

[2] Berestycki H., Hamel F., Front Propagation in Periodic Excitable Media, Comm. Pure Appl. Math. 55 (8) (2002) 949-1032. | MR | Zbl

[3] Berestycki H., Nicolaenko B., Scheurer B., Traveling Wave Solutions to Combustion Models and Their Singular Limits, SIAM J. Math. Anal. 16 (6) (1985) 1207-1242. | MR | Zbl

[4] A. Bonnet, E. Logak, Instability of travelling waves in solid combustion for high activation energy, Preprint.

[5] Duchon J., Robert R., Évolution D'une Interface Par Capillarité Et Diffusion De Volume. I. Existence Locale En Temps, Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (5) (1984) 361-378. | Numdam | MR | Zbl

[6] Ladyženskaja O. A., Solonnikov V. A., Ural'Ceva N. N., Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, vol. 23, American Mathematical Society, Providence, RI, 1967, Translated from the Russian by S. Smith. | MR | Zbl

[7] Logak E., Loubeau V., Travelling Wave Solutions to a Condensed Phase Combustion Model, Asymptotic Anal. 12 (4) (1996) 259-294. | MR | Zbl

[8] Matkowsky B. J., Sivashinsky G. I., Propagation of a Pulsating Reaction Front in Solid Fuel Combustion, SIAM J. Appl. Math. 35 (3) (1978) 465-478. | MR | Zbl

[9] Monneau R., Weiss G. S., Self-Propagating High Temperature Synthesis in the High Activation Energy Regime, Acta Math. Univ. Comenian. 76 (1) (2007) 99-109. | MR | Zbl

[10] Rodrigues J.-F., Obstacle Problems in Mathematical Physics, North-Holland Mathematics Studies, vol. 134, North-Holland Publishing Co., Amsterdam, 1987. | MR | Zbl

[11] Zeldovich J. B., Frank-Kamenetskii D. A., A Theory of Thermal Propagation of Flame, Acta Physico-chimica URSS 9 (1938).

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