High Lewis Number Combustion Wavefronts: A Perturbative Melnikov Analysis

DOI10.1137/050640849zbMath1121.80007arXivnlin/0612023OpenAlexW2592652990MaRDI QIDQ3435024

Sanjeeva Balasuriya, John Hornibrook, Georg A. Gottwald, Stéphane Lafortune

Publication date: 3 May 2007

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0612023

zbMATH Keywords

Evans functionMelnikov methodslow manifold reductioncombustion waveshigh Lewis number

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Combustion (80A25) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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