Singular limit and homogenization for flame propagation in periodic excitable media

@inproceedings{Caffarelli2007SingularLA,
  title={Singular limit and homogenization for flame propagation in periodic excitable media},
  author={Luis Caffarelli and Ki-Ahm Lee},
  year={2007}
}
This paper is concerned with a class of singular equations modeling the combustion of premixed gas in periodic media. The model involves two parameters: the period of the medium |L| and a singular parameter ε related to the activation energy. The existence of pulsating travelling fronts for fixed ε and |L| was proved by H. Berestycki and F. Hamel in [BH]. In the present paper, we investigate the behaviour of such solutions when ε ≤ ε|L| 1. More precisely, we establish that Pulsating Travelling… CONTINUE READING
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