Metastable behavior of premixed gas flames in rectangular channels
Henri Berestycki
Ecole des hautes études en sciences sociales, Paris, FranceLeonid S. Kagan
Tel-Aviv University, IsraelShoshana Kamin
Tel-Aviv University, IsraelGregory I. Sivashinsky
Tel-Aviv University, Israel
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Abstract
A two-dimensional model for the upward propagating flame in a vertical square channel is explored. It is proved that under certain special initial conditions, the point where the flame interface attains its maximum, stays off the boundary (channel's wall) for an exponentially long period of time. The proof is an extension of the analysis developed previously for the one-dimensional version of the problem.
Cite this article
Henri Berestycki, Leonid S. Kagan, Shoshana Kamin, Gregory I. Sivashinsky, Metastable behavior of premixed gas flames in rectangular channels. Interfaces Free Bound. 6 (2004), no. 4, pp. 423–438
DOI 10.4171/IFB/108