JournalsifbVol. 6, No. 4pp. 423–438

Metastable behavior of premixed gas flames in rectangular channels

  • Henry Berestycki

    Ecole des hautes études en sciences sociales, Paris, France
  • Shoshana Kamin

    Tel-Aviv University, Israel
  • Gregory I. Sivashinsky

    Tel-Aviv University, Israel
  • Leonid S. Kagan

    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

Henry Berestycki, Shoshana Kamin, Gregory I. Sivashinsky, Leonid S. Kagan, Metastable behavior of premixed gas flames in rectangular channels. Interfaces Free Bound. 6 (2004), no. 4, pp. 423–438

DOI 10.4171/IFB/108