Metastable behavior of premixed gas flames in rectangular channels

  • Henri Berestycki

    Ecole des hautes études en sciences sociales, Paris, France
  • Leonid S. Kagan

    Tel-Aviv University, Israel
  • Shoshana Kamin

    Tel-Aviv University, Israel
  • Gregory I. Sivashinsky

    Tel-Aviv University, Israel

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