JournalsifbVol. 3 , No. 4DOI 10.4171/ifb/45

Metastability in a flame front evolution equation

  • Henry Berestycki

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

    Tel-Aviv University, Israel
  • Gregory I. Sivashinsky

    Tel-Aviv University, Israel
Metastability in a flame front evolution equation cover

Abstract

A weakly nonlinear parabolic equation pertinent to the flame front dynamics subject to the buoyancy effect, and to a statistical description of biological evolution is considered. In the context of combustion it is shown that the parabolic interface occurring in upward propagating flames in vertical channels may actually be merely quasi-equilibrium transient states which eventually collapse to a stable configuration in which the flame tip slides along the channel wall.