Metastabilitv in a flame front evolution equation

H. Berestycki, S. Kamin, G. Sivashinsky

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)361-392
Number of pages32
JournalInterfaces and Free Boundaries
Issue number4
StatePublished - 2001


  • Burgers type equation
  • Hyperbolic equation
  • Interfaces
  • Metastability
  • Parabolic equations
  • Stationary solutions
  • Upward propagating flames


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