Metastable behavior of premixed gas flames in rectangular channels | Zendy

Henri Berestycki | Zendy; Leonid Kagan | Zendy; S. Kamin | Zendy; Gregory Sivashinsky | Zendy

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Metastable behavior of premixed gas flames in rectangular channels

Author(s) -

Henri Berestycki,

Leonid Kagan,

S. Kamin,

Gregory Sivashinsky

Publication year - 2004

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/108

Subject(s) - channel (broadcasting) , metastability , mechanics , point (geometry) , square (algebra) , premixed flame , boundary (topology) , materials science , geometry , physics , mathematics , mathematical analysis , chemistry , combustion , computer science , telecommunications , combustor , quantum mechanics

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.

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