Geodesic
Metastable behavior of premixed gas flames in rectangular channels
Henri Berestycki1 orcid ; Leonid S. Kagan2 ; Shoshana Kamin2 ; Gregory I. Sivashinsky2
1Ecole des hautes études en sciences sociales, Paris, France
2Tel-Aviv University, Israel
Interfaces and free boundaries, Tome 6 (2004) no. 4, pp. 423-438

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DOI

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.
DOI : 10.4171/ifb/108
Classification : 35-XX, 80-XX, 00-XX
Mots-clés : flame propagation, flame interface

Henri Berestycki  1   ; Leonid S. Kagan  2   ; Shoshana Kamin  2   ; Gregory I. Sivashinsky  2

1 Ecole des hautes études en sciences sociales, Paris, France
2 Tel-Aviv University, Israel 
Henri Berestycki; Leonid S. Kagan; Shoshana Kamin; Gregory I. Sivashinsky. Metastable behavior of premixed gas flames in rectangular channels. Interfaces and free boundaries, Tome 6 (2004) no. 4, pp. 423-438. doi: 10.4171/ifb/108
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     title = {Metastable behavior of premixed gas flames in rectangular channels},
     journal = {Interfaces and free boundaries},
     pages = {423--438},
     year = {2004},
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     number = {4},
     doi = {10.4171/ifb/108},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/108/}
}
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