Metastable behavior of premixed gas flames in rectangular channels

H. Berestycki; L. Kagan; S. Kamin; G. Sivashinsky

doi:10.4171/IFB/108

Metastable behavior of premixed gas flames in rectangular channels

H. Berestycki, L. Kagan, S. Kamin^*, G. Sivashinsky

^*Corresponding author for this work

School of Mathematical Sciences

École des hautes études en sciences sociales

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	423-438
Number of pages	16
Journal	Interfaces and Free Boundaries
Volume	6
Issue number	4
DOIs	https://doi.org/10.4171/IFB/108
State	Published - Dec 2004

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10.4171/IFB/108

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title = "Metastable behavior of premixed gas flames in rectangular channels",

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.",

author = "H. Berestycki and L. Kagan and S. Kamin and G. Sivashinsky",

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AU - Sivashinsky, G.

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Y1 - 2004/12

N2 - 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.

AB - 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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Metastable behavior of premixed gas flames in rectangular channels

Abstract

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