Geodesic
Metastability in a flame front evolution equation
Henri Berestycki1 orcid ; Shoshana Kamin2 ; Gregory I. Sivashinsky2
1Ecole des hautes études en sciences sociales, Paris, France
2Tel-Aviv University, Israel
Interfaces and free boundaries, Tome 3 (2001) no. 4, pp. 361-392

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DOI

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.
DOI : 10.4171/ifb/45
Classification : 46-XX, 60-XX
Mots-clés : Upward propagating flames, interfaces, Burgers type equation, parabolic equations, stationary solutions, hyperbolic equation, metastability

Henri Berestycki  1   ; Shoshana Kamin  2   ; Gregory I. Sivashinsky  2

1 Ecole des hautes études en sciences sociales, Paris, France
2 Tel-Aviv University, Israel 
Henri Berestycki; Shoshana Kamin; Gregory I. Sivashinsky. Metastability in a flame front evolution equation. Interfaces and free boundaries, Tome 3 (2001) no. 4, pp. 361-392. doi: 10.4171/ifb/45
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     title = {Metastability in a flame front evolution equation},
     journal = {Interfaces and free boundaries},
     pages = {361--392},
     year = {2001},
     volume = {3},
     number = {4},
     doi = {10.4171/ifb/45},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/45/}
}
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