Metastability in a flame front evolution equation | Zendy

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

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Metastability in a flame front evolution equation

Author(s) -

Henri Berestycki,

S. Kamin,

Gregory Sivashinsky

Publication year - 2001

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/45

Subject(s) - combustion , front (military) , metastability , buoyancy , context (archaeology) , mechanics , transient (computer programming) , flame front , nonlinear system , evolution equation , physics , classical mechanics , materials science , thermodynamics , geology , mathematical analysis , mathematics , meteorology , chemistry , turbulence , computer science , paleontology , quantum mechanics , operating system , organic chemistry

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.

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