Existence of pulsating waves in a model of flames in sprays | Zendy

Peter Constantin | Zendy; Komla Domelevo | Zendy; JeanMichel Roquejoffre | Zendy; Lenya Ryzhik | Zendy

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Existence of pulsating waves in a model of flames in sprays

Author(s) -

Peter Constantin,

Komla Domelevo,

JeanMichel Roquejoffre,

Lenya Ryzhik

Publication year - 2006

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/67

Subject(s) - mach number , range (aeronautics) , bounded function , mathematics , mechanics , vaporization , distribution (mathematics) , mathematical analysis , physics , thermodynamics , materials science , composite material

A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatially periodic. The range of possible propagation speeds may be either bounded or unbounded, depending on the threshold temperatures of the burning and vaporization rates.

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