JournalsjemsVol. 8 , No. 4DOI 10.4171/jems/67

Existence of pulsating waves in a model of flames in sprays

  • Jean-Michel Roquejoffre

    Université Paul Sabatier, Toulouse, France
  • Peter Constantin

    Princeton University, United States
  • Lenya Ryzhik

    Stanford University, United States
  • Komla Domelevo

    Université Paul Sabatier, Toulouse, France
Existence of pulsating waves in a model of flames in sprays cover

Abstract

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.