Existence of pulsating waves in a model of flames in sprays

Peter Constantin, Komla Domelevo, Jean Michel Roquejoffre, Lenya Ryzhik

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)555-584
Number of pages30
JournalJournal of the European Mathematical Society
Issue number4
StatePublished - 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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