Geodesic
Existence of pulsating waves in a model of flames in sprays
Journal of the European Mathematical Society, Tome 8 (2006) no. 4, pp. 555-584

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/67
Classification : 35-XX, 80-XX, 00-XX
Keywords: Inverse mean curvature flow, weak solution, level set formulation, p-harmonic function 
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     author = {Peter Constantin and Komla Domelevo and Jean-Michel Roquejoffre and Lenya Ryzhik},
     title = {Existence of pulsating waves in a model of flames in sprays},
     journal = {Journal of the European Mathematical Society},
     pages = {555--584},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2006},
     doi = {10.4171/jems/67},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/67/}
}
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Peter Constantin; Komla Domelevo; Jean-Michel Roquejoffre; Lenya Ryzhik. Existence of pulsating waves in a model of flames in sprays. Journal of the European Mathematical Society, Tome 8 (2006) no. 4, pp. 555-584. doi: 10.4171/jems/67

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