Existence of pulsating waves in a model of flames in sprays

Peter Constantin; Komla Domelevo; Jean-Michel Roquejoffre; Lenya Ryzhik

Journal of the European Mathematical Society (2006)

  • Volume: 008, Issue: 4, page 555-584
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Constantin, Peter, et al. "Existence of pulsating waves in a model of flames in sprays." Journal of the European Mathematical Society 008.4 (2006): 555-584. <http://eudml.org/doc/277299>.

@article{Constantin2006,
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.},
author = {Constantin, Peter, Domelevo, Komla, Roquejoffre, Jean-Michel, Ryzhik, Lenya},
journal = {Journal of the European Mathematical Society},
keywords = {inverse mean curvature flow; weak solution; level set formulation; $p$-harmonic function; existence; pulsating waves; existence; pulsating waves; model of flames; low Mach number flames},
language = {eng},
number = {4},
pages = {555-584},
publisher = {European Mathematical Society Publishing House},
title = {Existence of pulsating waves in a model of flames in sprays},
url = {http://eudml.org/doc/277299},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Constantin, Peter
AU - Domelevo, Komla
AU - Roquejoffre, Jean-Michel
AU - Ryzhik, Lenya
TI - Existence of pulsating waves in a model of flames in sprays
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 4
SP - 555
EP - 584
AB - 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.
LA - eng
KW - inverse mean curvature flow; weak solution; level set formulation; $p$-harmonic function; existence; pulsating waves; existence; pulsating waves; model of flames; low Mach number flames
UR - http://eudml.org/doc/277299
ER -

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