Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame.

Hélène Rouzaud

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 207-232
  • ISSN: 1139-1138

Abstract

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This article is devoted to the study of a flame ball model, derived by G. Joulin, which satisfies a singular integro-differential equation. We prove that, when radiative heat losses are too important, the flame always quenches; when heat losses are smaller, it stabilizes or quenches, depending on an energy input parameter. We also examine the asymptotics of the radius for these different regimes.

How to cite

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Rouzaud, Hélène. "Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame.." Revista Matemática Complutense 16.1 (2003): 207-232. <http://eudml.org/doc/44497>.

@article{Rouzaud2003,
abstract = {This article is devoted to the study of a flame ball model, derived by G. Joulin, which satisfies a singular integro-differential equation. We prove that, when radiative heat losses are too important, the flame always quenches; when heat losses are smaller, it stabilizes or quenches, depending on an energy input parameter. We also examine the asymptotics of the radius for these different regimes.},
author = {Rouzaud, Hélène},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones integro-diferenciales; Ecuaciones parabólicas; Ecuación del calor; Comportamiento asintótico; flame ball; quenching; point source},
language = {eng},
number = {1},
pages = {207-232},
title = {Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame.},
url = {http://eudml.org/doc/44497},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Rouzaud, Hélène
TI - Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 207
EP - 232
AB - This article is devoted to the study of a flame ball model, derived by G. Joulin, which satisfies a singular integro-differential equation. We prove that, when radiative heat losses are too important, the flame always quenches; when heat losses are smaller, it stabilizes or quenches, depending on an energy input parameter. We also examine the asymptotics of the radius for these different regimes.
LA - eng
KW - Ecuaciones integro-diferenciales; Ecuaciones parabólicas; Ecuación del calor; Comportamiento asintótico; flame ball; quenching; point source
UR - http://eudml.org/doc/44497
ER -

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