Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame
- Autores: Hélène Rouzaud
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 1, 2003, págs. 207-232
- Idioma: inglés
- DOI: 10.5209/rev_rema.2003.v16.n1.16872
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Resumen
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.
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