Finger-like smoldering patterns are observed in experiments under microgravity.
For theoretical understanding of such pattern phenomena, a model of reaction-diffusion system
has been proposed. In this paper, we prove the existence and
uniqueness of a solution for this reaction-diffusion system. We also consider a
large-time behavior of solutions.
@article{1233152774,
author = {Ikeda, Kota and Mimura, Masayasu},
title = {Mathematical treatment of a model for smoldering combustion},
journal = {Hiroshima Math. J.},
volume = {38},
number = {1},
year = {2008},
pages = { 349-361},
language = {en},
url = {http://dml.mathdoc.fr/item/1233152774}
}
Ikeda, Kota; Mimura, Masayasu. Mathematical treatment of a model for smoldering combustion. Hiroshima Math. J., Tome 38 (2008) no. 1, pp. 349-361. http://gdmltest.u-ga.fr/item/1233152774/