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November 2008 Mathematical treatment of a model for smoldering combustion
Kota Ikeda, Masayasu Mimura
Hiroshima Math. J. 38(3): 349-361 (November 2008). DOI: 10.32917/hmj/1233152774

Abstract

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.

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Kota Ikeda. Masayasu Mimura. "Mathematical treatment of a model for smoldering combustion." Hiroshima Math. J. 38 (3) 349 - 361, November 2008. https://doi.org/10.32917/hmj/1233152774

Information

Published: November 2008
First available in Project Euclid: 28 January 2009

zbMATH: 1172.35418
MathSciNet: MR2477746
Digital Object Identifier: 10.32917/hmj/1233152774

Subjects:
Primary: 35K45, 35K55, 35K57

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

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Vol.38 • No. 3 • November 2008
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