Travelling fronts in porous media combustion: Existence and a singular limit

Document Type

Article

Publication Date

1-1-2006

Abstract

We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky (Sivashinsky 2002 Proc. Combust. Inst. 29, 1737-1761). We show that it admits travelling wave solutions that converge in the limit of zero temperature diffusivity to the travelling fronts of a reduced system constructed in Gordon et al. (Gordon et al. 2002 Asymptotic Anal. 29, 309-321). © 2006 The Royal Society.

Identifier

33845548555 (Scopus)

Publication Title

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

External Full Text Location

https://doi.org/10.1098/rspa.2006.1654

e-ISSN

14712946

ISSN

13645021

First Page

1965

Last Page

1985

Issue

2071

Volume

462

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