Recent mathematical results on combustion in hydraulically resistant porous media

Document Type

Article

Publication Date

1-1-2007

Abstract

Gaseous detonation is a phenomenon with very complicated dynamics which has been studied extensively by physicists, mathematicians and engineers for many years. Despite many efforts the problem is far from a complete resolution. Recently the theory of subsonic detonation that occurs in highly resistant porous media was proposed in [4]. This theory provides a model which is realistic, rich and suitable for a mathematical study. In particular, the model is capable of describing the transition from a slowly propagating deflagration wave to the fast detonation wave. This phenomena is known as a deflagration to detonation transition and is one of the most challenging issues in combustion theory. In this paper we will present some recent mathematical results concerning initiation of reaction in porous media, existence and uniqueness of traveling fronts, quenching and propagation. © 2007 EDP Sciences.

Identifier

77953450021 (Scopus)

Publication Title

Mathematical Modelling of Natural Phenomena

External Full Text Location

https://doi.org/10.1051/mmnp:2008019

e-ISSN

17606101

ISSN

09735348

First Page

56

Last Page

76

Issue

2

Volume

2

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