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MiS Preprint
42/2004

Travelling fronts in pressure-driven combustion

Fathi Dkhil and Karl Peter Hadeler

Abstract

Brailovsky and Sivashinsky have proposed a model for pressure-driven combustion in the form of a degenerate parabolic system for temperature, concentration and pressure. it is shown that the existence and uniqueness problem for travelling front solutions can be completely solved by exploiting the existing invariants and phase plane methods. The approach yields travelling fronts for a variety of related problems which are interpreted in physical terms.

Received:
Jun 25, 2004
Published:
Jun 25, 2004
MSC Codes:
35K55, 35K57, 37C29, 76L05, 80A25
Keywords:
combustion, deflagration, travelling front, reaction diffusion

Related publications

inJournal
2006 Repository Open Access
Fathi Dkhil and Karl Peter Hadeler

Traveling fronts in pressure-driven combustion

In: SIAM journal on applied mathematics, 66 (2006) 5, pp. 1473-1481