MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Travelling fronts in pressure-driven combustion

Fathi Dkhil and Karl Peter Hadeler


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.

MSC Codes:
35K55, 35K57, 37C29, 76L05, 80A25
combustion, deflagration, travelling front, reaction diffusion

Related publications

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