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Article

Travelling fronts in pressure-driven combustion

Dkhil Fathi, Karl Peter Hadeler, -0001

SIAM Journal, 66, 5, 1473-1481, 2006,

Résumé

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 traveling front solutions can be completely solved by exploiting the existing invariants and by phase plane methods. The approach yields exact propagation speeds which are noticeably larger than the approximations obtained so far.