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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.