Quenching and propagation in KPP reaction-diffusion equations with a heat loss
We consider a reaction-diffusion system of KPP type in a shear flow and with a non-zero heat-loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagation speed in terms of the exponential decay of the initial data. We prove the existence of travelling fronts for all speeds c>max(0,c*) in the case Le=1, where c* ∈ ℝ. This seems to be one of the first non-perturbative results on the existence of fronts for the thermo-diffusive system in higher dimensions. © Springer-Verlag (2005).
Berestycki, H; Hamel, F; Kiselev, A; Ryzhik, L
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