Quenching and propagation in KPP reaction-diffusion equations with a heat loss
نویسندگان
چکیده
We consider a reaction-diffusion system of the 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 existence of traveling fronts for all speeds c > max(0, c∗) in the case Le = 1, where c∗ ∈ R. That seems to be one of the first non-perturbative results on the existence of fronts for the thermo-diffusive system in higher dimensions.
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