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MiS Preprint
84/2001
The speed of travelling waves for convective reaction-diffusion equations
Steffen Heinze
Abstract
Explicit upper and lower estimates for the speed of fronts for reaction-diffusion equation with a convective shear flow are derived. The enhancement of the speed is proportional to the amplitude of the convection and proportional to the square root of the amplitude of the reaction. Several asymptotic regimes will be considered, i.e. large Peclet numbers, rapidly oscillating convection, and small diffusivity.
