Preprint 84/2001

The speed of travelling waves for convective reaction-diffusion equations

Steffen Heinze

Contact the author: Please use for correspondence this email.
Submission date: 15. Nov. 2001
Pages: 9
Download full preprint: PDF (210 kB), PS ziped (118 kB)

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.

24.11.2021, 02:11