Quenching and propagation in KPP reaction-diffusion equations with a heat loss
Journal Article (Journal Article)
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).
Full Text
Duke Authors
Cited Authors
- Berestycki, H; Hamel, F; Kiselev, A; Ryzhik, L
Published Date
- October 1, 2005
Published In
Volume / Issue
- 178 / 1
Start / End Page
- 57 - 80
International Standard Serial Number (ISSN)
- 0003-9527
Digital Object Identifier (DOI)
- 10.1007/s00205-005-0367-4
Citation Source
- Scopus