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