Communications in Mathematical Sciences
- Commun. Math. Sci.
- Volume 5, Issue 3 (2007), 575-593.
KPP pulsating front speed-up by flows
We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. We achieve this by showing that the ratio of the minimal front speed and the effective diffusivity of the flow is bounded away from zero and infinity by constants independent of the flow. We also study speed-up of reaction-diffusion fronts by various examples of flows in two and three dimensions.
Commun. Math. Sci., Volume 5, Issue 3 (2007), 575-593.
First available in Project Euclid: 29 August 2007
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35K57: Reaction-diffusion equations
Ryzhik, Lenya; Zlatoš, Andrej. KPP pulsating front speed-up by flows. Commun. Math. Sci. 5 (2007), no. 3, 575--593. https://projecteuclid.org/euclid.cms/1188405669