arXiv:1209.4809 Abstract | arXiv Analytics

arXiv:1209.4809 [math.AP]Abstract References Reviews Resources

Propagation in Fisher-KPP type equations with fractional diffusion in periodic media

Xavier Cabre, Anne-Charline Coulon, Jean-Michel Roquejoffre

Published 2012-09-21Version 1

We are interested in the time asymptotic location of the level sets of solutions to Fisher-KPP reaction-diffusion equations with fractional diffusion in periodic media. We show that the speed of propagation is exponential in time, with a precise exponent depending on a periodic principal eigenvalue, and that it does not depend on the space direction. This is in contrast with the Freidlin-G\"artner formula for the standard Laplacian.

Comments: 7 pages

Categories: math.AP

Subjects: 35K57

Keywords: fisher-kpp type equations, fractional diffusion, periodic media, propagation, time asymptotic location

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