Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations

Journal Article

© 2015, & Francis Group, LLC. We consider solutions of the KPP equation with a time-dependent diffusivity of the form σ(t/T). For an initial condition that has sufficiently fast decay in x, we show that when σ(s) is increasing in time the front position at time T is (Formula presented.). That is, X(T) lags behind the linear front by an amount that is algebraic in T, not by the Bramson correction (3/2)log T as in the uniform medium. This refines a result by Fang and Zeitouni.

Full Text

Duke Authors

Cited Authors

  • Nolen, J; Roquejoffre, JM; Ryzhik, L

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 40 / 3

Start / End Page

  • 475 - 505

Electronic International Standard Serial Number (EISSN)

  • 1532-4133

International Standard Serial Number (ISSN)

  • 0360-5302

Digital Object Identifier (DOI)

  • 10.1080/03605302.2014.972744

Citation Source

  • Scopus