JournalsjemsVol. 18, No. 3pp. 465–505

The logarithmic delay of KPP fronts in a periodic medium

  • François Hamel

    Université d'Aix-Marseille, France

  • James Nolen

    Duke University, Durham, USA

  • Jean-Michel Roquejoffre

    Université Paul Sabatier, Toulouse, France

  • Lenya Ryzhik

    Stanford University, United States
The logarithmic delay of KPP fronts in a periodic medium cover
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Abstract

We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson which asserts that, in the case of a spatially homogeneous reaction rate, the time lag between the position of an initially compactly supported solution and that of a traveling wave grows logarithmically in time.

Cite this article

François Hamel, James Nolen, Jean-Michel Roquejoffre, Lenya Ryzhik, The logarithmic delay of KPP fronts in a periodic medium. J. Eur. Math. Soc. 18 (2016), no. 3, pp. 465–505

DOI 10.4171/JEMS/595