The logarithmic delay of KPP fronts in a periodic medium
François Hamel
Université d'Aix-Marseille, FranceJames Nolen
Duke University, Durham, USAJean-Michel Roquejoffre
Université Paul Sabatier, Toulouse, FranceLenya Ryzhik
Stanford University, United States
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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