The logarithmic delay of KPP fronts in a periodic medium
François HamelUniversité d'Aix-Marseille, France
James NolenDuke University, Durham, USA
Jean-Michel RoquejoffreUniversité Paul Sabatier, Toulouse, France
Lenya RyzhikStanford University, United States
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. 465–505DOI 10.4171/JEMS/595