The logarithmic delay of KPP fronts in a periodic medium
Journal of the European Mathematical Society, Tome 18 (2016) no. 3, pp. 465-505.

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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.
DOI : 10.4171/jems/595
Classification : 35-XX
Keywords: Reaction-diffusion equations, periodic media, pulsating traveling fronts, Cauchy problem, asymptotic behavior, logarithmic shift
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François Hamel; James Nolen; Jean-Michel Roquejoffre; Lenya Ryzhik. The logarithmic delay of KPP fronts in a periodic medium. Journal of the European Mathematical Society, Tome 18 (2016) no. 3, pp. 465-505. doi : 10.4171/jems/595. http://geodesic.mathdoc.fr/articles/10.4171/jems/595/

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