The logarithmic delay of KPP fronts in a periodic medium
The logarithmic delay of KPP fronts in a periodic medium
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周期性介质中 KPP 前沿的对数延迟
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
L. Ryzhik
中科院分区：
文献类型：
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作者：
F. Hamel;J. Nolen;J. Roquejoffre;L. Ryzhik
我们考虑具有周期变化的反应速率和紧支持的初始数据的KPP类型方程的解。M.Bramson指出，在反应速率恒定的情况下，解的位置与行波位置之间的滞后按(3/2)log(T)增长。我们将这一结果推广到周期情形
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by M. Bramson in the case of the constant reaction rate that the lag between the position of such solutions and that of the traveling waves grows as (3/2) log(t). We generalize this result to the periodic case