Convergence to a single wave in the Fisher-KPP equation
نویسندگان
چکیده
منابع مشابه
Convergence to a single wave in the Fisher-KPP equation
We study the large time asymptotics of a solution of the Fisher-KPP reaction-diffusion equation, with an initial condition that is a compact perturbation of a step function. A well-known result of Bramson states that, in the reference frame moving as 2t− (3/2) log t+x∞, the solution of the equation converges as t→ +∞ to a translate of the traveling wave corresponding to the minimal speed c∗ = 2...
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For a simple one dimensional lattice version of a travelling wave equation, we obtain an exact relation between the initial condition and the position of the front at any later time. This exact relation takes the form of an inverse problem: given the times tn at which the travelling wave reaches the positions n, one can deduce the initial profile.We show, bymeans of complex analysis, that a num...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2017
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-017-1087-4