| 2 | Convergence to a Single Wave in the Fisher-KPP Equation(Dedicated to Haim Brezis,with admiration and respect)显示文摘The authors 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. The constant x∞ depends on the initial condition u(0, x). The proof is elaborate, and based on probabilistic arguments.The purpose of this paper is to provide a simple proof based on PDE arguments. | James NOLEN Jean-Michel ROQUEJOFFRE Lenya RYZHIK | 2017 | Chinese Annals of Mathematics,Series B2017，38，2： | 0 |
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