Conlon J.G., Doering C.R. — On Travelling Waves for the Stochastic Fisher–Kolmogorov–Petrovsky–Piscunov Equation
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Название: On Travelling Waves for the Stochastic Fisher–Kolmogorov–Petrovsky–Piscunov Equation
Авторы: Conlon J.G., Doering C.R.
Аннотация:
Journal of Statistical Physics, Vol. 120, Nos. 3/4, August 2005. p. 421-477.
DOI: 10.1007/s10955-005-5960-2
This paper is concerned with properties of the wave speed for the stochastically perturbed Fisher-Kolmogorov-Petrovsky-Piscunov (FKPP) equation. It was shown in the classical 1937 paper by Kolmogorov, Petrovsky and Piscu-nov that the large time behavior of the solution to the FKPP equation with Heaviside initial data is a travelling wave. In a seminal 1995 paper Mueller and Sowers proved that this also holds for a stochastically perturbed FKPP equation. The wave speed depends on the strength a of the noise. In this paper bounds on the asymptotic behavior of the wave speed c(s) as s -> 0 and s -> oo are obtained.
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