Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type
| dc.creator | Mueller, Carl | |
| dc.creator | Mytnik, Leonid | |
| dc.creator | Quastel, Jeremy | |
| dc.date | 2009-02-19 | |
| dc.date.accessioned | 2026-07-07T12:44:13Z | |
| dc.date.available | 2026-07-07T12:44:13Z | |
| dc.description | We consider reaction-diffusion equations of KPP type in one spatial dimension, perturbed by a Fisher-Wright white noise, under the assumption of uniqueness in distribution. Examples include the randomly perturbed Fisher-KPP equations $ \partial_t u = \partial_x^2 u + u(1-u) + ε\sqrt{u(1-u)}\dot W, $ and $ \partial_t u = \partial_x^2 u + u(1-u) + ε\sqrt{u}\dot W, $ where $\dot W= \dot W(t,x)$ is a space-time white noise. We prove the Brunet-Derrida conjecture that the speed of traveling fronts is asymptotically $ 2-π^2 |\log ε^2|^{-2} $ up to a factor of order $ (\log|\logε|)|\logε|^{-3}$. | |
| dc.identifier | https://arxiv.org/abs/0902.3423 | |
| dc.identifier | http://arxiv.org/abs/0902.3423 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220692 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60H15; 35R60; 35K05 | |
| dc.title | Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type | |
| dc.type | text |