Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type

Details Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type

2009-02-19

arxiv.org/abs/0902.3423v1

Mathematics

Probability

Scientific paper

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) + \epsilon \sqrt{u(1-u)}\dot W, $ and $ \partial_t u = \partial_x^2 u + u(1-u) + \epsilon \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-\pi^2 |\log \epsilon^2|^{-2} $ up to a factor of order $ (\log|\log\epsilon|)|\log\epsilon|^{-3}$.

Affiliated with

Also associated with

No associations

Rating

Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effect of Noise on Front Propagation in Reaction-Diffusion equations of KPP type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260748