### Reaction-diffusion waves in a random environment

Nolen, J *(Duke)*

Monday 28 June 2010, 15:40-16.30

Seminar Room 1, Newton Institute

#### Abstract

I will describe solutions of a scalar reaction diffusion equation with a spatially inhomogeneous reaction rate. When the environment is random and statistically stationary, the position of the wave is a stochastic process which has a well-defined asymptotic speed. Under suitable mixing conditions on the environment, the process may also satisfy a functional central limit theorem, depending on the form of the nonlinear term and on the initial condition.

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