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Reaction-diffusion waves in a random environment

Presented by: 
J Nolen [Duke]
Monday 28th June 2010 - 15:40 to 16:30
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons