Abstract
We perform a singular-perturbation analysis of the Fisher equation in arbitrary dimensions. This analysis gives us an approximate, asymptotic solution of the Fisher equation for a broad class of initial conditions. Specifically, we find that a domain growing from a seed initial condition has an asymptotic velocity of 2 in all dimensions. However, the interface of the analytic solution is excessively sharp, suggesting that the singular-perturbation approach has intrinsic limitations.
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