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Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion

Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion

The propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion coefficients is studied. Using coordinate changes, WKB approximations, and multiple scales analysis, we provide an analytic framework that describes propagation of the front up to the minimum of the diffusion coefficient. We also present results showing the behavior …