Abstract
A singular perturbation problem for a scalar bistable nonlocal reaction-diffusion equation is treated. It is rigorously proved that the layer solutions of this nonlocal reaction-diffusion equation converge to solutions of the averaged mean curvature flow on a finite time interval as the singular perturbation parameter tends to zero.
Citation
Koji Okada. "Dynamical approximation of internal transition layers in a bistable nonlocal reaction-diffusion equation via the averaged mean curvature flow." Hiroshima Math. J. 38 (2) 263 - 313, July 2008. https://doi.org/10.32917/hmj/1220619461
Information
