Browsing Faculty of Management by Author "Rumsey, John"
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Stability of Curved Interfaces in the Perturbed Two-Dimensional Allen-Cahn System
(Society for Industrial and Applied Mathematics, 2009)We consider the singular limit of a perturbed Allen-Cahn model on a bounded two-dimensional domain: $\left\{\begin{array}{@{}ll@{}} u_t = \varepsilon^2 \Delta u - 2 (u - \varepsilon a) (u^2 - 1), & x \in \Omega \subset ...
