Presented By: Department of Mathematics
Applied Interdisciplinary Mathematics
Some results for motion by mean curvature in heterogeneous medium
We will discuss some results on the motion of interfaces by its mean curvature in heterogeneous media, in both continuous and discrete environments. Motion by mean curvature is a prototype of geometric motion which is a gradient flow (of the surface energy). Heterogeneity leads to wiggling energy landscape. Their combination gives rise to interesting questions about surface dynamics, pinning-depinning phenomena and the underlying pattern formation. The above can be demonstrated even in very simple spin systems with nearest and next-nearest neighbor interactions. Speaker(s): Aaron Yip (Purdue University)
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