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Alex Freire : Motion of networks by curvature in two and three dimensions (Apr 11, 2006 4:25 PM)

The main topic is the motion of a network of embedded curves moving by curvature in a convex planar domain, with three curves meeting at each vertex making 120 degree angles, and normal intersections at the boundary. I'll discuss the origin of this flow as a sharp-interface limit, the existence and linearized stability of static solutions, and what is known regarding global existence. A similar problem can be posed for systems of surfaces moving by mean curvature- if there is time, I'll discuss local existence in the surface case.

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