Curvature Evolution of Nonconvex Lens-shaped Domains
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چکیده
We study the curvature flow of planar nonconvex lens-shaped domains, considered as special symmetric networks with two triple junctions. We show that the evolving domain becomes convex in finite time; then it shrinks homothetically to a point, as proved in [22]. Our theorem is the analog of the result of Grayson [13] for curvature flow of closed planar embedded curves.
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تاریخ انتشار 2009