Self-intersections for the Willmore flow

Uwe F. Mayer and Gieri Simonett

Abstract: We prove that the Willmore flow can drive embedded surfaces to self-intersections in finite time.

Key words:Willmore flow, free boundary problem, surface diffusion, mean curvature, immersed hypersurface.

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First posted: Tue Oct 30 13:43:18 PST 2001
Last updated: Tue Oct 30 13:43:18 PST 2001