Self-intersections for the surface diffusion and the volume preserving mean curvature flow

Uwe F. Mayer and Gieri Simonett

Abstract: We prove that the surface diffusion flow and the volume preserving mean curvature flow can drive embedded hypersurfaces to self-intersections.

Key words: Surface diffusion, mean curvature, gradient flow, free boundary problem, immersed hypersurface.

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