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MiS Preprint

Evolution of hypersurfaces in central force fields

Oliver Schnürer and Knut Smoczyk


We consider flows of hypersurfaces in Rn+1 decreasing the energy induced by radially symmetric potentials. These flows are similar to the mean curvature flow but different phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothly to a uniquely determined sphere if they satisfy a strengthened starshapedness condition at the beginning.

Jan 15, 2001
Jan 15, 2001

Related publications

2002 Repository Open Access
Oliver C. Schnürer and Knut Smoczyk

Evolution of hypersurfaces in central force fields

In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 550 (2002), pp. 77-95