The volume preserving mean curvature flow near spheres

Escher, Joachim; Simonett, Gieri

doi:10.1090/S0002-9939-98-04727-3

The volume preserving mean curvature flow near spheres
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by Joachim Escher and Gieri Simonett PDF

Proc. Amer. Math. Soc. 126 (1998), 2789-2796 Request permission

Abstract:

By means of a center manifold analysis we investigate the averaged mean curvature flow near spheres. In particular, we show that there exist global solutions to this flow starting from non-convex initial hypersurfaces.

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