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The volume preserving mean curvature flow near spheres
Authors:Joachim Escher   Gieri Simonett
Affiliation:Mathematical Institute, University of Basel, CH-4051 Basel, Switzerland ; Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
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.

Keywords:Generalized motion by mean curvature   center manifolds
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