A new point of view on (crystalline) mean curvature flows

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• Antonin Chambolle, CMAP, Ecole Polytechnique
• Monday 16 November 2015, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Amit Einav.

In a joint work with M. Morini (Parma), M. Ponsiglione (Roma I), we propose a new (elementary) definition for sub and super flows of hypersurfaces by anisotropic mean curvature, for which existence and comparison results can be proved by relatively classical techniques. The method assumes very little smoothness and allows to extend standard existence and uniqueness results to the crystalline curvature flow with “natural” mobility. The crystalline curvature flow is a formal “gradient flow” of a perimeter which is measured with a surface tension both nonsmooth and non elliptic.

This talk is part of the Partial Differential Equations seminar series.

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