Calculus of Variations and Geometric Measure Theory
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Variational approximation of the Willmore functional and flow

Simon Masnou (Institut Camille Jordan, Univ. Lyon 1)

created by dicastro on 31 Oct 2013

7 nov 2013 -- 17:00   [open in google calendar]

Aula Seminari - Department of Mathematics, University of Pisa

Abstract.

The talk will be devoted to phase-field approximations of the Willmore functional and the associated L2-flow. After introducing the various approximations that have been proposed in the literature, I will discuss the asymptotic behavior of the associated flows, and the connection with the continuous Willmore flow. A convergent scheme will be proposed for simulating two of these flows, and their behavior will be illustrated on 2D and 3D examples, in both smooth and singular situations.

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