A phase-field approximation of the Willmore flow with volume constraint

Pierluigi Colli; Philippe Laurençot

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arXiv · 1004.0341

A phase-field approximation of the Willmore flow with volume constraint

Pierluigi Colli·Philippe Laurençot

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Abstract

The well-posedness of a phase-field approximation to the Willmore flow with volume constraint is established. The existence proof relies on the underlying gradient flow structure of the problem: the time discrete approximation is solved by a variational minimization principle.

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Pierluigi Colli, Philippe Laurençot. 2010-04-02. A phase-field approximation of the Willmore flow with volume constraint. https://arxiv.org/abs/1004.0341

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