A phase-field approximation of the Willmore flow with volume constraint
Pierluigi Colli
Università di Pavia, ItalyPhilippe Laurençot
Université de Toulouse, Toulouse, France
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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.
Cite this article
Pierluigi Colli, Philippe Laurençot, A phase-field approximation of the Willmore flow with volume constraint. Interfaces Free Bound. 13 (2011), no. 3, pp. 341–351
DOI 10.4171/IFB/261