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

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

2010-04-02

arxiv.org/abs/1004.0341v1

Mathematics

Analysis of PDEs

Scientific paper

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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