A phase-field approximation of the Willmore flow with volume constraint
Analysis of PDEs
2010-04-05 v1
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.
Keywords
Cite
@article{arxiv.1004.0341,
title = {A phase-field approximation of the Willmore flow with volume constraint},
author = {Pierluigi Colli and Philippe Laurençot},
journal= {arXiv preprint arXiv:1004.0341},
year = {2010}
}