Geodesic
A phase-field approximation of the Willmore flow with volume constraint
Pierluigi Colli1 ; Philippe Laurençot2 orcid
1Università di Pavia, Italy
2Université de Toulouse, Toulouse, France
Interfaces and free boundaries, Tome 13 (2011) no. 3, pp. 341-351

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DOI

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.
DOI : 10.4171/ifb/261
Classification : 35-XX, 49-XX, 00-XX
Mots-clés : Phase-field approximation; gradient flow; well-posedness

Pierluigi Colli  1   ; Philippe Laurençot  2

1 Università di Pavia, Italy
2 Université de Toulouse, Toulouse, France 
Pierluigi Colli; Philippe Laurençot. A phase-field approximation of the Willmore flow with volume constraint. Interfaces and free boundaries, Tome 13 (2011) no. 3, pp. 341-351. doi: 10.4171/ifb/261
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     year = {2011},
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     number = {3},
     doi = {10.4171/ifb/261},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/261/}
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