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A phase-field approximation of the Willmore flow with volume and area constraints (Articolo in rivista)
- Type
- Label
- A phase-field approximation of the Willmore flow with volume and area constraints (Articolo in rivista) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1137/120874126 (literal)
- Alternative label
Pierluigi Colli; Philippe Laurencot (2012)
A phase-field approximation of the Willmore flow with volume and area constraints
in SIAM journal on mathematical analysis (Print); Society for Industrial and Applied Mathematics, Philadelphia, PA (Stati Uniti d'America)
(literal)
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- Pierluigi Colli; Philippe Laurencot (literal)
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- http://epubs.siam.org/doi/abs/10.1137/120874126 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
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- Dipartimento di Matematica F. Casorati, Università di Pavia, Via Ferrata 1, I-27100 Pavia, Italy; Institut de Mathématiques de Toulouse, CNRS UMR 5219, Université de Toulouse, F-31062 Toulouse Cedex 9, France (literal)
- Titolo
- A phase-field approximation of the Willmore flow with volume and area constraints (literal)
- Abstract
- The well-posedness of a phase-field approximation to the Willmore flow with area and volume constraints is established when the functional approximating the area has no critical point satisfying the two constraints. The existence proof relies on the underlying gradient flow structure of the problem: the time discrete approximation is solved by a variational minimization principle. The main difficulty stems from the nonlinearity of the area constraint. (literal)
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