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.

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

COLLI, PIERLUIGI;
2011-01-01

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.
2011
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
13
341
351
Phase-field Approximation; Gradient Flow; Well-posedness
http://dx.doi.org/10.4171/IFB/261
2
info:eu-repo/semantics/article
262
Colli, Pierluigi; Laurençot, Philippe
1 Contributo su Rivista::1.1 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/223247
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