Name
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. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1137/120874126 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
phase-field approximation,gradient flow,minimization principle,well-posedness | Mathematical optimization,Nonlinear system,Mathematical analysis,Flow (psychology),Critical point (thermodynamics),Minification,Balanced flow,Mathematics,Willmore energy | Journal |
Volume | Issue | ISSN |
44 | 6 | 0036-1410 |
Citations | PageRank | References |
1 | 0.36 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierluigi Colli | 1 | 8 | 5.36 |
| Philippe Laurençot | 2 | 30 | 10.30 |