Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow
| dc.contributor.author | Esedoglu, Selim | |
| dc.contributor.author | Rätz, Andreas | |
| dc.contributor.author | Röger, Matthias | |
| dc.date.accessioned | 2012-10-01T11:34:05Z | |
| dc.date.available | 2012-10-01T11:34:05Z | |
| dc.date.issued | 2012-10-01 | |
| dc.description.abstract | This paper is concerned with diffuse-interface approximations of the Willmore flow. We first present numerical results of standard diffuse-interface models for colliding one dimensional interfaces. In such a scenario evolutions towards interfaces with corners can occur that do not necessarily describe the adequate sharp-interface dynamics. We therefore propose and investigate alternative diffuse-interface approximations that lead to a different and more regular behavior if interfaces collide. These dynamics are derived from approximate energies that converge to the L1-lower-semicontinuous envelope of the Willmore energy, which is in general not true for the more standard Willmore approximation. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/29653 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-10567 | |
| dc.language.iso | en | |
| dc.relation.ispartofseries | Mathematical Preprints ; 16/2012 | |
| dc.subject.ddc | 610 | |
| dc.title | Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |