Authors: | Esedoglu, Selim Rätz, Andreas Röger, Matthias |
Title: | Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow |
Language (ISO): | en |
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. |
URI: | http://hdl.handle.net/2003/29653 http://dx.doi.org/10.17877/DE290R-10567 |
Issue Date: | 2012-10-01 |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint-2012-16.pdf | 2.52 MB | Adobe PDF | View/Open |
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