English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

This paper is concerned with diffuse-interface approximations of the Willmoreflow. We first present numerical results of standard diffuse-interface modelsfor colliding one dimensional interfaces. In such a scenario evolutions towardsinterfaces with corners can occur that do not necessarily describe the adequatesharp-interface dynamics.  We therefore propose and investigate alternative diffuse-interfaceapproximations that lead to a different and more regular behavior if interfacescollide. These dynamics are derived from approximate energies that converge tothe $L^1$-lower-semicontinuous envelope of the Willmore energy, which is ingeneral not true for the more standard Willmore approximation.

Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow