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

  title={Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow},
  author={Selim Esedoglu and Andreas R{\"a}tz and Matthias R{\"o}ger},
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… CONTINUE READING
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