16 citations · 52 across the 14 of their papers we have counts for
4 papers · 1 filter
A Phase-Field Method for Curvature Flow of Networks with Triple Junction Drag
Yuchuan Yang, Selim Esedoglu
We develop a new phase-field (diffuse interface) approximation of multiphase curvature motion with triple junction drag - an important sharp interface model for the evolution of mi…
Curvature Flow of Networks with Triple Junction Drag
Yuchuan Yang, Selim Esedoglu
We consider a PDE system that describes curvature motion of networks with a dynamic boundary condition known as triple junction drag. This model arises in the study of grain bounda…
A Hamilton-Jacobi equation for the continuum limit of non-dominated sorting
Jeff Calder, Selim Esedoglu, Alfred O. Hero
We show that non-dominated sorting of a sequence of i.i.d. random variables in Euclidean space has a continuum limit that corresponds to solving a Hamilton-Jacobi equation involvin…
Colliding Interfaces in Old and New Diffuse-interface Approximations of Willmore-flow
Selim Esedoglu, Andreas Rätz, Matthias Röger
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 dimens…