3 papers
math.AP2026
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…
math.AP2025
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…
math.NA2024
Median Filters for Anisotropic Wetting / Dewetting Problems
Jiajia Guo, Selim Esedoglu
We present new level set methods for multiphase, anisotropic (weighted) motion by mean curvature of networks, focusing on wetting-dewetting problems where one out of three phases i…