14 citations · 22 across the 4 of their papers we have counts for
4 papers
Diffuse Interface Energies with Microscopic Heterogeneities II: Rare Events
Peter S. Morfe, Christian Wagner
We analyze Allen-Cahn functionals with stationary ergodic coefficients in the regime where the length scale of the heterogeneities is much smaller (microscopic) than the interf…
Hamilton-Jacobi scaling limits of Pareto peeling in 2D
Ahmed Bou-Rabee, Peter S. Morfe
Pareto hull peeling is a discrete algorithm, generalizing convex hull peeling, for sorting points in Euclidean space. We prove that Pareto peeling of a random point set in two dime…
Surface Tension and -Convergence of Van der Waals-Cahn-Hilliard Phase Transitions in Stationary Ergodic Media
Peter Morfe
We study the large scale equilibrium behavior of Van der Waals-Cahn-Hilliard phase transitions in stationary ergodic media. Specifically, we are interested in free energy functiona…
Convergence and Rates for Hamilton-Jacobi Equations with Kirchoff Junction Conditions
Peter Morfe
We investigate rates of convergence for two approximation schemes of time-independent and time-dependent Hamilton-Jacobi equ-ations with Kirchoff junction conditions. We analyze th…