7 citations · 23 across the 18 of their papers we have counts for
4 papers · 1 filter
Diffuse-interface approximation and weak-strong uniqueness of anisotropic mean curvature flow
Tim Laux, Kerrek Stinson, Clemens Ullrich
The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen-Cahn equation. We rely on distributional solution concepts for both the…
Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning
Leon Bungert, Kerrek Stinson
In this paper we prove Gamma-convergence of a nonlocal perimeter of Minkowski type to a local anisotropic perimeter. The nonlocal model describes the regularizing effect of adversa…
Sharp Interface Limit of the Cahn-Hilliard Reaction Model for Lithium-ion Batteries
Tim Laux, Kerrek Stinson
We propose a weak solution theory for the sharp interface limit of the Cahn-Hilliard reaction model, a variational PDE for lithium-ion batteries. An essential feature of this model…
Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow
Sebastian Hensel, Kerrek Stinson
We propose a novel weak solution theory for the Mullins-Sekerka equation primarily motivated from a gradient flow perspective. Previous existence results on weak solutions due to L…