7 citations · 23 across the 18 of their papers we have counts for
5 papers · 1 filter
Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow
Likhit Ganedi, Alice Marveggio, Kerrek Stinson
We consider a variational model for heterogeneous phase separation, based on a diffuse interface energy with moving wells. Our main result identifies the asymptotic behavior of the…
Linearization of quasistatic fracture evolution in brittle materials
Manuel Friedrich, Pascal Steinke, Kerrek Stinson
We prove a linearization result for quasistatic fracture evolution in nonlinear elasticity. As the stiffness of the material tends to infinity, we show that rescaled displacement f…
An elliptic approximation for phase separation in a fractured material
Kerrek Stinson, Solveig Wittig
We consider a free-boundary and free-discontinuity energy connecting phase separation and fracture in an elastic material. The energy excludes the contribution of phase boundaries…
A mean curvature flow arising in adversarial training
Leon Bungert, Tim Laux, Kerrek Stinson
We connect adversarial training for binary classification to a geometric evolution equation for the decision boundary. Relying on a perspective that recasts adversarial training as…
Strong existence for free discontinuity problems in linear elasticity
Manuel Friedrich, Camille Labourie, Kerrek Stinson
In this note we show Ahlfors-regularity for a large class of quasiminimizers of the Griffith functional. This allows us to prove that, for a range of free discontinuity problems in…