4 papers
Non-Euclidean elasticity for rods and almost isometric embeddings of geodesic tubes
Milan Kroemer, Stefan Müller
We consider a geodesic of length in an oriented Riemannian manifold and a thin tube around of radius . We study an 'elastic' energy per un…
Quantitative convergence of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow
Milan Kroemer, Tim Laux
We prove a quantitative convergence result of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow. The proof uses gradient flow calibrations and the relative…
A uniqueness and stability principle for surface diffusion
Milan Kroemer, Tim Laux
We derive a uniqueness and stability principle for surface diffusion before the onset of singularities. The perturbations, however, are allowed to undergo topological changes. The…
The Hele-Shaw flow as the sharp interface limit of the Cahn-Hilliard equation with disparate mobilities
Milan Kroemer, Tim Laux
In this paper, we study the sharp interface limit for solutions of the Cahn-Hilliard equation with disparate mobilities. This means that the mobility function degenerates in one of…