2-Dimensional flat curvature flow of crystals
2-Dimensional flat curvature flow of crystals
In the impressive and seminal paper \cite{ATW}, Fred Almgren, Jean Taylor, and Lihe Wang introduced flat curvature flow in $\mathbb{R}^{n}$, a variational time-discretization scheme for (isotropic or anisotropic) mean curvature flow. Their main result asserts the H\\"{o}lder continuity, in time, of these flows. This essential estimate requires a boundary regularity …