We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain convergence for largeâ€¦ (More)

In this paper we consider the evolution of a graph-like hype rsurface by anisotropic mean curvature flow, under some restrictions on the anisotropic a rea integrand. We find interior estimates (inâ€¦ (More)

We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature: If another solution isâ€¦ (More)

Extensive work has been published on the behaviour of capill ary (liquid-air or liquid-liquid) interfaces when the liquid is assumed to be incompressible. As an authoritative introduction we refer toâ€¦ (More)