2 citations · 3 across the 5 of their papers we have counts for
5 papers
Stability of mean convex cones under mean curvature flow
Julie Clutterbuck, Oliver C. Schnürer
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 anoth…
The Capillarity Problem for Compressible Liquids
Maria Athanassenas, Julie Clutterbuck
In this paper we study existence and regularity of solutions to the capillarity problem for compressible liquids in a tube. We introduce an appropriate space of functions of bounde…
Interior Gradient Estimates for Anisotropic Mean Curvature Flow
Julie Clutterbuck
In this paper we consider the evolution of a graph-like hypersurface by anisotropic mean curvature flow, under some restrictions on the anisotropic area integrand. We find interior…
Stability of translating solutions to mean curvature flow
Julie Clutterbuck, Oliver C. Schnürer, Felix Schulze
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 converg…
Parabolic equations with continuous initial data
Julie Clutterbuck
The aim of this thesis is to derive new gradient estimates for parabolic equations. The gradient estimates found are independent of the regularity of the initial data. This allows…