Mean curvature flow of entire graphs in a half-space with a free boundary

Authors

V.-M Wheeler, University of WollongongFollow

RIS ID

76737

Publication Details

Vulcanov, V. (2014). Mean curvature flow of entire graphs in a half-space with a free boundary. Journal fur die Reine und Angewandte Mathematik, 2014 (690), 115-131.

Abstract

We study the mean curvature flow of graphs with prescribed contact angle on a fixed, smooth hyperplane in Euclidean space. We obtain long time existence and convergence to a self similar solution of the mean curvature flow orthogonal to the fixed hyperplane.