Stability of spherical caps under the volume-preserving mean curvature flow with line tension

Abstract

We show stability of spherical caps (SCs) lying on a flat surface, where the motion is governed by the volume-preserving Mean Curvature Flow (MCF). Moreover, we introduce a dynamic boundary condition that models a line tension effect on the boundary. The proof is based on the generalized principle of linearized stability. (C) 2015 Elsevier Ltd. All rights reserved.