Stability of Spherical Caps under the Volume-Preserving Mean Curvature Flow with Line Tension
arXiv:1403.1139
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
36 pages