Stability analysis of phase boundary motion by surface diffusion with triple junction
Volume 86 / 2009
Banach Center Publications 86 (2009), 83-101
MSC: Primary 35G30; Secondary 35B35.
DOI: 10.4064/bc86-0-5
Abstract
The linearized stability of stationary solutions for the surface diffusion flow with a triple junction is studied. We derive the second variation of the energy functional under the constraint that the enclosed areas are preserved and show a linearized stability criterion with the help of the $H^{-1}$-gradient flow structure of the evolution problem and the analysis of eigenvalues of a corresponding differential operator.
