Stability analysis of phase boundary motion by surface diffusion with triple junction

Harald Garcke, Kazuo Ito, and Yoshihito Kohsaka. "Stability analysis of phase boundary motion by surface diffusion with triple junction." Banach Center Publications 86.1 (2009): 83-101. <http://eudml.org/doc/282019>.

@article{HaraldGarcke2009,
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.},
author = {Harald Garcke, Kazuo Ito, Yoshihito Kohsaka},
journal = {Banach Center Publications},
keywords = {linearized stability},
language = {eng},
number = {1},
pages = {83-101},
title = {Stability analysis of phase boundary motion by surface diffusion with triple junction},
url = {http://eudml.org/doc/282019},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Harald Garcke
AU - Kazuo Ito
AU - Yoshihito Kohsaka
TI - Stability analysis of phase boundary motion by surface diffusion with triple junction
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 83
EP - 101
AB - 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.
LA - eng
KW - linearized stability
UR - http://eudml.org/doc/282019
ER -