Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2009) Stability analysis of phase boundary motion by surface diffusion with triple junction. Banach Center Publications 86, pp. 83-101.
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.
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|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||surface diffusion, triple junction, linearized stability|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Partially|
|Deposited On:||24 Mar 2010 06:23|
|Last Modified:||13 Mar 2014 13:11|