Deutsch
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.
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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.
| Item Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| Institutions: | Mathematics > Prof. Dr. Harald Garcke | ||||||
| Classification: |
| ||||||
| Keywords: | surface diffusion, triple junction, linearized stability | ||||||
| Subjects: | 500 Science > 510 Mathematics | ||||||
| Status: | Published | ||||||
| Refereed: | Yes, this version has been refereed | ||||||
| Created at the University of Regensburg: | Partially | ||||||
| Owner: | Eva Ruetz | ||||||
| Deposited On: | 24 Mar 2010 07:23 | ||||||
| Last Modified: | 21 Jul 2011 00:24 | ||||||
| Item ID: | 13804 |
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