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Stability analysis of phase boundary motion by surface diffusion with triple junction
Garcke, Harald, 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.Date of publication of this fulltext: 24 Mar 2010 06:23
Article
DOI to cite this document: 10.5283/epub.13804
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.
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Details
| Item type | Article | ||||||
| Journal or Publication Title | Banach Center Publications | ||||||
| Place of Publication: | Regensburg | ||||||
|---|---|---|---|---|---|---|---|
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||
| Volume: | 86 | ||||||
| Page Range: | pp. 83-101 | ||||||
| Date | 2009 | ||||||
| Institutions | Mathematics > Prof. Dr. Harald Garcke | ||||||
| Classification |
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| Keywords | surface diffusion, triple junction, linearized stability | ||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||
| Status | Published | ||||||
| Refereed | Yes, this version has been refereed | ||||||
| Created at the University of Regensburg | Partially | ||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-138047 | ||||||
| Item ID | 13804 |
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