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Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions
Garcke, Harald, Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), pp. 1031-1056.Date of publication of this fulltext: 20 Nov 2009 07:02
Article
DOI to cite this document: 10.5283/epub.10962
Abstract
The linearized stability of stationary solutions to the surface diffusion flow with angle and no-flux boundary conditions is studied. In this linearized stability analysis the gradient flow structure plays a key role. As a byproduct the analysis also gives a criterion for the stability of critical points of the length functional of curves which come into contact with the outer boundary. Some examples of linearized stability are studied as well.
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Details
| Item type | Article |
| Journal or Publication Title | SIAM Journal on Mathematical Analysis |
| Publisher: | Society for Industrial and Applied Mathematics |
|---|---|
| Volume: | 36 |
| Number of Issue or Book Chapter: | 4 |
| Page Range: | pp. 1031-1056 |
| Date | 2005 |
| Institutions | Mathematics > Prof. Dr. Harald Garcke |
| Keywords | surface diffusion, gradient flow, stability of stationary solutions, eigenvalues, isoperimetric problems |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Published |
| Refereed | Unknown |
| Created at the University of Regensburg | Unknown |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-109622 |
| Item ID | 10962 |
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