Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 36 (4). pp. 1031-1056. ISSN 0036-1410,
Full text not available from this repository. (Request a copy)Abstract
The linearized stability of stationary solutions to the surface diffusion flow with angle conditions and no-flux conditions as boundary conditions is studied. We perform a linearized stability analysis in which the H-1-gradient flow structure plays a key role. As a byproduct our 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. Finally, we study the linearized stability of several examples.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CAHN-HILLIARD; MOTION; FLOW; surface diffusion; gradient flow; stability of stationary solutions; eigenvalues; isoperimetric problems |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Jun 2021 09:13 |
| Last Modified: | 21 Jun 2021 09:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36826 |
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