Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2008) NONLINEAR STABILITY OF STATIONARY SOLUTIONS FOR SURFACE DIFFUSION WITH BOUNDARY CONDITIONS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 40 (2). pp. 491-515. ISSN 0036-1410,
Full text not available from this repository. (Request a copy)Abstract
The volume-preserving fourth order surface diffusion flow has constant mean curvature hypersurfaces as stationary solutions. We show nonlinear stability of certain stationary curves in the plane which meet an exterior boundary with a prescribed contact angle. Methods include semigroup theory, energy arguments, geometric analysis, and variational calculus.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GEOMETRIC EVOLUTION-EQUATIONS; MOTION; AREA; FLOW; surface diffusion; nonlinear stability; energy method; variational calculus |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Nov 2020 11:14 |
| Last Modified: | 23 Nov 2020 11:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31777 |
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