Abels, Helmut and Arab, Nasrin and Garcke, Harald (2021) Standard planar double bubbles are dynamically stable under surface diffusion flow. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 29 (5). pp. 1007-1060. ISSN 1019-8385, 1944-9992
Full text not available from this repository. (Request a copy)Abstract
Although standard planar double bubbles are stable in the sense that the second variation of the perimeter functional is non-negative for all area-preserving perturbations the question arises whether they are dynamically stable. By presenting connections between these two concepts of stability for double bubbles, we prove that standard planar double bubbles are dynamically stable under the surface diffusion flow via the generalized principle of linearized stability in parabolic Holder spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MEAN-CURVATURE FLOW; TRIPLE JUNCTIONS; CONVERGENCE; EQUILIBRIA |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Aug 2022 04:50 |
| Last Modified: | 23 Aug 2022 04:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46794 |
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