Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) SURFACE DIFFUSION WITH TRIPLE JUNCTIONS: A STABILITY CRITERION FOR STATIONARY SOLUTIONS. ADVANCES IN DIFFERENTIAL EQUATIONS, 15 (5-6). pp. 437-472. ISSN 1079-9389,
Full text not available from this repository.Abstract
We study a fourth-order geometric evolution problem on a network of curves in a bounded domain Omega. The flow decreases a weighted total length of the curves and preserves the enclosed volumes. Stationary solutions of the flow are critical points of a partition problem in Omega. In this paper we study the linearized stability of stationary solutions using the H(-1)-gradient flow structure of the problem. Important issues are the development of an appropriate PDE formulation of the geometric problem and Poincare type estimate on a network of curves.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FLOW; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Aug 2020 11:57 |
| Last Modified: | 04 Aug 2020 11:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/24746 |
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