Abels, Helmut and Garcke, Harald and Mueller, Lars (2015) Stability of spherical caps under the volume-preserving mean curvature flow with line tension. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 117. pp. 8-37. ISSN 0362-546X, 1873-5215
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We show stability of spherical caps (SCs) lying on a flat surface, where the motion is governed by the volume-preserving Mean Curvature Flow (MCF). Moreover, we introduce a dynamic boundary condition that models a line tension effect on the boundary. The proof is based on the generalized principle of linearized stability. (C) 2015 Elsevier Ltd. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SURFACES; REGULARITY; SPHERES; CURVES; ENERGY; MOTION; Mean curvature flow; Stability; Dynamic boundary conditions; Line energy; Spherical caps |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jul 2019 12:43 |
| Last Modified: | 23 Jul 2019 12:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/5748 |
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