Depner, Daniel and Garcke, Harald and Kohsaka, Yoshihito (2014) Mean Curvature Flow with Triple Junctions in Higher Space Dimensions. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 211 (1). pp. 301-334. ISSN 0003-9527, 1432-0673
Full text not available from this repository. (Request a copy)Abstract
We consider mean curvature flow of n-dimensional surface clusters. At (n-1)-dimensional triple junctions an angle condition is required which in the symmetric case reduces to the well-known 120A degrees angle condition. Using a novel parametrization of evolving surface clusters and a new existence and regularity approach for parabolic equations on surface clusters we show local well-posedness by a contraction argument in parabolic Holder spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BOUNDARY-CONDITIONS; MOTION; EVOLUTION; STABILITY; SURFACES; EQUATION; GRAPHS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Dec 2019 14:26 |
| Last Modified: | 02 Dec 2019 14:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/11101 |
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