Garcke, Harald and Menzel, Julia and Pluda, Alessandra (2020) Long time existence of solutions to an elastic flow of networks. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 45 (10). pp. 1253-1305. ISSN 0360-5302, 1532-4133
Full text not available from this repository. (Request a copy)Abstract
TheL(2)-gradient flow of the elastic energy of networks leads to a Willmore type evolution law with non-trivial nonlinear boundary conditions. We show local in time existence and uniqueness for this elastic flow of networks in a Sobolev space setting under natural boundary conditions. In addition, we show a regularisation property and geometric existence and uniqueness. The main result is a long time existence result using energy methods.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TRIPLE JUNCTIONS; CURVATURE; CURVES; MOTION; EVOLUTION; L-2-FLOW; Geometric evolution equations; networks; parabolic system of fourth order; Willmore flow; Primary; Secondary |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2021 07:22 |
| Last Modified: | 23 Mar 2021 07:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/44468 |
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