Lengeler, Daniel (2018) Asymptotic stability of local Helfrich minimizers. INTERFACES AND FREE BOUNDARIES, 20 (4). pp. 533-550. ISSN 1463-9963, 1463-9971
Full text not available from this repository. (Request a copy)Abstract
We show that local minimizers of the Canham-Helfrich energy are asymptotically stable with respect to a model for relaxational fluid vesicle dynamics that we already studied in previous papers ([13, 14]). The proof is based on a Lojasiewicz-Simon inequality.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EVOLUTION-EQUATIONS; CONVERGENCE; MEMBRANES; ENERGY; SHAPE; Willmore energy; Canham-Helfrich energy; gradient flow; geometric flow; Willmore flow; Helfrich flow; Helfrich equation; Stokes system; linear elliptic system; fluid dynamics; biological membrane; lipid bilayer; well-posedness; stability |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2020 11:36 |
| Last Modified: | 23 Mar 2020 11:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15270 |
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