Abels, Helmut and Kampmann, Johannes (2021) Existence of weak solutions for a sharp interface model for phase separation on biological membranes. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 14 (1). pp. 331-351. ISSN 1937-1632, 1937-1179
Full text not available from this repository. (Request a copy)Abstract
We prove existence of weak solutions of a Mullins-Sekerka equation on a surface that is coupled to diffusion equations in a bulk domain and on the boundary. This model arises as a sharp interface limit of a phase field model to describe the formation of liqid rafts on a cell membrane. The solutions are constructed with the aid of an implicit time discretization and tools from geometric measure theory to pass to the limit.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MEAN-CURVATURE; Lipid rafts; Mullins-Sekerka equation; free boundary value problem; PDE on surfaces; implicit time discretization |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Jul 2022 07:24 |
| Last Modified: | 06 Jul 2022 07:24 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45761 |
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