Local well-posedness for relaxational fluid vesicle dynamics

Koehne, Matthias and Lengeler, Daniel (2018) Local well-posedness for relaxational fluid vesicle dynamics. JOURNAL OF EVOLUTION EQUATIONS, 18 (4). pp. 1787-1818. ISSN 1424-3199, 1424-3202

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Abstract

We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument. Our approach is based on the maximal regularity of the model's linearization.

Item Type: Article
Uncontrolled Keywords: NAVIER-STOKES EQUATIONS; HELFRICH FLOW; EXISTENCE; Stokes equations; Fluid dynamics; Biological membrane; Canham-Helfrich energy; Lipid bilayer; Local well-posedness; Maximal regularity
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Helmut Abels
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Oct 2019 06:18
Last Modified: 07 Oct 2019 06:18
URI: https://pred.uni-regensburg.de/id/eprint/13452

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