Abels, Helmut and Marquardt, Andreas (2021) On a linearized Mullins-Sekerka/Stokes system for two-phase flows. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 14 (11). pp. 3973-3987. ISSN 1937-1632, 1937-1179
Full text not available from this repository. (Request a copy)Abstract
We study a linearized Mullins-Sekerka/Stokes system in a bounded domain with various boundary conditions. This system plays an important role to prove the convergence of a Stokes/Cahn-Hilliard system to its sharp interface limit, which is a Stokes/Mullins-Sekerka system, and to prove solvability of the latter system locally in time. We prove solvability of the linearized system in suitable L-2-Sobolev spaces with the aid of a maximal regularity result for non-autonomous abstract linear evolution equations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Two-phase flow; sharp interface limit; Cahn-Hilliard equation; free boundary problems; Mullins-Sekerka equation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Jul 2022 06:19 |
| Last Modified: | 06 Jul 2022 06:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45735 |
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