Abels, Helmut and Schaubeck, Stefan (2015) Classical solutions for a modified Hele-Shaw model with elasticity. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 95 (12). pp. 1411-1427. ISSN 0044-2267, 1521-4001
Full text not available from this repository. (Request a copy)Abstract
For a large class of initial data, we prove the existence of classical solutions locally in time to a modified Hele-Shaw problem that takes elastic effects into account. The system arises as sharp interface model of a Cahn-Hilliard system coupled with linearized elasticity. By using the Hanzawa transformation, we can reduce the system to a single evolution equation for the height function. Then short time existence is proven by inverting the linearized operator and applying the contraction mapping principle. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | REGULARITY; Two-phase flow; sharp interface model; Hele-Shaw problem; free boundary problems; Mullins-Sekerka equation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 May 2019 11:13 |
| Last Modified: | 02 May 2019 11:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4358 |
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