Garcke, Harald and Niethammer, Barbara and Rumpf, Martin and Weikard, Ulrich (2003) Transient coarsening behaviour in the Cahn-Hilliard model. ACTA MATERIALIA, 51 (10). pp. 2823-2830. ISSN 1359-6454
Full text not available from this repository.Abstract
We study two-dimensional coarsening by simulations for the Cahn-Hilliard model. A scale invariance of the sharp interface limit of this model suggests that the characteristic length scale grows proportional to t(1/3), respectively the energy density decreases as t(-1/3). We compare the coarsening dynamics for different choices of data for different volume fractions. We observe that, depending on the specific data, the coarsening process can, over a large time window, be much slower than expected by dimensional analysis. (C) 2003 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EQUATION; PHASE; Cahn-Hilliard equation; fourth order parabolic equation; finite element approximation; second order time discretization; 35K35; 35K55; 65L-50; 65M12; 65M15; 65M60; 82B26 |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Aug 2021 05:34 |
| Last Modified: | 11 Aug 2021 05:34 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38901 |
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