Garcke, Harald (2005) On a Cahn-Hilliard model for phase separation with elastic misfit. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 22 (2). pp. 165-185. ISSN 0294-1449,
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Existence of solutions to a Cahn-Hilliard system taking elastic stresses into account is shown. The analysis is hindered by a logarithmic singularity and a quadratic term in the displacement gradient. This makes careful a priori estimates for both terms necessary. In particular, a global version of L-P-estimates for gradients of nonlinear elliptic systems is shown in order to control the logarithmic singularity. (c) 2005 Elsevier SAS. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | IRREVERSIBLE-PROCESSES; RECIPROCAL RELATIONS; SOLIDS; SYSTEMS; ALLOYS; STRESS; Cahn-Hilliard systems; elasticity; regularity; elliptic-parabolic systems; phase transition |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 May 2021 14:23 |
| Last Modified: | 31 May 2021 14:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36616 |
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