Garcke, Harald (2003) On Cahn-Hilliard systems with elasticity. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 133 (2). pp. 307-331. ISSN 0308-2105
Full text not available from this repository.Abstract
Elastic effects can have a pronounced effect on the phase-separation process in solids. The classical Ginzburg Landau energy can be modified to account for such elastic interactions. The evolution of the system is then governed by diffusion equations for the concentrations of the alloy components and by a quasi-static equilibrium for the mechanical part. The resulting system of equations is elliptic-parabolic and can be understood as a generalization of the Cahn-Hilliard equation. In this paper we give a derivation of the system and prove an existence and uniqueness result for it.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PHASE-SEPARATION; GINZBURG-LANDAU; SOLIDS; EQUATIONS; EVOLUTION; ALLOYS; MISFIT; MODEL; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Aug 2021 10:42 |
| Last Modified: | 05 Aug 2021 10:42 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39533 |
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