Cahn-Hilliard Equations incorporating Elasticity: Analysis and Comparison to Experiments
Philosophical transactions A. Bd. 371. H. 2005. London: The Royal Society 2013 16
Erscheinungsjahr: 2013
ISBN/ISSN: 1471-2962
Publikationstyp: Zeitschriftenaufsatz
Sprache: Englisch
Doi/URN: 10.1098/rsta.2012.0342
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Inhaltszusammenfassung
We consider a generalization of the Cahn–Hilliard equation that incorporates an elastic energy density which, being quasi-convex, incorporates micro-structure formation on smaller length scales. We explore the global existence of weak solutions in two and three dimensions. We compare theoretical predictions with experimental observations of coarsening in superalloys.
Klassifikation
DFG Fachgebiet:
Mathematik
DDC Sachgruppe:
Mathematik