Regularity properties of equilibrium configurations of epitaxially strained elastic films

doi:https://doi.org/10.1007/978-88-7642-427-4_3

Regularity properties of equilibrium configurations of epitaxially strained elastic films

Bruno De Maria,Nicola Fusco-2012-01-01-Edizioni della Normale eBooks

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TL;DRAbstract

We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a rigid substrate, when a lattice mismatch between the two materials is present. We establish the regularity of volume constrained local minimizers of the total energy, proving in particular the so called zero contact-angle condition between the film and the substrate.

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We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a rigid substrate, when a lattice mismatch between the two materials is present. We establish the regularity of volume constrained local minimizers of the total energy, proving in particular the so called zero contact-angle condition between the film and the substrate.

Keywords

EpitaxyElastic energyLattice (music)Substrate (aquarium)Materials scienceCondensed matter physicsZero (linguistics)Mechanics

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