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Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces

TitleAnalytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces
Publication TypeJournal Article
Year of Publication2013
AuthorsDal Maso, G, Fonseca, I, Leoni, G
Keywordssingular nonlinear parabolic equations, Hilbert transform, thin films
Abstract

In this paper it is shown existence of weak solutions of a variational inequality derived from the continuum model introduced by Xiang [7, formula (3.62)] (see also the work of Xiang and E [8] and Xu and Xiang [9]) to describe the self-organization of terraces and steps driven by misfit elasticity between a film and a substrate in heteroepitaxial
growth. This model is obtained as a continuum limit of discrete theories of Duport, Politi, and Villain [3] and Tersoff, Phang, Zhang, and Lagally[6].

URLhttp://hdl.handle.net/1963/7245
DOI10.1007/s00205-014-0730-4

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