Date of Original Version

2012

Type

Article

Rights Management

The final publication is available at Springer via http://dx.doi.org/10.1007/s00205-014-0730-4

Abstract or Description

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].

DOI

10.1007/s00205-014-0730-4

Included in

Mathematics Commons

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Published In

Archive for Rational Mechanics and Analysis, 212, 3, 1037-1064.