Scaling Law and Reduced Models for Epitaxially Strained Crystalline Films

Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films

A Model for Dislocations in Epitaxially Strained Elastic Films

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

A Model for Dislocations in Epitaxially Strained Elastic Films

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

Study of island formation in epitaxially strained films on unbounded domains

We consider a variational model related to the formation of islands in heteroepitaxial growth on unbounded domains. We first derive the scaling regimes of the minimal energy in terms of the volume of the film and the amplitude of the crystallographic misfit. For small volumes, non-existence of minimizers is then proven. This corresponds to the experimentally observed wetting effect. On the othe...

Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization

Short time existence, uniqueness, and regularity for a surface diffusion evolution equation with curvature regularization are proved in the context of epitaxially strained twodimensional films. This is achieved by using the H−1-gradient flow structure of the evolution law, via De Giorgi’s minimizing movements. This seems to be the first short time existence result for a surface diffusion type g...