Motion of elastic thin films by anisotropic surface diffusion with curvature regularization

Abstract

We discuss short time existence for a surface diffusion evolution equation with curvature regularization in the context of epitaxially strained three-dimensional films. This is achieved by implementing a minimizing movement scheme, which is hinged on the H−1H^{-1}-gradient flow structure underpinning the evolution law. Long-time behavior and Liapunov stability in the case of initial data close to a flat configuration are also addressed

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    Last time updated on 12/11/2016

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