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Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization

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journal contribution
posted on 01.01.2015 by Irene Fonseca, Nicola Fusco, Giovanni Leoni, Massimiliano Morini

Short time existence for a surface diffusion evolution equation with curvature regularization is proved in the context of epitaxially strained three-dimensional films. This is achieved by implementing a minimizing movement scheme, which is hinged on the H−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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