Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization
Any type of content formally published in an academic journal, usually following a peer-review process.
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.