Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization
Irene Fonseca, Nicola Fusco, Giovanni Leoni, Massimiliano Morini · Analysis & PDE · 2015
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. MSC2010: primary 35K25,