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Publication 3

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

Authors:

CMUIrene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


Nicola Fusco
University of Napoli
Naples, Italy


CMUGiovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


SISSAMassimiliano Morini
SISSA
Trieste, Italy


Abstract:
Short time existence, uniqueness, and regularity for a surface diffusion evolution equation with curvature regularization are proved in the context of epitaxially strained two-dimensional 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 geometric evolution equation in the presence of elasticity.
Get the paper in its entirety
11-CNA-002.pdf

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