Dynamics of a degenerate PDE model of epitaxial crystal growth

PDE Seminar
Tuesday, April 17, 2018 - 3:00pm
1 hour (actually 50 minutes)
Skiles 006
Duke University
Epitaxial growth is an important physical process for forming solid films or other nano-structures.  It occurs as atoms, deposited from above, adsorb and diffuse on a crystal surface.  Modeling the rates that atoms hop and break bonds leads in the continuum limit to degenerate 4th-order PDE that involve exponential nonlinearity and the p-Laplacian with p=1, for example.  We discuss a number of analytical results for such models, some of which involve subgradient dynamics for Radon measure solutions.