Dynamics of A Degenerate PDE Model of Epitaxial Crystal Growth

2018-06-01 16:00 - 2018-06-01 17:00 Room 77201, Jingchunyuan 78, BICMR

\n\tEpitaxial 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.<\/span> \n<\/div>