Dynamics of A Degenerate PDE Model of Epitaxial Crystal Growth
Time: 2018-05-15
Published By: Xiaoni Tan
Speaker(s): JianGuo Liu (Duke University)
Time: 16:00-17:00 June 1, 2018
Venue: Room 77201, Jingchunyuan 78, BICMR
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.
