Dynamics of A Degenerate PDE Model of Epitaxial Crystal Growth
发布时间：2018年05月15日
浏览次数：6687
发布者: Xiaoni Tan
主讲人： JianGuo Liu (Duke University)
活动时间： 从 2018-06-01 16:00 到 17:00
场地： 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.
