Dynamics of A Degenerate PDE Model of Epitaxial Crystal Growth
主 题: Dynamics of A Degenerate PDE Model of Epitaxial Crystal Growth
报告人: JianGuo Liu (Duke University)
时 间: 2018-06-01 16:00 - 2018-06-01 17:00
地 点: Room 77201, Jingchunyuan 78, BICMR
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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.<\/span> \n<\/div>
