On 4th order nonlinear thin-film like PDEs describing crystal surface evolution

Abstract: We discuss recent results with a number of collaborators on PDEs relating to the relaxation of a crystal surface. After a brief overview of the motivating microscopic process that leads to the models, we will present results on the well-posedness of these models in various settings. Towards the end, we will show numerical evidence to motivate a number of open questions about this family of models.

analysis of PDEs

Audience: researchers in the topic

PDE seminar via Zoom