Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Jeremy Louis Marzuola , University of North Carolina at Chapel Hill | Inviter: | | Title: | On 4th order nonlinear thin-film like PDEs describing crystal surface evolution | Time & Venue: | 2021.11.04 21:00-21:50 Zoom Meeting ID: 982 4274 5864 Passcode: M35hJ9 | 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. | | | |