Fourth order models for crystal surface fluctuations

Jeudi 12 septembre 14:00-15:00 - Jeremy Marzuola - University of North Carolina

Résumé : We will discuss derivations, dynamics, numerical approximations, recent analytical advances and open questions for a family of 4th order nonlinear PDEs that arise when modeling the fluctuations of a crystal surface. The microscopic problem follows from a continuous time jump Markov process where the jumps occur randomly with rates set from a generalized broken-bond Kinetic Monte Carlo model. The PDEs have a similar look to those of the thin film equations that have been studied by a large number of authors. We will discuss work on this problem with Jonathan Weare, as well as Jian-Guo Liu, Jianfeng Lu and Dio Margetis ; and recent developments with Yuan Gao, Amarjit Budhiraja and Anya Katsevich.

Lieu : IMO, Salle 3L8

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