Brown Analysis Seminar
Special Late Announcement
Scientific Computing Seminar
PDE Seminar
Abstract: The microscopic mechanisms of epitaxial growth have been known for 50 years, but we are still far from mastering their mesoscopic consequences. I will discuss two topics of this type:
(a) The analysis of coarsening during spiral growth (joint work with Tim Schulze). The starting point is a simple, geometric model of spiral growth, which gives a Hamilton-Jacobi equation for the height of the growing film. The coarsening behavior is obtained by examining the Hopf-Lax solution formula.
(b) The analysis of coarsening during step-flow growth, associated with step-bunching (PhD thesis work of Cameron Connell). The starting point is a reaction-diffusion model proposed by J. Kandel and D. Weeks. The coarsening in this setting is due to collision of traveling waves.
Department of Mathematics Colloquium
<--- 2000 Index