4:00 PM-6:00 PM
Orchard & Pikake (Salon 7 & 8)
Nonlocal equations arise in many physical models such as neural networks, binary materials, population dynamics, lattices, etc. In fact, going back to Van der Waals' work, many classical equations (e.g., Fisher-KPP, Ginzburg-Landau, Cahn-Hilliard) have been derived as certain first-order approximations of nonlocal models. Recently, modern analysis (e.g., comparison methods, calculus of variations, functional analysis) has been helpful in the study of some nonlocal equations. In particular, in some cases, pattern formation has been discovered (e.g., pinning, periodic local minimizers). The speakers in this minisymposium will discuss some of these issues and present their models and techniques in detail.
Organizers: Adam Chmaj