Wednesday, August 9

Nonlocal Equations: Theory and Applications

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
Brigham Young University, USA
Xiaofeng Ren
Utah State University, USA
4:00-4:25 Phase Transition Models with Spontaneous Nucleation and Other Unexpected Dynamics
Paul C. Fife, University of Utah, USA
4:30-4:55 Continuum-discrete Models and Nonlocal Interactions
Robert Rogers, Virginia Polytechnic Institute and State University, USA
5:00-5:25 Traveling Waves in Time-dependent Bistable Lattice Dynamical Systems
Wenxian Shen, Auburn University, USA
5:30-5:55 Almost Periodic Traveling Waves of Nonlocal Evolution Equations
Fengxin Chen, University of Texas, San Antonio, USA; and Peter Bates, Brigham Young University

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