Welcome to the Workshop for Nonlocal Models in Mathematics, Computation, Science, and Engineering.
Nonlocal models have drawn increasing interest from scientific and engineering communities in recent years, due to their ability to describe physical processes which are not well described by classical local theories. In solid mechanics, for instance, peridynamic models have been proposed to model material failure and damage, since they can naturally represent crack nucleation and growth, unlike classical continuum mechanics models. Nonlocal continuum models have been also proposed to describe anomalous diffusion and transport, which are not correctly modeled by classical theories. Nonlocal models possess length scales, which motivates their use as multiscale models in capturing microstucture influence on the macroscopic behavior of materials. Although there have been many recent advancements in the understanding of nonlocal models, there remains much to be explored.
The purpose of the workshop is to bring together experts from the mathematical, computational, scientific, and engineering communities who work with nonlocal models and provide a platform for the exchange of ideas. The workshop is intended to survey the state-of-the-art in modeling, mathematical analysis, and computational practice for nonlocal theories, while exploring new application domains and promoting new collaborations.