Theoretical and Applied Aspects for nonlocal Models (22w5102)


(University of Nebraska Lincoln)

Lia Bronsard (McMaster University)

Kaushik Dayal (Carnegie Mellon University)

Ihsan Topaloglu (Virginia Commonwealth University)


The Banff International Research Station will host the "Theoretical and Applied Aspects for nonlocal Models" workshop in Banff from July 17 - 22, 2022.

Classical models in Continuum Mechanics are set in a differential framework which assumes that solutions of the systems must be smooth. However, in a variety of applications, the functions may exhibit singularities, discontinuities so classical equations can not hold. The framework of integral operators assumes little regularity or smoothness for the inputs, thus making it ideal in applications such as image processing, biology models, dynamic fracture. While applied communities have been using nonlocal models successfully, their rigorous mathematical analysis still lacks foundational results that would be needed in complex applications that exhibit a sudden change in behavior or material, or for which there would be a nonlinear response. The group of researchers that take part in this workshop will outline main challenges in the field, methods for tackling them, as well as present significant recent developments.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).