Applied Math Talk: Nonlocal Helmholz-Hodge decompositions for nonlocal operators given by Prof. Petronela Radu (University of Nebraska – Lincoln)

Nonlocal theories have emerged with powerful models and methods to analyze and predict complex phenomena. Different versions of nonlocal operators have been proposed, each with its advantages and challenges. In this talk I will give an introduction to main ideas in the nonlocality framework and present two sets of results for Helmholtz-Hodge type decompositions.