Mathematics PDE Seminar Series: Petronela Radu, Nonlocality: analysis and modeling perspectives
peaker: Petronela Radu (University of Nebraska-Lincoln)
Date: Tuesday, February 25, 2025
Link: https://wayne-edu.zoom.us/j/99210289207?pwd=NFMvazN4WnZxWEpOQXQ5MXFlYlhLUT09
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wayne-edu.zoom.us
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Title: Nonlocality: analysis and modeling perspectives
Abstract: The emergence of nonlocal theories as promising models in different areas of science (continuum mechanics, biology, image processing) has led the mathematical community to conduct varied investigations of systems of integro-differential equations. In this talk, I will present results for systems of integral equations with weakly singular kernels, flux-type boundary conditions, as well as some recent results on nonlocal Helmholtz-Hodge type decompositions with applications at both, theoretical, and applied levels.