An overview of Sweeping Processes with applications.

Abstract: The Moreau’s Sweeping Process is a first-order differential
inclusion, involving the normal cone to a moving set depending on time. It
was introduced and deeply studied by J.J. Moreau in the 1970s as a model
for an elastoplastic mechanical system. Since then, many other
applications have been given, and new variants have appeared. In this
talk, we review the latest developments in the theory of sweeping
processes and its variants. We highlight open questions and provide some
applications.

Posted on Aug 18, 2020 in Optimization and Equilibrium, Seminars