Speaker: Dr. Nguyen Nang Thieu Place: Online via Zoom, Zoom ID: 987 9649 9819 / Passcode: ams Time:
About the speaker
Dr. Thieu Nguyen graduated from the University of Limoges with Ph.D. in Applied Mathematics and graduated from Hanoi University of Science, Vietnam National University with Bachelor’s degree in Mathematics, Mechanics, and Informatics. His research interests are in Nonsmooth Dynamical Systems, Optimization, and Variational Analysis.
Abstract
Among many nonsmooth dynamical systems, sweeping processes have been recognized significantly for their broad applications in mechanics, physics, engineering, and social sciences. Pioneered by J. J. Moreau, sweeping processes have been studied and developed intensively in the last 50 years. In this talk, we will discuss a class of sweeping processes. Namely, we obtain solution existence theorems for perturbed sweeping processes, which are analogies to the two well-known Peano and Picard-Lindelöf theorems in ordinary differential equations. The convexity assumption on the constraint sets is weakened and replaced by a natural and effective generalization of convexity so-called prox-regularity. The results are applied to analyzing the behavior of some concrete mechanical sweeping processes.