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Existence of weak solutions to stationary mean-field games By Dr. Rita Ferreira (KAUST)

Class schedule: Thursday, February 25th, 2016​ from 12:00 to 1:00pm

Location:   Building 9, Lecture Hall I Room 2322

In this seminar, we will address the problem of existence of weak solutions to stationary monotone mean-field games. We introduce a notion of weak solution and prove the existence of such weak solutions under a minimal set of assumptions. We will also examine the properties of these solutions in several examples. Our approach is based on monotone operator methods and provides a general framework to construct weak solutions to stationary MFGs with local, nonlocal, or congestion terms.

Rita Ferreira is a Research Scientist at the CEMSE Division since October 2014.  Before joining KAUST, she was a Pos-Doc Fellow at Instituto Superior Técnico of the University of Lisbon (IST-UL) and a Visiting Assistant Professor at the Department of Mathematics of the Faculdade de Ciências e Tecnologia of the New University of Lisbon (FCT-UNL), Portugal. She received her dual PhD degree in Mathematics at Carnegie Mellon University (CMU), USA, and at New University of Lisbon (UNL), Portugal, in 2011 under the supervision of Prof. Irene Fonseca (CMU) and Prof. Luísa Mascarenhas (UNL). Her research interests lie in the areas of Partial Differential Equations, Continuum Mechanics, Calculus of Variations, and Homogenization. Her research activities have been focused on asymptotic analysis using variational methods of dimension reduction and homogenization problems. Currently, she is very interested in the mathematical study of problems in imaging processing and in mean-field games.