Dr. Klibanov and Dr. McGoff awarded NSF Grant

Congratulations to Dr. Mikhail Klibanov and Dr. Kevin McGoff on receiving an NSF DMS grant for $535,680 together with PI Shi Chen and other collaborators from Public Health. Their project title is ” MPOPHC: A Novel Mean-Field Game Modeling Framework with Interdependent Health Policies and Public Opinions Feedback Loop for Real-Time Public Health Decision Support” A brief explanation of this project is as follows —
“The theory of Mean Field Games was originally developed 18 years ago by two prominent French mathematicians Jean Lasry and Pierre Lions. A truly attractive property of this theory is that it can be used to describe many social phenomena via a system of two nonlinear parabolic partial differential equations. All that is needed is to obtain a proper mathematical model. Inverse problems are necessary to calibrate those models. Michael Klibanov has started his work on Mean Field Games in December 2022. He has introduced the tool of Carleman estimates in this field and has published nine works on this topic since then. Kevin McGoff has provided a crucial mathematical modeling apparatus to the proposal. The award is about both analytical and numerical aspects of Mean Field Games to be applied to evaluate public opinions to support public health decision making. Both computationally simulated and experimental data will be treated.