mean-field models

First-Order Mean-Field Games with Entry-Exit Flow Constraints and Contact-Set Conditions

AbdulRahman Alharbi, Ph.D. Student, Applied Mathematics and Computational Science

May 4, 12:30 - 14:30

B9 L4 R4225; Zoom Meeting 95071981979

mean-field models free boundary problems

This dissertation develops and rigorously analyzes first-order mean-field game models incorporating novel mixed boundary conditions to realistically represent population dynamics in bounded domains by eliminating unrealistic entry phenomena that are typically induced by standard Dirichlet conditions.

Mean-field Games and Nonlinear PDE Research Group

Partial Differential Equations numerical analysis mean-field models

Professor Diogo Gomes leads the so-called MFG research group, which stands for Mean-field Games and Nonlinear PDE Research group areas of expertise and current scientific interests: partial differential equations, mean-field models, numerical analysis Professor Gomes’s research interests are in partial differential equations (PDE), namely on viscosity solutions of elliptic, parabolic and Hamilton-Jacobi equations as well as in related mean-field models. This area includes a large class of PDEs and examples, ranging from classical linear equations to highly nonlinear PDEs, including the Monge