free boundary problems

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

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

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.

Katerina Nik

Assistant Professor, Applied Mathematics and Computational Sciences

Partial Differential Equations free boundary problems calculus of variations Mathematical Biology Microelectromechanical fluid dynamics mean curvature flow

Professor Nik studies partial differential equations that describe phenomena in biological growth processes, fluid dynamics, and mechanical engineering.