About Melih Ucer Melih Ucer Postdoctoral Research Fellow, Applied Mathematics and Computational Science Events Presented Events Dec 7 - Dec 13, 2025 Mean Field Games: From Many-Player Games to PDEs Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Dec 11, 12:00 - 13:00 B9, L2, R2325 mean field games hamilton–jacobi equations monotone operator theory This talk will introduce the basic concepts of mean field games, beginning with the mean field limit that describes systems with infinitely many infinitesimal players. Jan 26 - Feb 1, 2025 Singular Points of Solutions of Hamilton-Jacobi Equations Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Jan 30, 12:00 - 13:00 B9, L2, R2325 The Hamilton-Jacobi equation is a prototypical nonlinear first-order PDE which appears in various settings including dynamical systems, optimal control, differential games, etc. where some action/value function solves this PDE. However, these action/value functions are often not smooth on the entire domain, and indeed the Hamilton-Jacobi equation often does not admit globally smooth solutions. Dec 1 - Dec 7, 2024 Monotone Operator methods for proving existence of solutions to Dirichlet-type problems Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Dec 4, 14:15 - 15:15 B1, L4, R4214 I will discuss several standard techniques for proving existence of solutions to boundary value problems involving second-order elliptic PDE.
Mean Field Games: From Many-Player Games to PDEs Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Dec 11, 12:00 - 13:00 B9, L2, R2325 mean field games hamilton–jacobi equations monotone operator theory This talk will introduce the basic concepts of mean field games, beginning with the mean field limit that describes systems with infinitely many infinitesimal players.
Singular Points of Solutions of Hamilton-Jacobi Equations Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Jan 30, 12:00 - 13:00 B9, L2, R2325 The Hamilton-Jacobi equation is a prototypical nonlinear first-order PDE which appears in various settings including dynamical systems, optimal control, differential games, etc. where some action/value function solves this PDE. However, these action/value functions are often not smooth on the entire domain, and indeed the Hamilton-Jacobi equation often does not admit globally smooth solutions.
Monotone Operator methods for proving existence of solutions to Dirichlet-type problems Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Dec 4, 14:15 - 15:15 B1, L4, R4214 I will discuss several standard techniques for proving existence of solutions to boundary value problems involving second-order elliptic PDE.
Engage ORCID LinkedIn ShareClipboard Related Sites Applied Mathematics and Computational Science (AMCS) Mean-field Games and Nonlinear PDE (MFG) Events Mean Field Games: From Many-Player Games to PDEs Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Dec 11, 12:00 - 13:00 B9, L2, R2325 mean field games hamilton–jacobi equations monotone operator theory Related Content Events 3 Related Links Melih Ucer profile on Google Scholar
Mean Field Games: From Many-Player Games to PDEs Melih Ucer, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Dec 11, 12:00 - 13:00 B9, L2, R2325 mean field games hamilton–jacobi equations monotone operator theory
