Variational

A Unified Monotonicity Framework for Mean-Field Games

Rita A. Ferreira, Research Scientist, Mean-field Games and Nonlinear PDE

Apr 2, 12:00 - 13:00

B9 R2325

gamma-convergence asymptotic analysis variational analysis Variational mean-field games

In this talk, we discuss how monotone operator methods provide a unified approach to existence, uniqueness, and regularity in MFGs.

A Variational Theory of Aero-hydrodynamics

Haithem Taha, Associate Professor

Oct 24, 16:00 - 17:00

B5 L5 R5209

Euler equations aerodynamics Variational Navier-Stokes

The Euler equation does not possess a unique solution for the flow over a two-dimensional object. This problem has serious repercussions in aerodynamics; it implies that the inviscid aero-hydrodynamic lift force over a two-dimensional object cannot be determined from first principles; a closure condition must be provided. The Kutta condition has been ubiquitously considered for such closure in the literature, even in cases where it is not applicable (e.g. unsteady).