gamma-convergence

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.

Asymptotic properties of composites

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

Mar 14, 12:00 - 13:00

B9 L2 R2322 H1

gamma-convergence Asymptotic Performance Analysis

In this talk, I will start with an overview of my research to date. Then, I will address in more detail the study of the asymptotic behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. More precisely, we consider materials arranged into periodically alternated thin horizontal strips of an elastically rigid component and a softer one with one active slip system. The energies arising from our modeling assumptions are of integral form, featuring linear growth and non-standard differential constraints.

Rita A. Ferreira

Research Scientist, Mean-field Games and Nonlinear PDE

gamma-convergence Asymptotic Performance Analysis

Rita's research activities intersect applied and pure mathematics and are driven by applications to physical and socio-economic sciences and engineering.