3 papers
math.AP2025
Monotone Multispecies Flows
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We present a novel notion of -monotonicity for an -species system of partial differential equations governed by mass-preserving flow dynamics, extending monotonicity in Banac…
math.OC2025
Computing Optimal Transport Plans via Min-Max Gradient Flows
Lauren Conger, Franca Hoffmann, Ricardo Baptista +1
We pose the Kantorovich optimal transport problem as a min-max problem with a Nash equilibrium that can be obtained dynamically via a two-player game, providing a framework for app…
math.AP2024
Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We propose a framework for two-player infinite-dimensional games with cooperative or competitive structure. These games take the form of coupled partial differential equations in w…