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math.AP2026
A minimax Bilinear Transport Problem and Nash-Monge-Kantorovich Maps
Rene Cabrera, Edward Huynh
We study a min-max bilinear transport problem arising from a two-player zero-sum game with quadratic kinetic and interaction costs. Starting from a dynamic path space formulation,…
math.AP2024
Regularization estimates of the Landau-Coulomb diffusion
Rene Cabrera, Maria Gualdani, Nestor Guillen
The Landau-Coulomb equation is an important model in plasma physics featuring both nonlinear diffusion and reaction terms. In this manuscript we focus on the diffusion operator wit…