12 citations · 12 across the 4 of their papers we have counts for
5 papers
Periodic limit for non-autonomous Lagrangian systems and applications to a Kuramoto type model
Veronica Danesi, Cristian Mendico, Xuan Tao +1
This paper explores the asymptotic properties of non-autonomous Lagrangian systems, assuming that the associated Tonelli Lagrangian converges to a time-periodic function. Specifica…
Discretization and Vanishing Discount Problems for First-order Mean Field Games
Renato Iturriaga, Cristian Mendico, Kaizhi Wang +1
This article focuses two issues related to the first-order discounted mean field games system. The first is the time discretization problem. The time discretization approach enable…
Relaxed Lagrangian Approach to First-Order Non-Convex Mean Field Type Control Problem
Cristian Mendico, Kaizhi Wang, Yuchen Xu
This paper addresses the existence of equilibria for Mean Field type Control problems of first-order with non-convex action functional. Introducing a relaxed Lagrangian approach on…
A semi-discrete approximation for first-order stationary mean field games
Renato Iturriaga, Kaizhi Wang
We provide an approximation scheme for first-order stationary mean field games with a separable Hamiltonian. First, we discretize Hamilton-Jacobi equations by discretizing in time,…
Weak KAM approach to first-order Mean Field Games with state constraints
Piermarco Cannarsa, Wei Cheng, Cristian Mendico +1
We study the asymptotic behavior of solutions to the constrained MFG system as the time horizon goes to infinity. For this purpose, we analyze first Hamilton-Jacobi equations w…