2 papers
math.AP2019
Two-scale homogenization of a stationary mean-field game
Rita Ferreira, Diogo Gomes, Xianjin Yang
In this paper, we characterize the asymptotic behavior of a first-order stationary mean-field game (MFG) with a logarithm coupling, a quadratic Hamiltonian, and a periodically osci…
math.NA2018
The Hessian Riemannian flow and Newton's method for Effective Hamiltonians and Mather measures
Diogo A. Gomes, Xianjin Yang
Effective Hamiltonians arise in several problems, including homogenization of Hamilton--Jacobi equations, nonlinear control systems, Hamiltonian dynamics, and Aubry--Mather theory.…