Difference approximation to Aubry-Mather sets of the forced Burgers equation (Q2918655)

This article deals with the inviscid forced Burgers equation with a \(\mathbb{Z}^2\)-periodic forcing term. The authors propose a numerical approach which consists in the construction of \(\mathbb{Z}^2\)-periodic entropy solutions of the considered equation by means of the Lax-Friedrichs scheme and in the application of this result to a difference approximation of the Aubry-Mather sets, based on their dynamical properties.