Hamilton-Jacobi Equations and Mean Field Games: From Modeling to Numerics via Analysis

Building on Lax’s Idea: Quantitative Compactness Estimates for Numerical Solutions of First-Order Nonlinear PDEs

1 Oct 2026, 15:00

30m

Aula Dini (Palazzo del Castelletto)

Speaker

Alessio Basti (Università G. D'Annunzio di Chieti-Pescara)

Description

In my talk, I will discuss recent results on Kolmogorov ε-entropy for numerical approximations of scalar conservation laws and Hamilton-Jacobi equations. The analysis provides quantitative compactness estimates and entropy-transfer principles linking exact and discrete solution sets, yielding an information-theoretic perspective on complexity preservation and the resolution of numerical schemes in the sense introduced by P. D. Lax.