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Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models
Adriano Festa, Simone Gottlich, Michele Ricciardi
While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the correspondin…
A model for a network of conveyor belts with discontinuous speed and capacity
Adriano Festa, Simone Göttlich, Marion Pfirsching
We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced t…
An Adjoint-based Numerical Method for a class of nonlinear Fokker-Planck Equations
Adriano Festa, Diogo A. Gomes, Roberto M. Velho
Here, we introduce a numerical approach for a class of Fokker-Planck (FP) equations. These equations are the adjoint of the linearization of Hamilton-Jacobi (HJ) equations. Using t…