Controle ótimo em equações de ondas via equilíbrios de Nash e Pareto

The objective of this work is to making a theoretical and numerical study on bi-objective optimal control for the linear and semi-linear wave equations, via Nash and Pareto equilibrium strategies, in three-dimensional domains. Due to being related to an optimization process, we will use cost functional minimization, formulated in combination with some strategies related to Nash Equilibrium and Pareto Equilibrium. We will use the FreeFem++ software to transcribe the theoretical problems to the C++ programming language, describing the spatial discretization data through the Finite Element Method (FEM), and the discretization of its temporal evolution, with the Finite Difference Method.