Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 19 de mayo de 2022
Hora  : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Kévin Le Balc ́h

(Laboratoire Jacques-Louis Lions – Sorbonne Université)

Resumen

In this talk, we consider the infinite time horizon LQR optimal control problem for the linearized Boussinesq system. This system is of interest in various applications fields, such as designing and exploiting energy efficient buildings. The goal is to justify the approximation by penalization of the free divergence condition in this context. More precisely, under suitable assumptions, we establish convergence results for optimal controls, optimal solutions and Riccati operators when the penalization parameter goes to zero. Same kind of results are also obtained in the semidiscrete case. A numerical validation is then proposed in a two-dimensional setting. This is a joint work with Mejdi Azaiez and Marius Tucsnak.