Glowinski and numerical control problems

Abstract

This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control problems. Additionally, some new methods and results will be announced.

Keywords

• Controllability of linear and nonlinear PDE’s
• control of free-boundary problems
• bi-objective optimal control problems
• Nash equilibria
• numerical methods