Optimal Control of Coupled Systems of PDE

Abstract

Current research in the control of PDEs is focused on highly nonlinear coupled systems of partial differential equations that arise from diverse applications in engineering and science. Dealing with associated control problems calls for a careful analysis of such systems, efficient numerical methods for differential equations and powerful techniques of numerical optimization. The program of the conference contained a blend of associated talks. Systems modelling quantum effects, dynamic fluid-structure interaction, the coupling of heat transport or fluid flow with electromagnetic fields and compressible flows were subject of the talks. Main aspects of control theory were state-constrained optimal control, mesh-adaptivity and a posteriori error estimation, feedback control, free material and shape optimization, controllability and observability. The conference tightened the links between applications, numerics, and analysis with some emphasis on the analytic aspects.