The international Conference on Optimal Control of Coupled Systems of Partial Di? erential Equations was held at the Mathematisches Forschungsinstitut Ob- wolfach (www. mfo. de) from April, 17 to 23, 2005. The scienti? c program included 30 talks coveringvarious topics as controllability, feedback-control, optimality s- tems, model-reduction techniques, analysis and optimal control of ? ow problems and ? uid-structure interactions, as well as problems of shape and topology op- mization. The applications discussed during the conference range from the op- mization and control of quantum mechanical systems, the design of piezo-electric acoustic micro-mechanical devices, optimal control of crystal growth, the control of bodies immersed into a ? uid to airfoil design and much more. Thus the app- cations are across all time and length scales. Optimization and control of systems governed by partial di? erential eq- tions and more recently by variational inequalities is a very active ? eld of research in Applied Mathematics, in particular in numerical analysis, scienti? c comp- ing and optimization. In order to able to handle real-world applications, scalable and parallelizable algorithms have to be designed, implemented and validated. This requires an in-depth understanding of both the theoretical properties and the numerical realization of such structural insights. Therefore, a 'core' devel- ment within the ? eld of optimization with PDE-constraints such as the analysis of control-and-state-constrained problems, the role of obstacles, multi-phases etc. and an interdisciplinary 'diagonal' bridging regarding applications and numerical simulation are most important.
Inhaltsverzeichnis
A Sharp Geometric Condition for the Boundary Exponential Stabilizability of a Square Plate by Moment Feedbacks only. - Local Exponential Stabilization Strategies of the Navier-Stokes Equations, d = 2, 3, via Feedback Stabilization of its Linearization. - Convergence Analysis of an Adaptive Finite Element Method for Distributed Control Problems with Control Constraints. - Optimal Boundary Control in Flood Management. - On Two Numerical Approaches for the Boundary Control Stabilization of Semi-linear Parabolic Systems: A Comparison. - Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation. - Optimal and Model Predictive Control of the Boussinesq Approximation. - Applications of Semi-smooth Newton Methods to Variational Inequalities. - Identification of Nonlinear Coefficients in Hyperbolic PDEs, with Application to Piezoelectricity. - An SQP Active Set Method for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions. - Shape Optimization for Navier-Stokes Equations. - A Family of Stabilization Problems for the Oseen Equations. - Beyond Bilinear Controllability: Applications to Quantum Control. - Optimal Control Problems with Convex Control Constraints. - Control of Moving Domains, Shape Stabilization and Variational Tube Formulations.
