Optimal Control of Coupled Systems of Partial Differential Equations

by Kunisch, Karl; Leugering, Gunter; Sprekels, Jurgen; Troltzsch, Fredi

• ISBN13: 9783764389222
• ISBN10: 3764389222
• Format: Hardcover
• Copyright: 2009-07-01
• Publisher: Birkhauser

Summary

This volume contains selected contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more.

Table of Contents

Preface	p. vii
Beyond Lack of Compactness and Lack of Stability of a Coupled Parabolic-hyperbolic Fluid-structure System	p. 1
A Continuous Adjoint Approach to Shape Optimization for Navier Stokes Flow	p. 35
Recent Advances in the Analysis of State-constrained Elliptic Optimal Control Problems	p. 57
Fast and Strongly Localized Observation for a Perturbed Plate Equation	p. 73
Representations, Composition, and Decomposition of C1,1 -hypersurfaces	p. 85
On Some Nonlinear Optimal Control Problems with Vector-valued Affine Control Constraints	p. 105
Weak Solutions to a Model for Crystal Growth from the Melt in Changing Magnetic Fields	p. 123
Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraints	p. 139
Nonlinear Feedback Solutions for a Class of Quantum Control Problems	p. 155
Optimal Feedback Synthesis for Bolza Control Problem Arising in Linearized Fluid Structure Interaction	p. 171
Single-step One-shot Aerodynamic Shape Optimization	p. 191
Shape Differentiability of Drag Functional for Compressible Navier-Stokes Equations	p. 205
Null-controllability for a Coupled Heat-Finite-dimensional Beam System	p. 221
Feedback Modal Control of Partial Differential Equations	p. 239
Optimization Problems for Thin Elastic Structures	p. 255
A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization	p. 275
How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimization Problems	p. 297
Hidden Boundary Shape Derivative for the Solution to Maxwell Equations and Non Cylindrical Wave Equations	p. 319
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