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Control of Coupled Partial Differential Equations

  • Conference proceedings
  • © 2007

Overview

Editors:
  1. Karl Kunisch

    1. Institute for Mathematics, University of Graz, Graz, Austria

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  2. Jürgen Sprekels

    1. Institute for Mathematics, Humboldt University Berlin, Berlin, Germany

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  3. Günter Leugering

    1. Institute for Applied Mathematics, University of Erlangen-Nürnberg, Erlangen, Germany

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  4. Fredi Tröltzsch

    1. Institute for Mathematics, Technical University Berlin, Berlin, Germany

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  • Contributions by leading experts in the area
  • Includes supplementary material: sn.pub/extras

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 155)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. A Sharp Geometric Condition for the Boundary Exponential Stabilizability of a Square Plate by Moment Feedbacks only

    • K. Ammari, M. Tucsnak, G. Tenenbaum
    Pages 1-11

  3. Local Exponential Stabilization Strategies of the Navier-Stokes Equations, d = 2, 3, via Feedback Stabilization of its Linearization

    • Viorel Barbu, Irena Lasiecka, Roberto Triggiani
    Pages 13-46

  4. Convergence Analysis of an Adaptive Finite Element Method for Distributed Control Problems with Control Constraints

    • A. Gaevskaya, Y. Iliash, M. Kieweg, R. H. W. Hoppe
    Pages 47-68

  5. Optimal Boundary Control in Flood Management

    • Martin Gugat
    Pages 69-94

  6. On Two Numerical Approaches for the Boundary Control Stabilization of Semi-linear Parabolic Systems: A Comparison

    • Vincent Heuveline, Hoang Nam-Dung
    Pages 95-117

  7. Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation

    • M. Hintermüller, S. Volkwein, F. Diwoky
    Pages 119-147

  8. Optimal and Model Predictive Control of the Boussinesq Approximation

    • Michael Hinze, Ulrich Matthes
    Pages 149-174

  9. Applications of Semi-smooth Newton Methods to Variational Inequalities

    • Kazufumi Ito, Karl Kunisch
    Pages 175-192

  10. Identification of Nonlinear Coefficients in Hyperbolic PDEs, with Application to Piezoelectricity

    • Barbara Kaltenbacher
    Pages 193-215

  11. An SQP Active Set Method for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions

    • C. Meyer
    Pages 217-248

  12. Shape Optimization for Navier-Stokes Equations

    • Pavel I. Plotnikov, Jan Sokolowski
    Pages 249-267

  13. A Family of Stabilization Problems for the Oseen Equations

    • Jean-Pierre Raymond
    Pages 269-291

  14. Beyond Bilinear Controllability: Applications to Quantum Control

    • Gabriel Turinici
    Pages 293-309

  15. Optimal Control Problems with Convex Control Constraints

    • Daniel Wachsmuth
    Pages 311-328

  16. Control of Moving Domains, Shape Stabilization and Variational Tube Formulations

    • Jean-Paul Zolésio
    Pages 329-382
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Keywords

About this book

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 April 2005.

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.

The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing.

Editors and Affiliations

  • Institute for Mathematics, University of Graz, Graz, Austria

    Karl Kunisch

  • Institute for Mathematics, Humboldt University Berlin, Berlin, Germany

    Jürgen Sprekels

  • Institute for Applied Mathematics, University of Erlangen-Nürnberg, Erlangen, Germany

    Günter Leugering

  • Institute for Mathematics, Technical University Berlin, Berlin, Germany

    Fredi Tröltzsch

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