International Series of Numerical Mathematics

Control of Coupled Partial Differential Equations

Editors: Kunisch, K., Leugering, G., Sprekels, J., Tröltzsch, F. (Eds.)

  • Contributions by leading experts in the area

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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.

Table of contents (15 chapters)

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

    Ammari, K. (et al.)

    Pages 1-11

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

    Barbu, Viorel (et al.)

    Pages 13-46

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

    Gaevskaya, A. (et al.)

    Pages 47-68

  • Optimal Boundary Control in Flood Management

    Gugat, Martin

    Pages 69-94

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

    Heuveline, Vincent (et al.)

    Pages 95-117

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-7643-7721-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-7643-7720-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
Control of Coupled Partial Differential Equations
Editors
  • Karl Kunisch
  • Günter Leugering
  • Jürgen Sprekels
  • Fredi Tröltzsch
Series Title
International Series of Numerical Mathematics
Series Volume
155
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7721-2
DOI
10.1007/978-3-7643-7721-2
Hardcover ISBN
978-3-7643-7720-5
Series ISSN
0373-3149
Edition Number
1
Number of Pages
VII, 384
Topics