1st Edition

Boundary Control and Variation

By Jean-Paul Zolesio Copyright 1994
    416 Pages
    by CRC Press

    420 Pages
    by CRC Press

    Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers a new approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.

    Preface

    Contributors

    Boundary Control for Non-Autonomous Parabolic Equations in Non Cylindrical Domains

    Paolo Acquistapace

    The Cauchy Problem for the Dynamic Programming Equation of Boundary Control

    Piermarco Cannarsa and Maria Elisabetta Tessitore

    Boundary Element Method for Shape (Domain) Optimization of Linear-Quadratic Elliptic Boundary Control Problems

    Goong Chen, Jianxin Zhou, and Robert C. McLean

    Hydroelastic Behavior of an Inextensible Membrane

    Nathalie Clariond and Jean-Paul Zolésio

    Stabilization of Second Order Evolution Equation by Unbounded Nonlinear Feedback

    Francis Conrad and Michel Pierre

    Functional Analytic Methods in Shape Optimization

    Michel Delfour and Jean-Paul Zolésio

    Sensitivity Analysis of al Eigenvalues of a Symmetrical Elliptic Operator

    Fabrice Desaint and Jean-Paul Zolésio

    Lagrangian Multipliers in Shape Optimization Under Constraints

    Luc Doyen

    On Exact Controllability of the Wave Equation with a Lower Order Term

    A. Eljendy and Timo Tiihonen

    On a filtration Problem with Flow-Induced Displacement of Fine Particles

    Antonio Fasano, M. Primicerio and A. Watts

    On a Class of Approximation Schemes for Linear Boundary Control Problems

    Roberto Ferretti

    Some Remarks of the Axisymmetric Equilibria of a Thin Shallow Spherical Cap

    Giuseppe Geymonat and Alain Léger

    Shape Optimization of Elasto-Plastic Bodies Governed by Variational Inequalities

    Michal Kočvara and Jiří V. Outrata

    Asymptotic Behavior and the Existence of Finite Dimensional Attractors for Von Kármán Plate Equation with Boundary Damping

    Irena Lasiecka

    Min-Max Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semigroups. Part II: The General Case

    Christine McMillan and Roberto Triggiani

    Modelling and Analysis of a Problem of Combustion of a Spray of Droplets

    L. Pouly and Jérôme Gabriel Pousin

    Recent Progress in Non-Uniform and Uniform Stabilization of the SCOLE Model with Boundary Feedbacks

    Bopeng Rao

    Nonsmooth Analysis and Free Boundary Problems

    Srdjan Stojanovic

    On a Mean Square Stabilization of a Linear Stochastic Differential Equation

    Gianmario Tessitore

    Biography

    Jean-Paul Zolesio