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.
Table of Contents
Boundary Control for Non-Autonomous Parabolic Equations in Non Cylindrical Domains. The Cauchy Problem for the Dynamic Programming Equation of Boundary Control. Boundary Element Method for Shape (Domain) Optimization of Linear-Quadratic Elliptic Boundary Control Problems. Hydroelastic Behavior of an Unextensible Membrane. Stabilization of Second Order Evolution Equation by Unbounded Nonlinear Feedback. Functional Analysis Methods in Shape Optimization. Sensitivity Analysis of al Eigenvalues of a Symmetrical Elliptic Operator. Lagrangian Multipliers in Shape Optimization Under Constraints. On Exact Controllability of the Wave Equation with a Lower Order Term. On a Class of Approximation Schemes for Linear Boundary Control Problems. Some Remarks of the Axisymmetric Equilibria of a Thin Shallow Spherical Cap. On a filtration Problem with Flow-Induced Displacement of Fine Particles. Shape Optimization of Elasto-Plastic Bodies Governed by Variational Inequalities. Asymptotic Behavior and the Existence of Finite Dimensional Attractors for Von Karman Plate Equation with Boundary Damping. MinMax Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semi-Group. Part I: The General Case. Modelling and Analysis of a Problem of Combustion of a Spray of Droplets. Recent Progress in Non-Uniform and Uniform Stabilization of the SCOLE Model with Boundary Feedbacks. Nonsmooth Analysis and Free Boundary Problems. On a Mean Square Stabilization of a Linear Stochastic Differential Equation.