Control of Boundaries and Stabilization : Proceedings of the IFIP WG 7.2 Conference, Clermont Ferrand, France, June 20-23, 1988

The present proceedings volume is devoted to two subjects. Stabilization with emphasis on exact controllability: considering a physical system, such as a vibrating plate, one can reach a steady state in a finite time by acting on the boundary. Control of boundaries: given a physical system find the geometry of the domain (optimal shape) which minimizes a cost related to the solution of a boundary value problem in this domain, for example find a minimum drag profile. Many lectures included mathematical analysis as well as engineering applications and numerical simulation. Remarks on the exact controllability for large times....Pages 1-13 Microlocal ideas in control and stabilization....Pages 14-30 Spectral and asymptotic properties of linear elastic systems with internal energy dissipation....Pages 31-50 On riblets in laminar flows....Pages 51-65 Iterated homogenization and the effective properties of polycrystals....Pages 66-74 Some remarks on the exact controllability in a neighbourhood of the boundary of a perforated domain....Pages 75-93 Shape Analysis and Optimization: Lagrangian Methods and Applications....Pages 95-108 A newton ’s method in a domain optimization problem....Pages 109-127 Optimal control of hemivariational inequalities....Pages 128-139 Exact controllability in short time....Pages 140-153 Uniform boundary stabilization of tiiermoelastic plates....Pages 154-167 Asymptotic behavior of the solutions of the kirkhoff plate with nonlinear dissipation in the bending moment....Pages 168-176 Stabilization of a vibrating string system linked by point masses....Pages 177-198 Some identification problems in petroleum geophisics....Pages 199-210 Development of a two/three dimensional shape optimization program with solid modelling, semi-automatic mesh generation and adaptive mesh refinement....Pages 211-230 Optimisation d’un système surfacique (équation de la chaleur)....Pages 231-240 Output least square estimation of power-laws in distributed damping models: Beams....Pages 241-250 Some remarks on the boundary stabilizability of the wave equation....Pages 251-266