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This volume comprises the proceedings of the Working Conference "Boundary variations and boundary control" held in Nice (France), June 10-13, 1986. The aim of this Conference was to stimulate exchange of ideas between the group working on shape optimization (including free boundary problems) and the group working on boundary control of hyperbolic systems (including stabilization). An important remark is that if one considers a dynamical system governed by linear elasticity the choice of Lagrangian coordinates leads to discuss boundary conditions, or boundary control (for example to stabilize), while the choice of Eulerian coordinates lead to a moving boundary and moving domain . This remark challenges us to consider the domain (or its boundary) as a control.
List of contents
Towards a multipurpose optimal shape design computer code.- Stability enhancement of flexible structures by nonlinear boundary-feedback control.- Stationary and moving free boundary problems related to the cavitation problem.- On optimal design of activity controlled distributed parameter structures.- A domain control approach to state-constrained control problems.- An optimization problem for thin insulating layers around a conducting medium.- Some effects of the boundary roughness in a thin film flow.- Free boundary problems in dissolution-growth processes.- Shape optimization and continuation method.- Further development in shape sensitivity analysis via penalization method.- On the design of the optimal covering of an obstacle.- Exponential local stability of first order strictly hyperbolic systems with nonlinear perturbations on the boundary.- Free boundaries and non-smooth solutions to some field equations: Variational characterization through the transport method.- Shape sensitivity analysis of nonsmooth variational problems.- Shape Newton method in naval hydrodynamic.- Semi-discrete and discrete gradient for non linear water wave problems.- Gradient with respect to nodes for non-isoparametric finite elements.- Exact controllability for wave equation with Neumann boundary control.- Shape stabilization of wave equation.
