Ebook: Boundary Control and Boundary Variations: Proceedings of the IFIP WG 7.2 Conference Nice, France, June 10–13, 1987

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.

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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.

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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.
Content:
Front Matter....Pages -
Towards a multipurpose optimal shape design computer code....Pages 1-17
Stability enhancement of flexible structures by nonlinear boundary-feedback control....Pages 18-37
Stationary and moving free boundary problems related to the cavitation problem....Pages 38-54
On optimal design of activity controlled distributed parameter structures....Pages 55-71
A domain control approach to state-constrained control problems....Pages 72-90
An optimization problem for thin insulating layers around a conducting medium....Pages 91-95
Some effects of the boundary roughness in a thin film flow....Pages 96-115
Free boundary problems in dissolution-growth processes....Pages 116-136
Shape optimization and continuation method....Pages 137-152
Further development in shape sensitivity analysis via penalization method....Pages 153-191
On the design of the optimal covering of an obstacle....Pages 192-211
Exponential local stability of first order strictly hyperbolic systems with nonlinear perturbations on the boundary....Pages 212-234
Free boundaries and non-smooth solutions to some field equations: Variational characterization through the transport method....Pages 235-264
Shape sensitivity analysis of nonsmooth variational problems....Pages 265-285
Shape Newton method in naval hydrodynamic....Pages 286-296
Semi-discrete and discrete gradient for non linear water wave problems....Pages 297-310
Gradient with respect to nodes for non-isoparametric finite elements....Pages 311-316
Exact controllability for wave equation with Neumann boundary control....Pages 317-371
Shape stabilization of wave equation....Pages 372-398

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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.
Content:
Front Matter....Pages -
Towards a multipurpose optimal shape design computer code....Pages 1-17
Stability enhancement of flexible structures by nonlinear boundary-feedback control....Pages 18-37
Stationary and moving free boundary problems related to the cavitation problem....Pages 38-54
On optimal design of activity controlled distributed parameter structures....Pages 55-71
A domain control approach to state-constrained control problems....Pages 72-90
An optimization problem for thin insulating layers around a conducting medium....Pages 91-95
Some effects of the boundary roughness in a thin film flow....Pages 96-115
Free boundary problems in dissolution-growth processes....Pages 116-136
Shape optimization and continuation method....Pages 137-152
Further development in shape sensitivity analysis via penalization method....Pages 153-191
On the design of the optimal covering of an obstacle....Pages 192-211
Exponential local stability of first order strictly hyperbolic systems with nonlinear perturbations on the boundary....Pages 212-234
Free boundaries and non-smooth solutions to some field equations: Variational characterization through the transport method....Pages 235-264
Shape sensitivity analysis of nonsmooth variational problems....Pages 265-285
Shape Newton method in naval hydrodynamic....Pages 286-296
Semi-discrete and discrete gradient for non linear water wave problems....Pages 297-310
Gradient with respect to nodes for non-isoparametric finite elements....Pages 311-316
Exact controllability for wave equation with Neumann boundary control....Pages 317-371
Shape stabilization of wave equation....Pages 372-398
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