A shape optimization problem in inverse acoustics.- On a variational equation for thin shells.- Oriented distance functions in shape analysis and optimization.- On the density of the range of the semigroup for semilinear heat equations.- Relaxation in semilinear infinite dimensional systems modeling fluid flow control problems.- Multidimensional inverse scattering problems in deterministic and random media.- Decay estimates for the wave equation.- Asymptotic behavior and attractors for nonlinear Von Kármán plate equations with boundary dissipation.- Stabilization of the Korteweg-De Vries equation on a periodic domain.- A note concerning boundary effects and long time vibrations of layered media.- On the linearised dynamics of linked mechanical structures.
The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.
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