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Full Description
Along with the dramatic increase in computer power, the application of PDE-based control theory and the corresponding numerical algorithms to industrial problems has become increasingly important. This development is reflected in this volume. The mathematical framework contains modelling and analysis of such systems as well as the numerical analysis and implementation.
Contents
Well-posedness of semilinear heat equations with iterated logarithms, Paolo Albano et al; uniform stability of nonlinear thermoelastic plates with free boundary conditions, George Avalos et al; exponential bases in Sobolev spaces in control and observation problems, Sergei A. Avdonin et al; sampling and interpolation of functions with multi-band spectra and controllability problems, Sergei Avdonin, William Moran; discretization of the controllability Grammian in view of exact boundary control - the case of thin plates, Frederic Bourquin et al; stability of holomorphic semigroup systems under nonlinear boundary perturbations, Francesca Bucci; shape control in hyperbolic problems, John Cagnol, Jean-Paul; Zolesia; second order optimality conditions for some control problems of semilinear elliptic equations with integral state constraints, Eduardo Casas; intrinsic P(2,1) thin shell models and Naghdi's models without A priori assumption on the stress tensor, Michel C. Delfour; on the approximate controllability for some explosive parabolic problems, J.I. Diaz, J.L. Lions; Frechet-differentiability and sufficient optimality conditions for shape functional, Karsten Eppler; state constrained optimal control for some quasilinear parabolic equations, Luis A. Fernandez; controllability property for the Navier-Stokes equations, Andrei V. Fursikov; shape sensitivity and large deformation of the domain for Norton-Hoff flows, Nicolas Gomez, Jean-Paul Zolesio; on a distributed control law with an application to the control of unsteady flow around a cylinder, Michael Hinze, Andreas Kauffmann; homogenization of a model describing vibration of nonlinear thin plates excited by piezopatches, K.-H. Hoffmann, N.D. Botkin; stabilization of the dynamic system of elasticity by nonlinear boundary feedback, Mary Ann Horn; Griffith formula and Rice-Cherepanov's integral for elliptic equations with unilateral conditions in nonsmooth domains, A.M. Khludnev, J. Sokolowski; a domain optimization problem for a nonlinear thermoelastic system, A. Myslinski, F. Troltzch; approximate controllability for a hydro-elastic model in a rectangular domain, Axel Osses, Jean-Pierre Puel; noncooperative games with elliptic systems, Tomas Roubicek; incomplete indefinite decompositions as multigrid smoothers for KKT systems, Volker H. Schulz; domain optimization for the Navier-Stokes equations by an embedding domain method, Thomas Slawig; on the approximation and optimization of fourth order elliptic systems, J. Sprekels, D. Tiba. (Part contents).
