The application of PDE-based control theory and the corresponding numerical algorithms to industrial problems have become increasingly important in recent years. This volume offers a wide spectrum of aspects of the discipline, and is of interest to mathematicians and scientists working in the field.
Inhaltsverzeichnis
Well-posedness of Semilinear Heat Equations with Iterated Logarithms. - Uniform Stability of Nonlinear Thermoelastic Plates with Free Boundary Conditions. - Exponential Bases in Sobolev Spaces in Control and Observation Problems. - Sampling and Interpolation of Functions with Multi-Band Spectra and Controllability Problems. - Discretization of the Controllability Grammian in View of Exact Boundary Control: the Case of Thin Plates. - Stability of Holomorphic Semigroup Systems under Nonlinear Boundary Perturbations. - Shape Control in Hyperbolic Problems. - Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints. - Intrinsic P(2, 1) Thin Shell Models and Naghdi s Models without A Priori Assumption on the Stress Tensor. - On the Approximate Controllability for some Explosive Parabolic Problems. - Fréchet-Differentiability and Sufficient Optimality Conditions for Shape Functionals. - State Constrained Optimal Control for some Quasilinear Parabolic Equations. - Controllability property for the Navier-Stokes equations. - Shape Sensitivity and Large Deformation of the Domain for Norton-Hoff Flows. - On a Distributed Control Law with an Application to the Control of Unsteady Flow around a Cylinder. - Homogenization of a Model Describing Vibration of Nonlinear Thin Plates Excited by Piezopatches. - Stabilization of the Dynamic System of Elasticity by Nonlinear Boundary Feedback. - Griffith Formula and Rice-Cherepanov s Integral for Elliptic Equations with Unilateral Conditions in Nonsmooth Domains. - A Domain Optimization Problem for a Nonlinear Thermoelastic System. - Approximate Controllability for a Hydro-Elastic Model in a Rectangular Domain. - Noncooperative Games with Elliptic Systems. - Incomplete IndefiniteDecompositions as Multigrid Smoothers for KKT Systems. - Domain Optimization for the Navier-Stokes Equations by an Embedding Domain Method. - On the Approximation and Optimization of Fourth Order Elliptic Systems. - On the Existence and Approximation of Solutions for the Optimal Control of Nonlinear Hyperbolic Conservation Laws. - Identification of Memory Kernels in Heat Conduction and Viscoelasticity. - Variational Formulation for Incompressible Euler Equation by Weak Shape Evolution.