Control Theory of Partial Differential Equations

The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a

Guenter Leugering, University of Erlangen, Nuremberg, Germany. Oleg Imanuvilov, Iowa State University, Ames, Iowa, USA. Bing-Yu Zhang, University of Cincinnati, Cincinnati, Ohio, USA. Roberto Triggiani, University of Virginia, Charlottesville, Virginia, USA.

Preface 1 Asymptotic Rates of Blowup for the Minimal Energy Function for the Null Controllability of Thermoelastic Plates: The Free Case 2 Interior and Boundary Stabilization of Navier-Stokes Equations 3 On Approximating Properties of Solutions of the Heat Equation 4 Kolmogorov's ?-Entropy for a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping 5 Extension of the Uniform Cusp Property in Shape Optimization 6 Garding ? 's Inequality on Manifolds with Boundary 7 An Inverse Problem for the Dynamical Lame System with Two Sets of Local Boundary Data 8 On Singular Perturbations in Problems of Exact Controllability of Second-Order Control Systems 9 Domain Decomposition in Optimal Control Problems for Partial Differential Equations Revisited 10 Controllability of Parabolic and Hyperbolic Equations: Toward a Unified Theory 11 A Remark on Boundary Control on Manifolds. 12 Model Structure and Boundary Stabilization of an Axially Moving Elastic Tape 13 Nonlinear Perturbations of Partially Controllable Systems 14 On Junctions in a Network of Canals 15 On Uniform Null Controllability and Blowup Estimates 16 Poroelastic Filtration Coupled to Stokes Flow 17 Operator-Valued Analytic Functions Generated by Aircraft Wing Model (Subsonic Case) 18 Optimal Design of Mechanical Structures 19 Global Exact Controllability on H1 (?) × L2(?) of Semilinear Wave Equations with Neumann L2(0,T;L2(?1))-Boundary Control 20 Carleman Estimates for the Three-Dimensional Nonstationary Lame- System and Application to an Inverse Problem 21 Forced Oscillations of a Damped Benjamin-Bona-Mahony Equation in a Quarter Plane 22 Exact Controllability of the Heat Equation with Hyperbolic Memory Kernel