The behaviour of systems occurring in real life is often modelled
by partial differential equations. This book investigates how a
user or observer can influence the behaviour of such systems
mathematically and computationally. A thorough mathematical
analysis of controllability problems is combined with a detailed
investigation of methods used to solve them numerically, these
methods being validated by the results of numerical experiments. In
Part I of the book the authors discuss the mathematics and numerics
relating to the controllability of systems modelled by linear and
non-linear diffusion equations; Part II is dedicated to the
controllability of vibrating systems, typical ones being those
modelled by linear wave equations; finally, Part III covers flow
control for systems governed by the Navier-Stokes equations
modelling incompressible viscous flow. The book is accessible to
graduate students in applied and computational mathematics,
engineering and physics; it will also be of use to more advanced
practitioners.
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