TY  - GEN
AU  - Glowinski, Roland
AU  - Lions, Jacques-Louis
AU  - He, Jiwen 
TI  - Exact and approximate controllability for distributed parameter systems: a numerical approach, Vol. 117
SN  - 9780521885720
U1  - 515.642 
PY  - 2008///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematics
KW  - Distributed Parameter Systems
KW  - Differential Equations
N2  - The behavior of systems occurring in real life is often modeled by partial differential equations. This book investigates how a user or observer can influence the behavior 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 modeled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modeled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modeling 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
ER  -