This volume contains original articles by experts in the fields of optimal control of partial differential equations, shape optimisation, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides an overview of developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high-technology problems in applied mathematics, fluid control, optimal design and computer modelling.