Summary Rational and unique mathematical strategies for active flood control will be developed and tested in the design of flood alleviation schemes for UK rivers, such as Yorkshire’s Aire and Calder Rivers, based on increasing flood-plain storage capacity.
The use of medical imaging techniques are critical in the early diagnosis and treatment of many serious conditions. Over the past 20-30 years there have been major advances in imaging speed and resolution along with equally dramatic decreases in cost.
Increasing traffic congestion and the resultant greenhouse gas emissions and local air pollution are a major public policy concern, and have stimulated a substantial body of research aimed at developing sustainable forms of people mobility and freight distribution.
Regular patterns, such as stripes, squares and hexagons, are ubiquitous in nature, and their formation and stability are governed by the intricate and complex interactions of symmetry and nonlinearity.
This project is devoted to the study of stochastic control problems arising from financial applications. In particular we are interested in the theoretical study of optimal strategies in one of the following classes of problems.