Optimal actuator location for semilinear systems

Consider the temperature distribution in a classroom; to change it, we need to install a heater somewhere in the classroom. With a heater, we can raise the temperature, as well as change its distribution such that less heat flows to doors and windows, and more to seats. The location of the heater in the room significantly affects performance. There will be a location that minimizes spending on heat. In this project, we try to answer such similar questions for wide class of physical systems not just heating processes, for example fluid flow, coupled flow/diffusion, structural vibrations. The focus is on nonlinear models as the linear cases have already been studied. Example of nonlinear models are the railway track model, and also many diffusion and flow processes. The linear theory cannot be used to investigate such models.

Faculty Supervisor:

Kirsten Morris

Student:

Partner:

Université de Bordeaux

Discipline:

Mathematics

Sector:

Advanced Manufacturing; Energy and Utilities; Aerospace

University:

University of Waterloo

Program: