PDE Seminar (2015/4/20): A minimizing movement approach to constrained distributed parameter systems

Date
2015-4-20 16:30 - 2015-4-20 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Elliott Ginder (Hokkaido University)
 
We consider an infinite dimensional optimal control problem where state space members satisfy a partial differential equation with prescribed volume-constraints (the control). We derive a bang-bang principle for the optimal control and, by utilizing the method of minimizing movements, we show how the discrete-time problem allows one to investigate the optimal solution as the asymptotic evolution of a volume-controlled gradient flow of the cost functional. We will also present an application of minimizing movements for computing approximate solutions of constrained gradient flows.