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B6: Optimal control of nonlinear waves in three-dimensional dissipative active media
Prof. Dr. Harald Engel 
Prof. Dr. Fredi Tröltzsch 
Our goal is the design of efficient and robust spatio-temporal control algorithms aimed at selecting and tracking desired travelling wave patterns in nonlinear macroscopic non-equilibrium systems. The focus is on three-dimensional wave solutions to reaction-diffusion equations such as scroll waves or travelling localized zones of wave activity. The results will open new possibilities for the control of three-dimensional wave phenomena in catalytic reactors, polymerisation fronts or solid fuel combustion and are motivated by the crucial role wave instabilities play in these systems as well as in the development of certain cardiac arrhythmia.