Prof. Dr. Etienne Emmrich
Duration: 01.09.2012 - 31.12.2022
Technische Universität Berlin
Nonlinear evolution equations are the mathematical models for time-dependent processes in science and engineering. Relying upon the theory of monotone operators and compactness arguments, we study existence of solutions, convergence of discretization methods, and feedback control for equations of dissipative type. We focus on nonlocality in time (distributed delay, memory effects) and interpret time-delayed feedback control as a nonlocal-in-time coupling. Applications arise in soft matter and dynamics of complex fluids such as liquid crystals.