A Study on Klein Gordon Schrödinger Type Systems

Systems of Klein-Gordon-Schrödinger type have been studied for many years. The system in question describes the nonlinear interaction between high frequency electron waves and low frequency ion plasma waves in a homogeneous magnetic field, adapted to model the UHH (Upper Hybrid Heating) plasma heating scheme. First, we study the existence, uniqueness and continuity of the solutions on the initial data; and secondly, the asymptotic compactness of the solutions and the existence of a global compact attractor. The analysis is defined in a bounded and unbounded domain.

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Dr. Poulou received her BSc degree from King's College in Joint Honors Physics and Mathematics and moved on to receiving her Masters in Mathematics from Imperial College. Then she received with distinction her PhD from the National Technical University of Athens from the School of Applied Mathematical and Physical Science.