A Study on Klein Gordon Schr��dinger 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.