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We study the Landau-Khalatnikov and other two fluid systems modeling the interaction of a classical and a quantum fluid.We can prove the global existence of finite energy weak solutions,by applying some of the methods created by Antonelli and Marcati for the analysis of the single QHD model.In the case of the two fluids it has been necessary to extend the classical results of Fujiwara(based on the Feynman path integration)to the case of potential Lp in time.