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The main objects of the present work are the quantum Navier-Stokes andquantum Euler systems; for the first one, in particular, we will considerconstant viscosity coefficients. We deal with the concept of dissipativesolutions, for which we will first prove the weak-strong uniqueness principleand afterwards, we will show the global existence for any finite energy initialdata. Finally, we will prove that both systems admit a semiflow selection inthe class of dissipative solutions.

On well-posedness of quantum fluid systems in the class of dissipative solutions