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math.AP2020
Analysis of acoustic oscillations for a class of hydrodynamic systems describing quantum fluids
Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati
Hydrodynamic systems for quantum fluids are systems for compressible fluid flows for which quantum effects are macroscopically relevant. We discuss how the presence of the dispersi…
math.AP2020
Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior
Paolo Antonelli, Lars Eric Hientzsch, Stefano Spirito
We prove global existence of finite energy weak solutions to the quantum Navier-Stokes equations in the whole space with non trivial far-field condition in dimensions d = 2,3. The…