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math.AP2019
An intrinsically hydrodynamic approach to multidimensional QHD systems
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
In this paper we consider the multi-dimensional Quantum Hydrodynamics (QHD) system, by adopting an intrinsically hydrodynamic approach. The present work continues the analysis init…
math.AP2019
Genuine Hydrodynamic Analysis to the 1-D QHD system: Existence, Dispersion and Stability
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
In this paper we consider the one dimensional quantum hydrodynamics (QHD) system, with a genuine hydrodynamic approach. The global existence of weak solutions with large data has b…