142 citations · 151 across the 11 of their papers we have counts for
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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…
Global existence of weak solutions to the Navier-Stokes-Korteweg equations
Paolo Antonelli, Stefano Spirito
In this paper we consider the Navier-Stokes-Korteweg equations for a viscous compressible fluid with capillarity effects in three space dimensions. We prove global existence of fin…
On the low Mach number limit for Quantum Navier-Stokes equations
Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati
We investigate the low Mach number limit for the 3-D quantum Navier-Stokes system. For general ill-prepared initial data, we prove strong convergence of finite energy weak solution…