142 citations · 151 across the 7 of their papers we have counts for
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Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid
Paolo Antonelli, Michele Dolce, Pierangelo Marcati
In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times…
Relaxation limit from the Quantum-Navier-Stokes equations to the Quantum Drift Diffusion equation
Paolo Antonelli, Giada Cianfarani Carnevale, Corrado Lattanzio +1
The relaxation-time limit from the Quantum-Navier-Stokes-Poisson system to the quantum drift-diffusion equation is performed in the framework of finite energy weak solutions. No as…
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…
Linear stability analysis for 2D shear flows near Couette in the isentropic Compressible Euler equations
Paolo Antonelli, Michele Dolce, Pierangelo Marcati
In this paper, we investigate linear stability properties of the 2D isentropic compressible Euler equations linearized around a shear flow given by a monotone profile, close to the…
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…