142 citations · 416 across the 31 of their papers we have counts for
36 papers
Initial layer analysis of relaxation-time limit of the collisional QHD
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
We study the structure of the initial layer arising in the relaxation-time limit of the collisional quantum hydrodynamic (QHD) system. When the initial data are not well prepared,…
Stability of dispersive boundary layers for scalar conservation laws in one space dimension
Paolo Antonelli, Pierangelo Marcati, Laura V. Spinolo
We study the zero-dispersion limit for a class of Korteweg--de Vries (KdV)-type initial-boundary value problems on the half-line, with Dirichlet boundary conditions assigned at \(x…
The time-relaxation limit for weak solutions to the quantum hydrodynamics system
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
This paper analyzes weak solutions of the quantum hydrodynamics (QHD) system with a collisional term posed on the one-dimensional torus. The main goal of our analysis is to rigorou…
Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity
Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati
Relevant physical phenomena are described by nonlinear Schrödinger equations with non-vanishing conditions at infinity. This paper investigates the respective 2D and 3D Cauchy prob…
Existence and Stability of almost finite energy weak solutions to the Quantum Euler-Maxwell system
Paolo Antonelli, Pierangelo Marcati, Raffaele Scandone
We prove the existence of global in time, finite energy, weak solutions to a quantum magnetohydrodynamic system (QMHD) with large data, modeling a charged quantum fluid interacting…
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…