142 citations · 473 across the 37 of their papers we have counts for
41 papers
Instability of gray solitons in a Gross-Pitaevskii model with a moving impurity
Paolo Antonelli, Martino Caliaro
The effect of a moving impurity in a dilute Bose-Einstein condensate is investigated by means of the one-dimensional Gross-Pitaevskii model (GP) with non-zero boundary conditions a…
On the Gross-Pitaevskii model with a moving impurity: Cauchy problem and superfluidity criterion
Paolo Antonelli, Martino Caliaro
We study the one-dimensional Gross-Pitaevskii equation with a traveling delta potential and non-zero conditions at infinity. This model describes the effect of a moving impurity in…
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,…
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…
Existence and Large Time Behavior for a Dissipative Variant of the Rotational NLS Equation
Paolo Antonelli, Boris Shakarov
We study a dissipative variant of the Gross-Pitaevskii equation with rotation. The model contains a nonlocal, nonlinear term that forces the conservation of -norm of solutions…
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…