On the finite energy weak solutions to a system in quantum fluid dynamics P Antonelli, P Marcati
Communications in mathematical physics 287 (2), 657-686, 2009
153 2009 The quantum hydrodynamics system in two space dimensions P Antonelli, P Marcati
Archive for Rational Mechanics and Analysis 203, 499-527, 2012
99 2012 Global Existence of Finite Energy Weak Solutions of Quantum Navier–Stokes Equations P Antonelli, S Spirito
Archive for Rational Mechanics and Analysis, 1-39, 2016
67 2016 Scattering for nonlinear Schrödinger equation under partial harmonic confinement P Antonelli, R Carles, JD Silva
Communications in Mathematical Physics 334 (1), 367-396, 2015
49 2015 Existence of solitary waves in dipolar quantum gases P Antonelli, C Sparber
Physica D: Nonlinear Phenomena 240 (4), 426-431, 2011
45 2011 On the Cauchy Problem for nonlinear Schr\" odinger equations with rotation P Antonelli, D Marahrens, C Sparber
arXiv preprint arXiv:1009.4160, 2010
45 2010 Global well-posedness for cubic NLS with nonlinear damping P Antonelli, C Sparber
Communications in Partial Differential Equations 35 (12), 2310-2328, 2010
38 2010 Well-posedness and averaging of NLS with time-periodic dispersion management P Antonelli, JC Saut, C Sparber
Advances in Differential Equations 18 (1/2), 49-68, 0
34 On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations P Antonelli, S Spirito
Journal of Hyperbolic Differential Equations 15 (01), 133-147, 2018
28 2018 On nonlinear Schrödinger-type equations with nonlinear damping P Antonelli, R Carles, C Sparber
International Mathematics Research Notices 2015 (3), 740-762, 2015
27 2015 Global existence of weak solutions to the Navier–Stokes–Korteweg equations P Antonelli, S Spirito
Annales de l'Institut Henri Poincaré C 39 (1), 171-200, 2022
26 2022 A model of synchronization over quantum networks P Antonelli, P Marcati
Journal of Physics A: Mathematical and Theoretical 50 (31), 315101, 2017
20 2017 On the XFEL Schrödinger equation: Highly oscillatory magnetic potentials and time averaging P Antonelli, A Athanassoulis, H Hajaiej, P Markowich
Archive for Rational Mechanics and Analysis 211 (3), 711-732, 2014
19 2014 On the compactness of weak solutions to the Navier–Stokes–Korteweg equations for capillary fluids P Antonelli, S Spirito
Nonlinear Analysis 187, 110-124, 2019
18 2019 Nonlinear Maxwell–Schrödinger system and quantum magneto-hydrodynamics in P Antonelli, M d’Amico, P Marcati
Communications in Mathematical Sciences 15 (2), 451-479, 2017
17 * 2017 Some Results on Systems for Quantum Fluids P Antonelli, P Marcati
CONTEMPORARY MATHEMATICS 666, 41-54, 2016
17 2016 On the Low Mach Number Limit for Quantum Navier--Stokes Equations P Antonelli, LE Hientzsch, P Marcati
SIAM Journal on Mathematical Analysis 52 (6), 6105-6139, 2020
16 2020 Quantum hydrodynamics with nonlinear interactions P Antonelli, P Marcati
Discrete & Continuous Dynamical Systems-S 9 (1), 1, 2016
16 2016 Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid P Antonelli, M Dolce, P Marcati
Annals of PDE 7 (2), 24, 2021
15 2021 Genuine Hydrodynamic Analysis to the 1-D QHD system: Existence, Dispersion and Stability P Antonelli, P Marcati, H Zheng
Communications in Mathematical Physics, 1-49, 2021
15 2021