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 | 160 | 2009 |
The quantum hydrodynamics system in two space dimensions P Antonelli, P Marcati Archive for Rational Mechanics and Analysis 203, 499-527, 2012 | 104 | 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 | 68 | 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 | 51 | 2015 |
On the Cauchy Problem for nonlinear Schr\" odinger equations with rotation P Antonelli, D Marahrens, C Sparber arXiv preprint arXiv:1009.4160, 2010 | 47 | 2010 |
Existence of solitary waves in dipolar quantum gases P Antonelli, C Sparber Physica D: Nonlinear Phenomena 240 (4), 426-431, 2011 | 46 | 2011 |
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 | 29 | 2018 |
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 | 28 | 2022 |
On nonlinear Schrödinger-type equations with nonlinear damping P Antonelli, R Carles, C Sparber International Mathematics Research Notices 2015 (3), 740-762, 2015 | 28 | 2015 |
A model of synchronization over quantum networks P Antonelli, P Marcati Journal of Physics A: Mathematical and Theoretical 50 (31), 315101, 2017 | 21 | 2017 |
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 | 19 | 2021 |
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 | 19 | 2019 |
Some Results on Systems for Quantum Fluids P Antonelli, P Marcati CONTEMPORARY MATHEMATICS 666, 41-54, 2016 | 19 | 2016 |
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 |
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 | 17 | 2021 |
ON SOME RESULTS FOR QUANTUM HYDRODYNAMICAL MODELS (流体と気体の数学解析) P ANTONELLI, LE HIENTZSCH, P MARCATI, HAO ZHENG 数理解析研究所講究録, 107-129, 2018 | 17* | 2018 |
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 |
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 |