ON SOME RESULTS FOR QUANTUM HYDRODYNAMICAL MODELS (Mathematical Analysis in Fluid and Gas Dynamics) P Antonelli, LE Hientzsch, P Marcati, H Zheng
数理解析研究所講究録 2070, 107-129, 2018
17 * 2018 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 Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior P Antonelli, LE Hientzsch, S Spirito
Journal of Differential Equations 290, 147-177, 2021
13 2021 Dynamics of several point vortices for the lake equations L Hientzsch, C Lacave, E Miot
Transactions of the American Mathematical Society 377 (01), 203-248, 2024
5 2024 Analysis of acoustic oscillations for a class of hydrodynamic systems describing quantum fluids P Antonelli, LE Hientzsch, P Marcati
arXiv preprint arXiv:2011.13435, 2020
5 2020 Non linear Schrödinger equations and quantum fluids non vanishing at infinity: incompressible limits and quantum vortices LE Hientzsch
Gran Sasso Science Institute, 2019
4 2019 Lake equations with an evanescent or emergent island LE Hientzsch, C Lacave, E Miot
Communications in Mathematical Sciences 20 (1), 85 – 122, 2021
3 2021 On the low Mach number limit for 2D Navier–Stokes–Korteweg systems LE Hientzsch
Mathematics in Engineering 5 (2), 1-26, 2023
2 2023 THE INCOMPRESSIBLE LIMIT FOR FINITE ENERGY WEAK SOLUTIONS OF QUANTUM NAVIER-STOKES EQUATIONS P Antonelli, LE Hientzsch, P Marcati
Hyperbolic Problems: Theory, Numerics, Applications, 256, 2018
2 2018 Strong ill-posedness in of the 2d stably stratified Boussinesq equations and application to the 3d axisymmetric Euler Equations R Bianchini, LE Hientzsch, F Iandoli
arXiv preprint arXiv:2303.16167, 2023
2023 Finite energy well-posedness for nonlinear Schr {\" o} dinger equations with non-vanishing conditions at infinity P Antonelli, LE Hientzsch, P Marcati
arXiv preprint arXiv:2301.00751, 2023
2023