Publications
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You may also find my publications on google scholar, zbmath or most of them on the arXiv.
Under review
12. |
M. Donati, L.E. Hientzsch, C. Lacave, E. Miot. On the dynamics of leapfrogging vortex rings, 2025. preprint |
Peer-reviewed
| 11. | M. Caggio, D. Donatelli, L.E. Hientzsch. Inviscid incompressible limit fro capillary fluids with density dependent viscosity, to appear in J. Evol. equ., 2025. preprint |
| 10. | P. Antonelli, L.E. Hientzsch and P. Marcati. Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity, Rev. Mat. Iberoam online first} (2025). DOI | preprint |
| 9. | R. Bianchini, L.E. Hientzsch and F. Iandoli. Strong ill-posedness in $L^{\infty}$ of the 2D Boussinesq equations in vorticity form and application to the 3D axisymmetric Euler Equations, SIAM J. Math. Anal. Vol. 56 No. 5, pp. 5915--5968 (2024). DOI | preprint |
| 8. | L.E. Hientzsch, C. Lacave, E. Miot. Dynamics of several point vortices for the lake equations, Trans. Am. Math. Soc. Vol. 377, No. 1, pp. 203--248 } (2024). DOI | preprint |
| 7. | P. Antonelli, L.E. Hientzsch and S. Spirito. On the low Mach number limit for 2D Navier--Stokes--Korteweg systems, Mathematics in Engineering, 5(2), pp. 1--26 (2023). DOI |
| 6. | L.E. Hientzsch, C. Lacave, E. Miot. Lake equations with an evanescent or emergent island, Commun. Math. Sci. Vol. 20, No. 1, pp. 85-122, 147-177 (2022). DOI | preprint |
5. |
P. Antonelli, L.E. Hientzsch and S. Spirito. Global existence of finite energy weak solutions to the quantum Navier--Stokes equations with non-trivial far-field, Journal of Differential Equations 290, 147-177 (2021). DOI | preprint |
4. |
P. Antonelli, L.E. Hientzsch and P. Marcati. Analysis of acoustic oscillations for a class of hydrodynamic systems describing quantum fluids, to appear in Fluid Dynamics, Dispersive Perturbations and Quantum Fluids, Springer Series Unione Matematica Italiana. (2020). preprint |
3. |
P. Antonelli, L.E. Hientzsch and P. Marcati. On the low Mach number limit for the Quantum Navier--Stokes equations, SIAM J. Math. Anal. 52 n.6, 6105--6139 (2020). DOI | preprint |
Conference proceedings
2. |
P. Antonelli, L.E. Hientzsch and P. Marcati, The incompressible limit for finite energy weak solutions of Quantum Navier-Stokes equations, Proceedings of the XVII International Conference on Hyperbolic Problems, Theory, Numerics and Applications (2018). Volume | PDF |
1. |
P. Antonelli, L.E. Hientzsch, P. Marcati and H. Zheng. On some results for Quantum Hydrodynamical Models, RIMS Kokyuroku Proceeding No. 2070, Mathematical Fluids and Gas dynamics (2018). HDL | PDF |