Publications

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati (2023). On the Cauchy problem for the QHD system with infinite mass and energy: applications to quantum vortex dynamics. (in preparation).

Lars Eric Hientzsch, Christophe Lacave, Evelyne Miot (2023). Dynamics of several point vortices for the lake equations. Transactions of the American Mathematical Society.

Roberta Bianchini, Lars Eric Hientzsch, Felice Iandoli (2023). Strong ill-posedness in W^1,infty of the 2d stably stratified Boussinesq equations and application to the 3d axisymmetric Euler Equations.

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati (2023). Finite energy well-posedness for nonlinear Schrodinger equations with non-vanishing conditions at infinity.

Lars Eric Hientzsch (2023). On the low Mach number limit for 2D Navier-Stokes-Korteweg systems. Special Issue Fluid instabilities, waves and non-equilibrium dynamics of interacting particles, Mathematics in Engineering 2023, Volume 5, Issue 2: 1-26.

Lars Eric Hientzsch, Christophe Lacave, Evelyne Miot (2021). Lake equations with an evanescent or emergent island. Commun. Math. Sci. Vol 20, 1, pp. 85-122 (2022).

Paolo Antonelli, Lars Eric Hientzsch, Stefano Spirito (2021). Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior. Journal of Differential Equations Vol. 290, 147-177 (2021).

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati (2020). On the low Mach number limit for Quantum Navier-Stokes equations. SIAM J. Math. Anal., 52 n. 6, pp. 6105-6139 (2020).

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati (2020). Analysis of acoustic oscillations for a class of hydrodynamic systems describing quantum fluids. to appear in Fluid Dynamics, Dispersive Perturbations and Quantum Fluids, Lecture Notes of the Unione Matematica Italiana.

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati (2020). The incompressible limit for finite energy weak solutions of quantum Navier--Stokes equations. Proceedings of the XVII International Conference (HYP2018) on Hyperbolic Problems, AIMS.

Lars Eric Hientzsch (2019). Nonlinear Schroedinger equations and quantum fluids non vanishing at infinity: incompressible limit and quantum vortices. PhD Thesis.

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati, Hao Zheng (2018). On some results for quantum hydrodynamical models. RIMS Kokyuroku: 2070 Mathematical Fluids and Gas dynamics.