3 papers
math.AP2021
Lake equations with an evanescent or emergent island
Lars Hientzsch, Christophe Lacave, Evelyne Miot
We study the asymptotic dynamics of the lake equations in the following two cases, an island shrinking to a point and an emerging island. For both cases, we derive an asymptotic la…
math.AP2020
Analysis of acoustic oscillations for a class of hydrodynamic systems describing quantum fluids
Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati
Hydrodynamic systems for quantum fluids are systems for compressible fluid flows for which quantum effects are macroscopically relevant. We discuss how the presence of the dispersi…
math.AP2019
On the low Mach number limit for Quantum Navier-Stokes equations
Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati
We investigate the low Mach number limit for the 3-D quantum Navier-Stokes system. For general ill-prepared initial data, we prove strong convergence of finite energy weak solution…