17 citations · 33 across the 9 of their papers we have counts for
9 papers
Inviscid incompressible limit for capillary fluids with density dependent viscosity
Matteo Caggio, Donatella Donatelli, Lars Eric Hientzsch
The asymptotic limit of the 2D and 3D Navier-Stokes-Korteweg system for barotropic capillary fluids with density dependent viscosities in the low Mach number and vanishing viscosit…
On the dynamics of leapfrogging vortex rings
Martin Donati, Lars Eric Hientzsch, Christophe Lacave +1
The evolution of highly concentrated vorticity around rings in the three-dimensional axisymmetric Euler equations is studied in a regime for which the leapfrogging dynamics predict…
Strong ill-posedness in of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations
Roberta Bianchini, Lars Eric Hientzsch, Felice Iandoli
We prove the strong ill-posedness in the sense of Hadamard of the two-dimensional Boussinesq equations in without boundary, extending to the case of s…
Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity
Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati
Relevant physical phenomena are described by nonlinear Schrödinger equations with non-vanishing conditions at infinity. This paper investigates the respective 2D and 3D Cauchy prob…
Dynamics of several point vortices for the lake equations
Lars Eric Hientzsch, Christophe Lacave, Evelyne Miot
The global asymptotic dynamics of point vortices for the lake equations is rigorously derived. Vorticity that is initially sharply concentrated around distinct vortex centers i…
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…
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…
Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior
Paolo Antonelli, Lars Eric Hientzsch, Stefano Spirito
We prove global existence of finite energy weak solutions to the quantum Navier-Stokes equations in the whole space with non trivial far-field condition in dimensions d = 2,3. The…
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…