4 papers · 1 filter
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 pro…
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…