92 citations · 254 across the 19 of their papers we have counts for
24 papers
Construction of minimizing travelling waves for the Gross-Pitaevskii equation on
André de Laire, Philippe Gravejat, Didier Smets
As a sequel to our previous analysis in [9] arXiv:2202.09411 on the Gross-Pitaevskii equation on the product space , we construct a branch of finite e…
Radiative Transfer For Variable 3D Atmospheres
Francois Golse, Frederic Hecht, Olivier Pironneau +2
To study the temperature in a gas subjected to electromagnetic radiations, one may use the Radiative Transfer equations coupled with the Navier-Stokes equations. The problem has 7…
Minimizing travelling waves for the Gross-Pitaevskii equation on
André de Laire, Philippe Gravejat, Didier Smets
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, or equivalently on the product space where $L >…
On the stability of the Ginzburg-Landau vortex
Philippe Gravejat, Eliot Pacherie, Didier Smets
We introduce a functional framework taylored to investigate the minimality and stability properties of the Ginzburg-Landau vortex of degree one on the whole plane. We prove that a…
Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation
Ludovic Godard-Cadillac, Philippe Gravejat, Didier Smets
We provide a variational construction of special solutions to the generalized surface quasi-geostrophic equations. These solutions take the form of N vortex patches with N-fold sym…
Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation
R. L. Jerrard, D. Smets
In the nineties, Klein, Majda and Damodaran have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the thr…