133 citations · 336 across the 18 of their papers we have counts for
22 papers
Bifurcating solitonic vortices in a strip
Amandine Aftalion, Philippe Gravejat, Etienne Sandier
The specific geometry of a strip provides connections between solitons and solitonic vortices, which are vortices with a solitonic behaviour in the infinite direction of the strip.…
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…
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…
The cubic Schr{ö}dinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy
André De Laire, Philippe Gravejat
We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation for bi-axial ferromagnets. We put the focus on the cubic Schr{ö}dinger equation, which is known to desc…