92 citations · 254 across the 19 of their papers we have counts for
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Desingularization of vortices for the Euler equation
Didier Smets, Jean Van Schaftingen
We study the existence of stationary classical solutions of the incompressible Euler equation in the plane that approximate singular stationnary solutions of this equation. The con…
Slow motion for gradient systems with equal depth multiple-well potentials
Fabrice Bethuel, Didier Smets, Giandomenico Orlandi
For scalar reaction-diffusion in one space dimension, it is known for a long time that fronts move with an exponentially small speed for potentials with several distinct mini- mize…
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation II
Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut +1
In this paper, we proceed along our analysis of the Korteweg-de Vries approximation of the Gross-Pitaevskii equation initiated in a previous paper. At the long-wave limit, we estab…