Construction of minimizing travelling waves for the Gross-Pitaevskii equation on $\mathbb{R}\times \mathbb{T}$

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 $\mathbb{R}\times \mathbb{T}$, we construct a branch of finite e…