Abstract

As a sequel to our previous analysis of the Gross–Pitaevskii equation on the product space $ℝ\times \mathbb{𝕋}$, we construct finite energy traveling waves as minimizers of the Ginzburg–Landau energy at fixed momentum. The proof of the compactness of minimizing sequences relies on a new symmetrization argument, well-suited to the periodic setting.

Keywords

Mathematical Subject Classification

Milestones

Authors