Hydrodynamic limit of the Gross-Pitaevskii equation

Robert L. Jerrard, Daniel Spirn

We study dynamics of vortices in solutions of the Gross-Pitaevskii equation $i{\partial }_{t}u=\Delta u+{\epsilon }^{-2}u(1-|u{|}^2)$ on ${\mathbb{R}}^2$ with nonzero degree at infinity…