Gross-Pitaevskii vortex motion with critically-scaled inhomogeneities

Matthias Kurzke, Jeremy L. Marzuola, Daniel Spirn

We study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation $i{\partial }_{t}u=\Delta u+\frac{1}{{\epsilon }^2}(p_{\epsilon }^2(x)-|u{|}^2)$. For a unique scaling re…