Gross-Pitaevskii Vortex Motion with Critically-scaled Inhomogeneities

Thursday, November 3, 2016 - 2:00pm - 2:50pm
Keller 3-180
Jeremy Marzuola (University of North Carolina, Chapel Hill)
With Matthias Kurzke and Dan Spirn, we study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation. For a unique scaling regime, it is shown that vortices can interact both with the background perturbation and with each other. Results for associated parabolic and elliptic problems will be discussed.