Gross-Pitaevskii vortex motion with critically scaled inhomogeneities
(2017)
Journal Article
Kurzke, M., Marzuola, J. L., & Spirn, D. (2017). Gross-Pitaevskii vortex motion with critically scaled inhomogeneities. SIAM Journal on Mathematical Analysis, 49(1), 471-500. https://doi.org/10.1137/15M1049014
We study the dynamics of vortices in an inhomogeneous Gross--Pitaevskii equation iδtu = Δu + 1/ε²(ρ² ε(ᵡ) - |u|²). For a unique scaling regime |ρε(ᵡ) - 1 = O(logε¯¹), it is shown that vortices can interact both with the background perturbation and wi... Read More about Gross-Pitaevskii vortex motion with critically scaled inhomogeneities.