2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28810Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the Bogoliubov equations show that a vortex in a trapped Bose-Einstein condensate has formally unstable normal mode(s) with positive normalization and negative frequency, corresponding to a precession of the vortex line around the center of the trap. In a rotating trap, the solution becomes stable above an angular velocity $Ω_m$ characterizing the onset of metastability with respect to small transverse displacements of the vortex from the central axis.RevTex, 5 pages, no figures, we have added a section in which dynamics of a vortex is studied using the method of matched asymptotic expansionStatistical Mechanicstext