  In the analysis of the long-time behaviour of two-dimensional incompressible
viscous fluids, Oseen vortices play a major role as attractors of any
homogeneous solution with integrable initial vorticity. As a first step in the
study of the density-dependent case, the present paper establishes the
asymptotic stability of Oseen vortices for slighty inhomogeneous fluids with
respect to localized regular perturbations.
