Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid

Luis Miguel Miguel Rodrigues (1)

1 IF - Institut Fourier

In the analysis of the long-time behavior 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 slightly inhomogeneous fluids with respect to localized perturbations.

Domaines: Equations aux dérivées partielles [math.AP]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Luis Miguel Miguel Rodrigues. Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid. Annales de l'I.H.P. (C) - Analyse non linéaire, 2009, 26 (2), pp.625-648. ⟨hal-00943563⟩