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

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

2006-11-20

arxiv.org/abs/math/0611618v1

Mathematics

Analysis of PDEs

29 pages, no figure

Scientific paper

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.

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