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arXiv:math/0611618 [math.AP]AbstractReferencesReviewsResources

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

L. Miguel Rodrigues

Published 2006-11-20Version 1

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.

Comments: 29 pages, no figure
Categories: math.AP, math-ph, math.MP
Subjects: 76D05, 35Q30, 35B35
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