{ "id": "math/0611618", "version": "v1", "published": "2006-11-20T20:40:07.000Z", "updated": "2006-11-20T20:40:07.000Z", "title": "Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid", "authors": [ "L. Miguel Rodrigues" ], "comment": "29 pages, no figure", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2006-11-20T20:40:07.000Z" } ], "analyses": { "subjects": [ "76D05", "35Q30", "35B35" ], "keywords": [ "density-dependent incompressible viscous fluid", "asymptotic stability", "oseen vortices play", "major role", "long-time behaviour" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11618R" } } }