{ "id": "0705.3671", "version": "v1", "published": "2007-05-24T22:04:04.000Z", "updated": "2007-05-24T22:04:04.000Z", "title": "Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel", "authors": [ "Guglielmo Fucci", "Bixiang Wang", "Preeti Singh" ], "journal": "Nonlinear Analysis, 70 (2009) 2000-2013", "doi": "10.1016/j.na.2008.02.098", "categories": [ "math-ph", "math.MP" ], "abstract": "We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions. We also establish the regularity of the global attractor.", "revisions": [ { "version": "v1", "updated": "2007-05-24T22:04:04.000Z" } ], "analyses": { "subjects": [ "35B40", "35B41", "37L30" ], "keywords": [ "two-dimensional channel", "asymptotic behavior", "global attractor", "asymptotic compactness", "uniform estimates" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0705.3671F" } } }