{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T06:43:02Z","timestamp":1765608182411,"version":"3.41.2"},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2009,3,4]],"date-time":"2009-03-04T00:00:00Z","timestamp":1236124800000},"content-version":"vor","delay-in-days":62,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>We consider the uniform attractors for the two dimensional nonautonomous g\u2010Navier\u2010Stokes equations in bounded domain <jats:italic>\u03a9<\/jats:italic>. Assuming , we establish the existence of the uniform attractor in <jats:italic>L<\/jats:italic><jats:sup>2<\/jats:sup>(<jats:italic>\u03a9<\/jats:italic>) and <jats:italic>D<\/jats:italic>(<jats:italic>A<\/jats:italic><jats:sup>1\/2<\/jats:sup>). The fractal dimension is estimated for the\nkernel sections of the uniform attractors obtained.<\/jats:p>","DOI":"10.1155\/2009\/150420","type":"journal-article","created":{"date-parts":[[2009,3,8]],"date-time":"2009-03-08T13:59:19Z","timestamp":1236520759000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Finite\u2010Dimensional Uniform Attractors for the Nonautonomous g\u2010Navier\u2010Stokes Equations"],"prefix":"10.1155","volume":"2009","author":[{"given":"Delin","family":"Wu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2009,3,4]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.08.016"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.04.050"},{"key":"e_1_2_7_3_2","first-page":"91","article-title":"\u00dcber ein dynamisches System,  das durch die Navier-Stokesschen Gleichungen erzeugt wird","volume":"27","author":"Ladyzhenskaya O. 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