{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T20:28:34Z","timestamp":1778185714105,"version":"3.51.4"},"reference-count":27,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2015,8,1]],"date-time":"2015-08-01T00:00:00Z","timestamp":1438387200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2015,8,13]]},"abstract":"<jats:p>Abstract<\/jats:p>\n                  <jats:p>In this paper, temporal decay estimates for weak solutions to the three dimensional generalized Navier\u2013Stokes equations are established firstly. With these estimates at disposal, algebraic time decay for higher order Sobolev norms of small initial data solutions are obtained. The decay rates are optimal in the sense that they coincide with ones of the corresponding generalized heat equation.<\/jats:p>","DOI":"10.3233\/asy-151307","type":"journal-article","created":{"date-parts":[[2015,8,17]],"date-time":"2015-08-17T15:37:45Z","timestamp":1439825865000},"page":"105-124","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":17,"title":["Decay of solutions to the three-dimensional generalized Navier\u2013Stokes equations"],"prefix":"10.1177","volume":"94","author":[{"given":"Quansen","family":"Jiu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China. E-mails:\u00a0,\u00a0"}]},{"given":"Huan","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China. 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