{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:53:38Z","timestamp":1777449218599,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2015,2,1]],"date-time":"2015-02-01T00:00:00Z","timestamp":1422748800000},"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":[[2015,2]]},"abstract":"<jats:p>\n                    We address the global regularity for the 2D Boussinesq equations with positive viscosity and zero diffusivity. We prove that for data (u\n                    <jats:sub>0<\/jats:sub>\n                    ,\u03c1\n                    <jats:sub>0<\/jats:sub>\n                    ) in H\n                    <jats:sup>s<\/jats:sup>\n                    \u00d7H\n                    <jats:sup>s\u22121<\/jats:sup>\n                    , where 1&lt;s&lt;2, the persistence of regularity holds, i.e., the solution (u(t),\u03c1(t)) exists and belongs to H\n                    <jats:sup>s<\/jats:sup>\n                    \u00d7H\n                    <jats:sup>s\u22121<\/jats:sup>\n                    for all positive t. Given the existing results, this provides the persistence of regularity for all s\u22650. In addition, we address the H\n                    <jats:sup>s<\/jats:sup>\n                    \u00d7H\n                    <jats:sup>s<\/jats:sup>\n                    persistence and establish it for all s&gt;1.\n                  <\/jats:p>","DOI":"10.3233\/asy-141261","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:37:58Z","timestamp":1575056278000},"page":"111-124","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":21,"title":["Persistence of regularity for the viscous Boussinesq equations with zero diffusivity"],"prefix":"10.1177","volume":"91","author":[{"given":"Weiwei","family":"Hu","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Igor","family":"Kukavica","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed","family":"Ziane","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA. E-mails: weiweihu@usc.edu, kukavica@usc.edu, ziane@usc.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,2,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141261","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141261","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:21Z","timestamp":1777380021000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["10.3233\/ASY-141261"],"URL":"https:\/\/doi.org\/10.3233\/asy-141261","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2]]}}}