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By using the energy method and the regularization of generalized heat operators, we obtain the global regularity for this model under minimal amount dissipation.<\/jats:p>","DOI":"10.1155\/2021\/9943271","type":"journal-article","created":{"date-parts":[[2021,6,5]],"date-time":"2021-06-05T00:07:56Z","timestamp":1622851676000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Global Well\u2010Posedness for the <i>d<\/i>\u2010Dimensional Magnetic B\u00e9nard Problem without Thermal Diffusion"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8642-1065","authenticated-orcid":false,"given":"Yinhong","family":"Cao","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,6,4]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2005.03.035"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf00280699"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20253"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-010-0354-2"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-002-0230-9"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-018-0559-3"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jare.2020.04.006"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2012.12.019"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/mma.4116"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00021-019-0444-3"},{"key":"e_1_2_7_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160410704"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1090\/s0894-0347-1991-1086966-0"},{"key":"e_1_2_7_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-16830-7"},{"key":"e_1_2_7_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-020-02532-6"},{"key":"e_1_2_7_15_2","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2018.1434150"},{"key":"e_1_2_7_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-66451-9"},{"volume-title":"Littlewood-Paley Theory and its Applications in Partial Differential Equations of Fluid Dynamics","year":"2012","author":"Miao C.","key":"e_1_2_7_17_2"},{"key":"e_1_2_7_18_2","doi-asserted-by":"publisher","DOI":"10.1515\/9783110812411"},{"key":"e_1_2_7_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0346-0419-2"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/9943271.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/9943271.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/9943271","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T21:47:26Z","timestamp":1723240046000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/9943271"}},"subtitle":[],"editor":[{"given":"Heng","family":"Liu","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/9943271"],"URL":"https:\/\/doi.org\/10.1155\/2021\/9943271","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-03-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-05-11","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-06-04","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"9943271"}}