{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T16:48:43Z","timestamp":1774630123818,"version":"3.50.1"},"reference-count":39,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,7,26]],"date-time":"2021-07-26T00:00:00Z","timestamp":1627257600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Micropolar fluids are fluids with microstructure and belong to a class of fluids with asymmetric stress tensor that called Polar fluids, and include, as a special case, the well-established Navier\u2013Stokes model. In this work we study a 3D micropolar fluids model with Navier boundary conditions without friction for the velocity field and homogeneous Dirichlet boundary conditions for the angular velocity. Using the Galerkin method, we prove the existence of weak solutions and establish a Prodi\u2013Serrin regularity type result which allow us to obtain global-in-time strong solutions at finite time.<\/jats:p>","DOI":"10.3390\/sym13081348","type":"journal-article","created":{"date-parts":[[2021,7,26]],"date-time":"2021-07-26T09:25:52Z","timestamp":1627291552000},"page":"1348","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A 3D Non-Stationary Micropolar Fluids Equations with Navier Slip Boundary Conditions"],"prefix":"10.3390","volume":"13","author":[{"given":"Cristian","family":"Duarte-Leiva","sequence":"first","affiliation":[{"name":"Programa Mag\u00edster en Ciencias con Menci\u00f3n en Matem\u00e1tica, Departamento de Matem\u00e1tica, Universidad de Tarapac\u00e1, Av. 18 de Septiembre 2222, Arica 1000000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebasti\u00e1n","family":"Lorca","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidad de Tarapac\u00e1, Av. 18 de Septiembre 2222, Arica 1000000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7726-2362","authenticated-orcid":false,"given":"Exequiel","family":"Mallea-Zepeda","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidad de Tarapac\u00e1, Av. 18 de Septiembre 2222, Arica 1000000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0020-7225(64)90005-9","article-title":"Simple microfluids","volume":"2","author":"Eringen","year":"1964","journal-title":"Int. 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