{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T19:25:28Z","timestamp":1781205928553,"version":"3.54.1"},"reference-count":9,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>We investigate a problem for a model of a non-Newtonian micropolar fluid coupled system. The problem has been considered in a bounded, smooth domain of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:math>with Dirichlet boundary conditions. The operator stress tensor is given by<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>\u03c4<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>e<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>u<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mo>=<\/mml:mo><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u03bd<\/mml:mi><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi>\u03bd<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mi>M<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mo stretchy=\"false\">|<\/mml:mo><mml:mi>e<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>u<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><mml:msup><mml:mrow><mml:mo stretchy=\"false\">|<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mi>e<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>u<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mo stretchy=\"false\">]<\/mml:mo><\/mml:math>. To prove the existence of weak solutions we use the method of Faedo-Galerkin and compactness arguments. Uniqueness and periodicity of solutions are also considered.<\/jats:p>","DOI":"10.1155\/2015\/481754","type":"journal-article","created":{"date-parts":[[2015,2,19]],"date-time":"2015-02-19T21:02:27Z","timestamp":1424379747000},"page":"1-11","source":"Crossref","is-referenced-by-count":6,"title":["On a System of Equations of a Non-Newtonian Micropolar Fluid"],"prefix":"10.1155","volume":"2015","author":[{"given":"G. M.","family":"de Ara\u00fajo","sequence":"first","affiliation":[{"name":"Instituto de Ci\u00eancias Exatas e Naturais, UFPA, Rua Augusto Corr\u00eaa s\/n, 66075-110 Bel\u00e9m, PA, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M. A. F.","family":"de Ara\u00fajo","sequence":"additional","affiliation":[{"name":"Departamento de Matematica, UFMA, Avenida dos Portugueses 1966, 65080-805 S\u00e3o Lu\u00eds, MA, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E. F. L.","family":"Lucena","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, UFPA, Rua Leandro Ribeiro s\/n, 68600-000 Bragan\u00e7a, PA, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"98","reference":[{"key":"11","year":"1996"},{"issue":"6","key":"12","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1142\/S0218202595000449","volume":"5","year":"1995","journal-title":"Mathematical Models and Methods in Applied Sciences"},{"key":"9","year":"1969"},{"issue":"3","key":"10","first-page":"257","volume":"6","year":"2001","journal-title":"Advances in Differential Equations"},{"key":"5","first-page":"559","volume-title":"Problems due to the no-slip boundary in incompressible fluid dynamics","year":"2003"},{"key":"1","first-page":"1","volume":"16","year":"1966","journal-title":"Journal of Mathematical Fluid Mechanics"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/s0895-71779800044-2"},{"key":"6","series-title":"Modeling and Simulations in Science, Engineering and Technology","year":"1999"},{"key":"2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/481754.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/481754.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/481754.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,23]],"date-time":"2017-06-23T05:55:19Z","timestamp":1498197319000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/481754\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":9,"alternative-id":["481754","481754"],"URL":"https:\/\/doi.org\/10.1155\/2015\/481754","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}