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For the associated initial-boundary value problem, we study the existence of weak solutions as well as the large time behavior of the solutions.<\/jats:p>","DOI":"10.1088\/1742-6596\/1268\/1\/012008","type":"journal-article","created":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T11:13:20Z","timestamp":1563275600000},"page":"012008","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":10,"title":["Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids"],"prefix":"10.1088","volume":"1268","author":[{"given":"S N","family":"Antontsev","sequence":"first","affiliation":[]},{"given":"H B","family":"de Oliveira","sequence":"additional","affiliation":[]},{"given":"Kh","family":"Khompysh","sequence":"additional","affiliation":[]}],"member":"266","reference":[{"key":"JPCS_1268_1_012008bib1","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1098\/rspl.1865.0052","article-title":"On the elasticity and viscosity of metals","volume":"14","author":"Thompson","year":"1865","journal-title":"Proc. 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