{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T21:50:02Z","timestamp":1757541002599},"reference-count":19,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["MFC"],"published-print":{"date-parts":[[2021]]},"DOI":"10.3934\/mfc.2021007","type":"journal-article","created":{"date-parts":[[2021,5,12]],"date-time":"2021-05-12T01:21:42Z","timestamp":1620782502000},"page":"117","source":"Crossref","is-referenced-by-count":4,"title":["Global attractors of the 3D micropolar equations with damping term"],"prefix":"10.3934","volume":"4","author":[{"given":"Xiaojie","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chengfeng","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mfc.2021007-1","doi-asserted-by":"publisher","unstructured":"X. Cai, Q. Jiu.Weak and strong solutions for the incompressible Navier-Stokes equations with damping, <i>J. Math. Anal. Appl.<\/i>, <b>343<\/b> (2008), 799-809.","DOI":"10.1016\/j.jmaa.2008.01.041"},{"key":"key-10.3934\/mfc.2021007-2","doi-asserted-by":"publisher","unstructured":"Q. Chen, C. Miao.Global well-posedness for the micropolar fluid system in critical Besov spaces, <i>J. Differential Equations<\/i>, <b>252<\/b> (2012), 2698-2724.","DOI":"10.1016\/j.jde.2011.09.035"},{"key":"key-10.3934\/mfc.2021007-3","doi-asserted-by":"publisher","unstructured":"A. C. Eringen.Theory of micropolar fluids, <i>J. Math. Mech.<\/i>, <b>16<\/b> (1966), 1-18.","DOI":"10.1512\/iumj.1967.16.16001"},{"key":"key-10.3934\/mfc.2021007-4","unstructured":"V. A. Galaktionov, On blow-up \"twistors\" for the Navier-Stokes equations in $\\mathbb{R}^{3}$: A view from reaction-diffusion theory, preprint, arXiv: 0901.4286v1."},{"key":"key-10.3934\/mfc.2021007-5","doi-asserted-by":"publisher","unstructured":"G. P. Galdi, S. Rionero.A note on the existence and uniqueness of solutions of the micropolar fluid equations, <i>Internat. J. Engrg. Sci.<\/i>, <b>15<\/b> (1977), 105-108.","DOI":"10.1016\/0020-7225(77)90025-8"},{"key":"key-10.3934\/mfc.2021007-6","doi-asserted-by":"publisher","unstructured":"K. W. Hajduk, J. C. Robinson.Energy equality for the 3D critical convective Brinkman-Forchheimer equations, <i>J. Differential Equations<\/i>, <b>263<\/b> (2017), 7141-7161.","DOI":"10.1016\/j.jde.2017.08.001"},{"key":"key-10.3934\/mfc.2021007-7","doi-asserted-by":"publisher","unstructured":"Y. Jia, X. Zhang, B.-Q. Dong.The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping, <i>Nonlinear Anal. Real World Appl.<\/i>, <b>12<\/b> (2011), 1736-1747.","DOI":"10.1016\/j.nonrwa.2010.11.006"},{"key":"key-10.3934\/mfc.2021007-8","doi-asserted-by":"publisher","unstructured":"H. Liu, H. Gao.Decay of solutions for the 3D Navier-Stokes equations with damping, <i>Appl. Math. Lett.<\/i>, <b>68<\/b> (2017), 48-54.","DOI":"10.1016\/j.aml.2016.11.013"},{"key":"key-10.3934\/mfc.2021007-9","doi-asserted-by":"publisher","unstructured":"H. Liu, H. Gao.Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping, <i>Commun. Math. Sci.<\/i>, <b>16<\/b> (2018), 97-122.","DOI":"10.4310\/CMS.2018.v16.n1.a5"},{"key":"key-10.3934\/mfc.2021007-10","doi-asserted-by":"publisher","unstructured":"H. Liu, C. Sun, F. Meng.Global well-posedness of the 3D magneto-micropolar equations with damping, <i>Appl. Math. Lett.<\/i>, <b>94<\/b> (2019), 38-43.","DOI":"10.1016\/j.aml.2019.02.026"},{"key":"key-10.3934\/mfc.2021007-11","doi-asserted-by":"publisher","unstructured":"H. Liu, C. Sun, J. Xin.Attractors of the 3D magnetohydrodynamics equations with damping, <i>Bull. Malays. Math. Sci. Soc.<\/i>, <b>44<\/b> (2021), 337-351.","DOI":"10.1007\/s40840-020-00949-0"},{"key":"key-10.3934\/mfc.2021007-12","doi-asserted-by":"publisher","unstructured":"H. B. de Oliveira.Existence of weak solutions for the generalized Navier-Stokes equations with damping, <i>NoDEA Nonlinear Differential Equations Appl.<\/i>, <b>20<\/b> (2013), 797-824.","DOI":"10.1007\/s00030-012-0180-3"},{"key":"key-10.3934\/mfc.2021007-13","doi-asserted-by":"publisher","unstructured":"M. A. Rojas-Medar.Magneto-micropolar fluid motion: Existence and uniqueness of strong solution, <i>Math. Nachr.<\/i>, <b>188<\/b> (1997), 301-319.","DOI":"10.1002\/mana.19971880116"},{"key":"key-10.3934\/mfc.2021007-14","doi-asserted-by":"publisher","unstructured":"X.-L. Song, Y.-R. Hou.Attractors for the three-diemensional incompressible Navier-Stokes equations with damping, <i>Discrete Contin. Dyn. Syst.<\/i>, <b>31<\/b> (2011), 239-252.","DOI":"10.3934\/dcds.2011.31.239"},{"key":"key-10.3934\/mfc.2021007-15","doi-asserted-by":"publisher","unstructured":"X.-L. Song, Y.-R. Hou.Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping, <i>J. Math. Anal. Appl.<\/i>, <b>422<\/b> (2015), 337-351.","DOI":"10.1016\/j.jmaa.2014.08.044"},{"key":"key-10.3934\/mfc.2021007-16","doi-asserted-by":"publisher","unstructured":"E. S. Titi, S. Trabelsi.Global well-posedness of a 3D MHD model in porous media, <i>J. Geom. Mech.<\/i>, <b>11<\/b> (2019), 621-637.","DOI":"10.3934\/jgm.2019031"},{"key":"key-10.3934\/mfc.2021007-17","doi-asserted-by":"publisher","unstructured":"N. Yamaguchi.Existence of global strong solution to the micropolar fluid system in a bounded domain, <i>Math. Methods Appl. Sci.<\/i>, <b>28<\/b> (2005), 1507-1526.","DOI":"10.1002\/mma.617"},{"key":"key-10.3934\/mfc.2021007-18","doi-asserted-by":"publisher","unstructured":"Z. Ye.Global existence of solution to the 3D micropolar equations with a damping term, <i>Appl. Math. Lett.<\/i>, <b>83<\/b> (2018), 188-193.","DOI":"10.1016\/j.aml.2018.04.002"},{"key":"key-10.3934\/mfc.2021007-19","doi-asserted-by":"publisher","unstructured":"Y. Zhou.Regularity and uniqueness for the 3D incompressible Navier-Stokes equations with damping, <i>Appl. Math. Lett.<\/i>, <b>25<\/b> (2012), 1822-1825.","DOI":"10.1016\/j.aml.2012.02.029"}],"container-title":["Mathematical Foundations of Computing"],"original-title":[],"deposited":{"date-parts":[[2021,6,10]],"date-time":"2021-06-10T00:38:05Z","timestamp":1623285485000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/mfc.2021007"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":19,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021]]}},"alternative-id":["2577-8838_2021_2_117"],"URL":"https:\/\/doi.org\/10.3934\/mfc.2021007","relation":{},"ISSN":["2577-8838"],"issn-type":[{"value":"2577-8838","type":"print"}],"subject":[],"published":{"date-parts":[[2021]]}}}