Qin, Liuna; Zhang, Yinghui Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations. (English) Zbl 07567959 Appl. Math. Lett. 133, Article ID 108286, 7 p. (2022). MSC: 35-XX 76-XX PDF BibTeX XML Cite \textit{L. Qin} and \textit{Y. Zhang}, Appl. Math. Lett. 133, Article ID 108286, 7 p. (2022; Zbl 07567959) Full Text: DOI OpenURL
Liu, Yujun Global regularity and time decay for the 2D magneto-micropolar system with fractional dissipation and partial magnetic diffusion. (English) Zbl 07549721 Commun. Math. Sci. 20, No. 5, 1211-1241 (2022). MSC: 35B65 35B40 35Q35 35R11 76D03 PDF BibTeX XML Cite \textit{Y. Liu}, Commun. Math. Sci. 20, No. 5, 1211--1241 (2022; Zbl 07549721) Full Text: DOI OpenURL
Ai, Chengfei; Tan, Zhong Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity. (English) Zbl 07540939 Appl. Math. Lett. 132, Article ID 108104, 8 p. (2022). MSC: 35Qxx 76-XX PDF BibTeX XML Cite \textit{C. Ai} and \textit{Z. Tan}, Appl. Math. Lett. 132, Article ID 108104, 8 p. (2022; Zbl 07540939) Full Text: DOI OpenURL
Chamorro, Diego; Llerena, David Interior \(\epsilon \)-regularity theory for the solutions of the magneto-micropolar equations with a perturbation term. (English) Zbl 07531960 J. Elliptic Parabol. Equ. 8, No. 1, 555-616 (2022). MSC: 35B65 35Q35 76D03 PDF BibTeX XML Cite \textit{D. Chamorro} and \textit{D. Llerena}, J. Elliptic Parabol. Equ. 8, No. 1, 555--616 (2022; Zbl 07531960) Full Text: DOI OpenURL
Lu, Cheng; Wang, Yuzhu Global existence and time-decay rates of solutions to 2D magneto-micropolar fluid equations with partial viscosity. (English) Zbl 07527004 J. Partial Differ. Equations 35, No. 2, 173-198 (2022). MSC: 35K55 35B40 PDF BibTeX XML Cite \textit{C. Lu} and \textit{Y. Wang}, J. Partial Differ. Equations 35, No. 2, 173--198 (2022; Zbl 07527004) Full Text: DOI OpenURL
Cruz, F. W.; Novais, M. M. On the strong solutions of the 3D magneto-micropolar equations. (English) Zbl 1487.35284 Appl. Anal. 101, No. 6, 1963-1970 (2022). MSC: 35Q30 35Q35 76A05 76W05 35B65 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{F. W. Cruz} and \textit{M. M. Novais}, Appl. Anal. 101, No. 6, 1963--1970 (2022; Zbl 1487.35284) Full Text: DOI OpenURL
Li, Ming Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation. (English) Zbl 07517424 Z. Angew. Math. Phys. 73, No. 3, Paper No. 100, 20 p. (2022). MSC: 35Q35 76A05 76W05 76U05 35B40 76D03 PDF BibTeX XML Cite \textit{M. Li}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 100, 20 p. (2022; Zbl 07517424) Full Text: DOI OpenURL
Zhang, Peixin; Zhu, Mingxuan Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids. (English) Zbl 07511501 Appl. Math., Praha 67, No. 2, 199-208 (2022). MSC: 35A01 35Q30 76B03 PDF BibTeX XML Cite \textit{P. Zhang} and \textit{M. Zhu}, Appl. Math., Praha 67, No. 2, 199--208 (2022; Zbl 07511501) Full Text: DOI OpenURL
Niche, César J.; Perusato, Cilon F. Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids. (English) Zbl 07491055 Z. Angew. Math. Phys. 73, No. 2, Paper No. 48, 20 p. (2022). MSC: 35Qxx 35B40 35Q35 PDF BibTeX XML Cite \textit{C. J. Niche} and \textit{C. F. Perusato}, Z. Angew. Math. Phys. 73, No. 2, Paper No. 48, 20 p. (2022; Zbl 07491055) Full Text: DOI arXiv OpenURL
Zhang, Hui A global regularity result for the 2D generalized magneto-micropolar equations. (English) Zbl 1485.35097 J. Funct. Spaces 2022, Article ID 1501851, 6 p. (2022). MSC: 35B65 35Q35 76W05 PDF BibTeX XML Cite \textit{H. Zhang}, J. Funct. Spaces 2022, Article ID 1501851, 6 p. (2022; Zbl 1485.35097) Full Text: DOI OpenURL
Fan, Jishan; Zhong, Xin Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations. (English) Zbl 07478979 Appl. Math. Lett. 127, Article ID 107840, 5 p. (2022). MSC: 35Qxx 76-XX PDF BibTeX XML Cite \textit{J. Fan} and \textit{X. Zhong}, Appl. Math. Lett. 127, Article ID 107840, 5 p. (2022; Zbl 07478979) Full Text: DOI OpenURL
Zhong, Xin Global well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum. (English) Zbl 1482.35183 Commun. Pure Appl. Anal. 21, No. 2, 493-515 (2022). MSC: 35Q35 76A05 76W05 76U05 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{X. Zhong}, Commun. Pure Appl. Anal. 21, No. 2, 493--515 (2022; Zbl 1482.35183) Full Text: DOI OpenURL
Jia, Yan; Xie, Qianqian; Dong, Bo-Qing Global regularity of the 3D magneto-micropolar equations with fractional dissipation. (English) Zbl 1479.35669 Z. Angew. Math. Phys. 73, No. 1, Paper No. 19, 15 p. (2022). MSC: 35Q35 35B65 35B45 76A10 76B03 76W05 26A33 35R11 PDF BibTeX XML Cite \textit{Y. Jia} et al., Z. Angew. Math. Phys. 73, No. 1, Paper No. 19, 15 p. (2022; Zbl 1479.35669) Full Text: DOI OpenURL
Xu, Qingmei; Zhong, Xin Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum. (English) Zbl 1476.76098 Z. Angew. Math. Phys. 73, No. 1, Paper No. 14, 19 p. (2022). MSC: 76W05 35Q35 76N10 PDF BibTeX XML Cite \textit{Q. Xu} and \textit{X. Zhong}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 14, 19 p. (2022; Zbl 1476.76098) Full Text: DOI OpenURL
Chen, Dongxiang; Liu, Qifeng A new blow up criterion for the 3D magneto-micropolar fluid flows without magnetic diffusion. (English) Zbl 07509906 Bound. Value Probl. 2021, Paper No. 62, 15 p. (2021). MSC: 35Qxx PDF BibTeX XML Cite \textit{D. Chen} and \textit{Q. Liu}, Bound. Value Probl. 2021, Paper No. 62, 15 p. (2021; Zbl 07509906) Full Text: DOI OpenURL
Fan, Jishan; Wang, Peng; Zhou, Yong Uniform regularity for the isentropic compressible magneto-micropolar system. (English) Zbl 1483.76067 Math. Model. Anal. 26, No. 4, 519-527 (2021). MSC: 76W05 35Q35 76N15 PDF BibTeX XML Cite \textit{J. Fan} et al., Math. Model. Anal. 26, No. 4, 519--527 (2021; Zbl 1483.76067) Full Text: DOI OpenURL
Yuan, Baoquan; Zhang, Panpan Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation. (English) Zbl 1482.35181 N. Z. J. Math. 51, 119-130 (2021). MSC: 35Q35 76W05 35B65 76A05 35A01 35A02 26A33 35R11 PDF BibTeX XML Cite \textit{B. Yuan} and \textit{P. Zhang}, N. Z. J. Math. 51, 119--130 (2021; Zbl 1482.35181) Full Text: DOI OpenURL
Zhong, Xin Singularity formation to the nonhomogeneous magneto-micropolar fluid equations. (English) Zbl 1479.35706 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6339-6357 (2021). MSC: 35Q35 35B65 35B44 35D35 35A01 76W05 76A05 76U05 PDF BibTeX XML Cite \textit{X. Zhong}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6339--6357 (2021; Zbl 1479.35706) Full Text: DOI OpenURL
Tang, Tong; Sun, Jianzhu Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum. (English) Zbl 1479.35695 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6017-6026 (2021). MSC: 35Q35 35B40 76W05 76A05 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{T. Tang} and \textit{J. Sun}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6017--6026 (2021; Zbl 1479.35695) Full Text: DOI OpenURL
Fan, Jishan; Zhou, Yong Global solutions to the incompressible magneto-micropolar system in a bounded domain in 2D. (English) Zbl 1487.35315 Appl. Math. Lett. 118, Article ID 107125, 6 p. (2021). MSC: 35Q35 76A05 76W05 76D05 76D10 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{J. Fan} and \textit{Y. Zhou}, Appl. Math. Lett. 118, Article ID 107125, 6 p. (2021; Zbl 1487.35315) Full Text: DOI OpenURL
Guo, Yana; Jia, Yan; Dong, Bo-Qing Existence and time decay for global small solution of 2D generalized magneto-micropolar equations. (English) Zbl 1481.76286 Acta Appl. Math. 174, Paper No. 3, 19 p. (2021). MSC: 76W05 76A05 35Q35 PDF BibTeX XML Cite \textit{Y. Guo} et al., Acta Appl. Math. 174, Paper No. 3, 19 p. (2021; Zbl 1481.76286) Full Text: DOI OpenURL
Li, Zhouyu; Niu, Pengcheng New regularity criteria for the 3D magneto-micropolar fluid equations in Lorentz spaces. (English) Zbl 1473.35448 Math. Methods Appl. Sci. 44, No. 7, 6056-6066 (2021). MSC: 35Q35 76W05 35B65 PDF BibTeX XML Cite \textit{Z. Li} and \textit{P. Niu}, Math. Methods Appl. Sci. 44, No. 7, 6056--6066 (2021; Zbl 1473.35448) Full Text: DOI OpenURL
Ye, Hailong; Mao, Yiqiu; Jia, Yan Optimal time decay rates of solutions for the 2D generalized magneto-micropolar equations. (English) Zbl 1473.35462 Math. Methods Appl. Sci. 44, No. 8, 6336-6343 (2021). MSC: 35Q35 35B40 PDF BibTeX XML Cite \textit{H. Ye} et al., Math. Methods Appl. Sci. 44, No. 8, 6336--6343 (2021; Zbl 1473.35462) Full Text: DOI OpenURL
Wang, Yuzhu; Li, Weijia Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity near an equilibrium. (English) Zbl 1468.35154 Z. Angew. Math. Phys. 72, No. 1, Paper No. 19, 23 p. (2021). MSC: 35Q35 76A05 76W05 35A01 35A02 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{W. Li}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 19, 23 p. (2021; Zbl 1468.35154) Full Text: DOI OpenURL
Wang, Shasha; Xu, Wen-Qing; Liu, Jitao Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity. (English) Zbl 1464.35258 Z. Angew. Math. Phys. 72, No. 3, Paper No. 103, 23 p. (2021). MSC: 35Q35 76D03 76A05 76W05 35D35 35B65 PDF BibTeX XML Cite \textit{S. Wang} et al., Z. Angew. Math. Phys. 72, No. 3, Paper No. 103, 23 p. (2021; Zbl 1464.35258) Full Text: DOI arXiv OpenURL
Wu, Fan A refined regularity criteria of weak solutions to the magneto-micropolar fluid equations. (English) Zbl 1464.35261 J. Evol. Equ. 21, No. 1, 725-734 (2021). MSC: 35Q35 35B65 76W05 35D30 76D05 76A05 PDF BibTeX XML Cite \textit{F. Wu}, J. Evol. Equ. 21, No. 1, 725--734 (2021; Zbl 1464.35261) Full Text: DOI OpenURL
Deng, Yuze; Zhou, Ling Global regularity of three-dimensional incompressible magneto-micropolar fluid equations with damping. (English) Zbl 1464.35218 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1417-1423 (2021). MSC: 35Q35 35B65 35D35 76N10 76A05 76W05 PDF BibTeX XML Cite \textit{Y. Deng} and \textit{L. Zhou}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1417--1423 (2021; Zbl 1464.35218) Full Text: DOI OpenURL
Zhong, Xin Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. (English) Zbl 1460.35302 Anal. Appl., Singap. 19, No. 2, 245-273 (2021). MSC: 35Q35 76A05 76W05 35D35 35A02 35A01 PDF BibTeX XML Cite \textit{X. Zhong}, Anal. Appl., Singap. 19, No. 2, 245--273 (2021; Zbl 1460.35302) Full Text: DOI OpenURL
Shang, Haifeng; Wu, Jiahong Global regularity for 2D fractional magneto-micropolar equations. (English) Zbl 1456.35167 Math. Z. 297, No. 1-2, 775-802 (2021). MSC: 35Q35 35B65 76A10 42B25 42A38 35B45 35R11 PDF BibTeX XML Cite \textit{H. Shang} and \textit{J. Wu}, Math. Z. 297, No. 1--2, 775--802 (2021; Zbl 1456.35167) Full Text: DOI OpenURL
Deng, Lihua; Shang, Haifeng Global well-posedness for \(n\)-dimensional magneto-micropolar equations with hyperdissipation. (English) Zbl 1451.35129 Appl. Math. Lett. 111, Article ID 106610, 8 p. (2021). MSC: 35Q35 76A05 76W05 35B65 35A01 35A02 35R11 26A33 PDF BibTeX XML Cite \textit{L. Deng} and \textit{H. Shang}, Appl. Math. Lett. 111, Article ID 106610, 8 p. (2021; Zbl 1451.35129) Full Text: DOI OpenURL
Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. (English) Zbl 1467.35267 Z. Angew. Math. Phys. 71, No. 4, Paper No. 141, 24 p. (2020). MSC: 35Q35 35B41 35B65 76A05 76F20 76F55 76W05 35R06 PDF BibTeX XML Cite \textit{C. Zhao} et al., Z. Angew. Math. Phys. 71, No. 4, Paper No. 141, 24 p. (2020; Zbl 1467.35267) Full Text: DOI OpenURL
Zhang, Xinli; Cai, Hong Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain. (English) Zbl 1451.35118 Z. Angew. Math. Phys. 71, No. 6, Paper No. 184, 23 p. (2020). MSC: 35Q30 35Q35 35B10 76N10 76A05 76W05 35A01 35A02 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{H. Cai}, Z. Angew. Math. Phys. 71, No. 6, Paper No. 184, 23 p. (2020; Zbl 1451.35118) Full Text: DOI OpenURL
Perusato, C. F.; Melo, W. G.; Guterres, R. H.; Nunes, J. R. Time asymptotic profiles to the magneto-micropolar system. (English) Zbl 1450.35224 Appl. Anal. 99, No. 15, 2678-2691 (2020). MSC: 35Q35 35B40 76A05 76W05 PDF BibTeX XML Cite \textit{C. F. Perusato} et al., Appl. Anal. 99, No. 15, 2678--2691 (2020; Zbl 1450.35224) Full Text: DOI OpenURL
Ravindran, S. S. An efficient long-time stable second-order accurate time-stepping scheme for evolutionary magneto-micropolar flows. (English) Zbl 1443.65220 Comput. Math. Appl. 79, No. 5, 1302-1320 (2020). MSC: 65M60 65M15 76W05 78A25 PDF BibTeX XML Cite \textit{S. S. Ravindran}, Comput. Math. Appl. 79, No. 5, 1302--1320 (2020; Zbl 1443.65220) Full Text: DOI OpenURL
Lin, Hongxia; Xiang, Zhaoyin Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity. (English) Zbl 1448.35156 Sci. China, Math. 63, No. 7, 1285-1306 (2020). MSC: 35J35 65M70 PDF BibTeX XML Cite \textit{H. Lin} and \textit{Z. Xiang}, Sci. China, Math. 63, No. 7, 1285--1306 (2020; Zbl 1448.35156) Full Text: DOI OpenURL
Liu, Hui; Sun, Chengfeng; Xin, Jie Well-posedness for the hyperviscous magneto-micropolar equations. (English) Zbl 1442.35347 Appl. Math. Lett. 107, Article ID 106403, 4 p. (2020). MSC: 35Q35 76A05 76W05 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{H. Liu} et al., Appl. Math. Lett. 107, Article ID 106403, 4 p. (2020; Zbl 1442.35347) Full Text: DOI OpenURL
Zhong, Xin Global existence and exponential decay of strong solutions of nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum. (English) Zbl 1440.35283 J. Math. Fluid Mech. 22, No. 3, Paper No. 35, 18 p. (2020). MSC: 35Q35 76D03 76W05 35D35 35A01 PDF BibTeX XML Cite \textit{X. Zhong}, J. Math. Fluid Mech. 22, No. 3, Paper No. 35, 18 p. (2020; Zbl 1440.35283) Full Text: DOI OpenURL
Cruz, Felipe W.; Novais, Michele M. Optimal \(L^2\) decay of the magneto-micropolar system in \(\mathbb{R}^3\). (English) Zbl 1440.35265 Z. Angew. Math. Phys. 71, No. 3, Paper No. 91, 26 p. (2020). MSC: 35Q35 35B40 76W05 76U05 76A05 35D30 PDF BibTeX XML Cite \textit{F. W. Cruz} and \textit{M. M. Novais}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 91, 26 p. (2020; Zbl 1440.35265) Full Text: DOI OpenURL
Fan, Jishan; Zhang, Zhaoyun; Zhou, Yong Local well-posedness for the incompressible full magneto-micropolar system with vacuum. (English) Zbl 1453.35149 Z. Angew. Math. Phys. 71, No. 2, Paper No. 42, 11 p. (2020). Reviewer: Song Jiang (Beijing) MSC: 35Q35 35A01 76N15 35A02 35B45 35D35 PDF BibTeX XML Cite \textit{J. Fan} et al., Z. Angew. Math. Phys. 71, No. 2, Paper No. 42, 11 p. (2020; Zbl 1453.35149) Full Text: DOI OpenURL
Wang, Yinxia; Gu, Liuxin Global regularity of 3D magneto-micropolar fluid equations. (English) Zbl 1428.35402 Appl. Math. Lett. 99, Article ID 105980, 9 p. (2020). MSC: 35Q35 76W05 76A05 35B65 35B44 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{L. Gu}, Appl. Math. Lett. 99, Article ID 105980, 9 p. (2020; Zbl 1428.35402) Full Text: DOI OpenURL
Shang, Haifeng; Gu, Chuanwei Large time behavior for two-dimensional magneto-micropolar equations with only micro-rotational dissipation and magnetic diffusion. (English) Zbl 1430.35199 Appl. Math. Lett. 99, Article ID 105977, 7 p. (2020). MSC: 35Q35 35B40 76A05 76W05 76U05 80A19 PDF BibTeX XML Cite \textit{H. Shang} and \textit{C. Gu}, Appl. Math. Lett. 99, Article ID 105977, 7 p. (2020; Zbl 1430.35199) Full Text: DOI OpenURL
Yuan, Baoquan; Li, Xiao Regularity of weak solutions to the 3D magneto-micropolar equations in Besov spaces. (English) Zbl 1428.35409 Acta Appl. Math. 163, 207-223 (2019). MSC: 35Q35 35B65 76W05 35D30 76A05 PDF BibTeX XML Cite \textit{B. Yuan} and \textit{X. Li}, Acta Appl. Math. 163, 207--223 (2019; Zbl 1428.35409) Full Text: DOI OpenURL
Regmi, Dipendra The 2D magneto-micropolar equations with partial dissipation. (English) Zbl 1423.35317 Math. Methods Appl. Sci. 42, No. 12, 4305-4317 (2019). MSC: 35Q35 35B35 35B65 76D03 PDF BibTeX XML Cite \textit{D. Regmi}, Math. Methods Appl. Sci. 42, No. 12, 4305--4317 (2019; Zbl 1423.35317) Full Text: DOI OpenURL
Mallea-Zepeda, Exequiel; Ortega-Torres, Elva Control problem for a magneto-micropolar flow with mixed boundary conditions for the velocity field. (English) Zbl 1428.35385 J. Dyn. Control Syst. 25, No. 4, 599-618 (2019). MSC: 35Q35 76D03 76D55 35D30 76W05 93C20 76U05 35B65 76A99 PDF BibTeX XML Cite \textit{E. Mallea-Zepeda} and \textit{E. Ortega-Torres}, J. Dyn. Control Syst. 25, No. 4, 599--618 (2019; Zbl 1428.35385) Full Text: DOI OpenURL
Shang, Haifeng; Gu, Chuanwei Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation. (English) Zbl 1417.35141 Z. Angew. Math. Phys. 70, No. 3, Paper No. 85, 22 p. (2019). MSC: 35Q35 35B40 35B65 76D03 76D05 76W05 76A05 35A01 PDF BibTeX XML Cite \textit{H. Shang} and \textit{C. Gu}, Z. Angew. Math. Phys. 70, No. 3, Paper No. 85, 22 p. (2019; Zbl 1417.35141) Full Text: DOI OpenURL
Yuan, Baoquan; Qiao, Yuanyuan Global regularity of 2D Leray-alpha regularized incompressible magneto-micropolar equations. (English) Zbl 1416.35223 J. Math. Anal. Appl. 474, No. 1, 492-512 (2019). MSC: 35Q35 76W05 76A05 35B65 PDF BibTeX XML Cite \textit{B. Yuan} and \textit{Y. Qiao}, J. Math. Anal. Appl. 474, No. 1, 492--512 (2019; Zbl 1416.35223) Full Text: DOI OpenURL
Liu, Hui; Sun, Chengfeng; Meng, Fanwei Global well-posedness of the 3D magneto-micropolar equations with damping. (English) Zbl 1417.35133 Appl. Math. Lett. 94, 38-43 (2019). MSC: 35Q35 76A05 76W05 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{H. Liu} et al., Appl. Math. Lett. 94, 38--43 (2019; Zbl 1417.35133) Full Text: DOI OpenURL
Yuan, Baoquan; Qiao, Yuanyuan Global regularity for the 2D magneto-micropolar equations with partial and fractional dissipation. (English) Zbl 1442.86007 Comput. Math. Appl. 76, No. 10, 2345-2359 (2018). MSC: 86A25 35B65 35Q35 35R11 PDF BibTeX XML Cite \textit{B. Yuan} and \textit{Y. Qiao}, Comput. Math. Appl. 76, No. 10, 2345--2359 (2018; Zbl 1442.86007) Full Text: DOI OpenURL
Zhang, Peixin; Zhu, Mingxuan Global regularity of 3D nonhomogeneous incompressible magneto-micropolar system with the density-dependent viscosity. (English) Zbl 1442.76158 Comput. Math. Appl. 76, No. 9, 2304-2314 (2018). MSC: 76W05 35B65 35Q35 PDF BibTeX XML Cite \textit{P. Zhang} and \textit{M. Zhu}, Comput. Math. Appl. 76, No. 9, 2304--2314 (2018; Zbl 1442.76158) Full Text: DOI OpenURL
Zhang, Hui; Chen, Pengfei Vorticity and regularity to the 3D magneto-micropolar fluid equations. (Chinese. English summary) Zbl 1424.35088 Acta Math. Sin., Chin. Ser. 61, No. 6, 1049-1056 (2018). MSC: 35B65 35Q35 76W05 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{P. Chen}, Acta Math. Sin., Chin. Ser. 61, No. 6, 1049--1056 (2018; Zbl 1424.35088) OpenURL
Guterres, Robert H.; Nunes, Juliana R.; Perusato, Cilon F. Decay rates for the magneto-micropolar system in \(L^2(\mathbb {R}^n)\). (English) Zbl 1410.35121 Arch. Math. 111, No. 4, 431-442 (2018). MSC: 35Q35 35B40 76D05 76W05 76U05 76A05 PDF BibTeX XML Cite \textit{R. H. Guterres} et al., Arch. Math. 111, No. 4, 431--442 (2018; Zbl 1410.35121) Full Text: DOI OpenURL
Yamazaki, Kazuo Large deviation principle for the micropolar, magneto-micropolar fluid systems. (English) Zbl 1395.35167 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 913-938 (2018). MSC: 35Q35 37L55 60F10 PDF BibTeX XML Cite \textit{K. Yamazaki}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 913--938 (2018; Zbl 1395.35167) Full Text: DOI OpenURL
Ma, Liangliang On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity. (English) Zbl 1382.35231 Nonlinear Anal., Real World Appl. 40, 95-129 (2018). MSC: 35Q35 35B65 76A05 76W05 35D35 PDF BibTeX XML Cite \textit{L. Ma}, Nonlinear Anal., Real World Appl. 40, 95--129 (2018; Zbl 1382.35231) Full Text: DOI OpenURL
Guo, Yana; Shang, Haifeng Global well-posedness of two-dimensional magneto-micropolar equations with partial dissipation. (English) Zbl 1426.35188 Appl. Math. Comput. 313, 392-407 (2017). MSC: 35Q35 35B35 35B65 76D03 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{H. Shang}, Appl. Math. Comput. 313, 392--407 (2017; Zbl 1426.35188) Full Text: DOI OpenURL
Anh, Cung The; Toi, Vu Manh Local exact controllability to trajectories of the magneto-micropolar fluid equations. (English) Zbl 1366.93045 Evol. Equ. Control Theory 6, No. 3, 357-379 (2017). MSC: 93B05 35Q35 93C20 PDF BibTeX XML Cite \textit{C. T. Anh} and \textit{V. M. Toi}, Evol. Equ. Control Theory 6, No. 3, 357--379 (2017; Zbl 1366.93045) Full Text: DOI OpenURL
Braz e Silva, Pablo; Melo, Wilberclay G.; Zingano, Paulo R. Lower bounds on blow-up of solutions for magneto-micropolar fluid systems in homogeneous Sobolev spaces. (English) Zbl 1369.35052 Acta Appl. Math. 147, No. 1, 1-17 (2017). MSC: 35Q35 74A35 76D05 76W05 76A05 PDF BibTeX XML Cite \textit{P. Braz e Silva} et al., Acta Appl. Math. 147, No. 1, 1--17 (2017; Zbl 1369.35052) Full Text: DOI OpenURL
Shang, Haifeng; Zhao, Jiefeng Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion. (English) Zbl 1356.35187 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 194-209 (2017). MSC: 35Q35 35B65 76W05 35B45 76A05 42B25 PDF BibTeX XML Cite \textit{H. Shang} and \textit{J. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 194--209 (2017; Zbl 1356.35187) Full Text: DOI OpenURL
Wang, Yinxia; Wang, Keyan Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity. (English) Zbl 1352.35126 Nonlinear Anal., Real World Appl. 33, 348-362 (2017). MSC: 35Q35 76W05 76N10 76A05 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{K. Wang}, Nonlinear Anal., Real World Appl. 33, 348--362 (2017; Zbl 1352.35126) Full Text: DOI OpenURL
Liu, Yujun; Li, Shan Global well-posedness for magneto-micropolar system in \(2 \frac{1}{2}\) dimensions. (English) Zbl 1410.35131 Appl. Math. Comput. 280, 72-85 (2016). MSC: 35Q35 35Q60 35A09 35B30 76D03 78A25 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{S. Li}, Appl. Math. Comput. 280, 72--85 (2016; Zbl 1410.35131) Full Text: DOI OpenURL
Yuan, Baoquan; Ma, Li Existence of strong solution to the Magneto-micropolar fluid equations in critical Sobolev space. (Chinese. English summary) Zbl 1374.35112 Acta Math. Appl. Sin. 39, No. 5, 709-718 (2016). MSC: 35D35 35Q35 76D03 PDF BibTeX XML Cite \textit{B. Yuan} and \textit{L. Ma}, Acta Math. Appl. Sin. 39, No. 5, 709--718 (2016; Zbl 1374.35112) OpenURL
Lin, Hongxia; Li, Shan Global well-posedness for the \(2\frac{1}{2}\)D incompressible magneto-micropolar fluid equations with mixed partial viscosity. (English) Zbl 1359.76338 Comput. Math. Appl. 72, No. 4, 1066-1075 (2016). MSC: 76W05 35Q35 35B30 PDF BibTeX XML Cite \textit{H. Lin} and \textit{S. Li}, Comput. Math. Appl. 72, No. 4, 1066--1075 (2016; Zbl 1359.76338) Full Text: DOI OpenURL
Regmi, Dipendra; Wu, Jiahong Global regularity for the 2D magneto-micropolar equations with partial dissipation. (English) Zbl 1363.35296 J. Math. Study 49, No. 2, 169-194 (2016). MSC: 35Q35 35B35 35B65 PDF BibTeX XML Cite \textit{D. Regmi} and \textit{J. Wu}, J. Math. Study 49, No. 2, 169--194 (2016; Zbl 1363.35296) Full Text: DOI Link OpenURL
Zhang, Hui Regularity criterion for weak solutions to the 3D magneto-micropolar fluid equations. (Chinese. English summary) Zbl 1363.35066 J. Math., Wuhan Univ. 36, No. 2, 303-309 (2016). MSC: 35B65 35D30 35Q35 76W05 PDF BibTeX XML Cite \textit{H. Zhang}, J. Math., Wuhan Univ. 36, No. 2, 303--309 (2016; Zbl 1363.35066) OpenURL
Braz e Silva, P.; Friz, L.; Rojas-Medar, M. A. Exponential stability for magneto-micropolar fluids. (English) Zbl 1382.35208 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 211-223 (2016). MSC: 35Q35 35B35 35D35 PDF BibTeX XML Cite \textit{P. Braz e Silva} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 211--223 (2016; Zbl 1382.35208) Full Text: DOI OpenURL
Melo, Wilberclay G. The magneto-micropolar equations with periodic boundary conditions: solution properties at potential blow-up times. (English) Zbl 1334.35248 J. Math. Anal. Appl. 435, No. 2, 1194-1209 (2016). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76A05 35B44 76W05 PDF BibTeX XML Cite \textit{W. G. Melo}, J. Math. Anal. Appl. 435, No. 2, 1194--1209 (2016; Zbl 1334.35248) Full Text: DOI OpenURL
Cheng, Jianfeng; Liu, Yujun Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity. (English) Zbl 1443.35113 Comput. Math. Appl. 70, No. 1, 66-72 (2015). MSC: 35Q35 35B65 76W05 78A25 PDF BibTeX XML Cite \textit{J. Cheng} and \textit{Y. Liu}, Comput. Math. Appl. 70, No. 1, 66--72 (2015; Zbl 1443.35113) Full Text: DOI OpenURL
Wang, Yinxia Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations. (English) Zbl 1381.35008 Bound. Value Probl. 2015, Paper No. 118, 10 p. (2015). MSC: 35B44 35Q35 35B65 76D03 76W05 PDF BibTeX XML Cite \textit{Y. Wang}, Bound. Value Probl. 2015, Paper No. 118, 10 p. (2015; Zbl 1381.35008) Full Text: DOI OpenURL
Zhang, Zujin Regularity criteria for the 3D magneto-micropolar fluid equations via the direction of the velocity. (English) Zbl 1312.76067 Proc. Indian Acad. Sci., Math. Sci. 125, No. 1, 37-43 (2015). MSC: 76W05 35Q35 35B65 PDF BibTeX XML Cite \textit{Z. Zhang}, Proc. Indian Acad. Sci., Math. Sci. 125, No. 1, 37--43 (2015; Zbl 1312.76067) Full Text: DOI OpenURL
Yamazaki, Kazuo Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity. (English) Zbl 1308.35232 Discrete Contin. Dyn. Syst. 35, No. 5, 2193-2207 (2015). MSC: 35Q35 35B65 35Q86 76A05 76W05 86A05 PDF BibTeX XML Cite \textit{K. Yamazaki}, Discrete Contin. Dyn. Syst. 35, No. 5, 2193--2207 (2015; Zbl 1308.35232) Full Text: DOI OpenURL
Yamazaki, Kazuo \((N-1)\) velocity components condition for the generalized MHD system in \(N\)-dimension. (English) Zbl 1326.35292 Kinet. Relat. Models 7, No. 4, 779-792 (2014). Reviewer: Iván Abonyi (Budapest) MSC: 35Q35 76W05 26A33 76A05 35B65 35Q86 PDF BibTeX XML Cite \textit{K. Yamazaki}, Kinet. Relat. Models 7, No. 4, 779--792 (2014; Zbl 1326.35292) Full Text: DOI OpenURL
Zhang, Hui Regularity criteria for the 3D Magneto-Micropolar equations. (Chinese. English summary) Zbl 1313.35263 Acta Math. Appl. Sin. 37, No. 3, 487-496 (2014). MSC: 35Q35 35B65 35D30 PDF BibTeX XML Cite \textit{H. Zhang}, Acta Math. Appl. Sin. 37, No. 3, 487--496 (2014; Zbl 1313.35263) OpenURL
Wang, Changjia Unique solvability for the non-Newtonian magneto-micropolar fluid. (English) Zbl 1296.35151 Bound. Value Probl. 2013, Paper No. 182, 13 p. (2013). MSC: 35Q35 76A05 76X05 35D30 PDF BibTeX XML Cite \textit{C. Wang}, Bound. Value Probl. 2013, Paper No. 182, 13 p. (2013; Zbl 1296.35151) Full Text: DOI OpenURL
Wang, Yinxia Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations. (English) Zbl 1288.35149 Bound. Value Probl. 2013, Paper No. 58, 12 p. (2013). MSC: 35B65 35K15 35K45 35Q35 PDF BibTeX XML Cite \textit{Y. Wang}, Bound. Value Probl. 2013, Paper No. 58, 12 p. (2013; Zbl 1288.35149) Full Text: DOI OpenURL
Zhang, Hui; Zhao, Yongye Blow-up criterion for strong solutions to the 3D magneto-micropolar fluid equations in the multiplier space. (English) Zbl 1288.35407 Electron. J. Differ. Equ. 2012, Paper No. 188, 7 p. (2012). MSC: 35Q35 76D05 35B44 35D35 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{Y. Zhao}, Electron. J. Differ. Equ. 2012, Paper No. 188, 7 p. (2012; Zbl 1288.35407) Full Text: EMIS OpenURL
Xiang, Zhaoyin; Yang, Huizhi On the regularity criteria for the 3D magneto-micropolar fluids in terms of one directional derivative. (English) Zbl 1280.35118 Bound. Value Probl. 2012, Paper No. 139, 14 p. (2012). Reviewer: Cheng He (Beijing) MSC: 35Q35 76W05 35B65 PDF BibTeX XML Cite \textit{Z. Xiang} and \textit{H. Yang}, Bound. Value Probl. 2012, Paper No. 139, 14 p. (2012; Zbl 1280.35118) Full Text: DOI OpenURL
Zhu, Hua; Yuan, Baoquan Regularity criteria for the 3D magneto-micropolar equations in terms of the pressure. (Chinese. English summary) Zbl 1274.35300 J. Yunnan Univ., Nat. Sci. 34, No. 5, 503-509 (2012). MSC: 35Q35 35B65 35D30 76W05 PDF BibTeX XML Cite \textit{H. Zhu} and \textit{B. Yuan}, J. Yunnan Univ., Nat. Sci. 34, No. 5, 503--509 (2012; Zbl 1274.35300) OpenURL
Zhu, Hua; Yuan, Baoquan Regularity of weak solutions to 3D magneto-micropolar fluid equations. (Chinese. English summary) Zbl 1265.35045 Math. Appl. 25, No. 2, 288-294 (2012). MSC: 35D30 35B65 35Q35 PDF BibTeX XML Cite \textit{H. Zhu} and \textit{B. Yuan}, Math. Appl. 25, No. 2, 288--294 (2012; Zbl 1265.35045) OpenURL
Guo, Congchong; Zhang, Zujin; Wang, Jialin Regularity criteria for the 3D magneto-micropolar fluid equations in Besov spaces with negative indices. (English) Zbl 1248.35159 Appl. Math. Comput. 218, No. 21, 10755-10758 (2012). MSC: 35Q35 35B65 30H25 PDF BibTeX XML Cite \textit{C. Guo} et al., Appl. Math. Comput. 218, No. 21, 10755--10758 (2012; Zbl 1248.35159) Full Text: DOI OpenURL
Gala, Sadek; Sawano, Yoshihiro; Tanaka, Hitoshi A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in the Orlicz-Morrey space. (English) Zbl 1256.35079 Math. Methods Appl. Sci. 35, No. 11, 1321-1334 (2012). MSC: 35Q35 35B65 76D05 PDF BibTeX XML Cite \textit{S. Gala} et al., Math. Methods Appl. Sci. 35, No. 11, 1321--1334 (2012; Zbl 1256.35079) Full Text: DOI OpenURL
Xu, Fuyi Regularity criterion of weak solution for the 3D magneto-micropolar fluid equations in Besov spaces. (English) Zbl 1335.35206 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2426-2433 (2012). MSC: 35Q35 35B65 35D30 76W05 PDF BibTeX XML Cite \textit{F. Xu}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2426--2433 (2012; Zbl 1335.35206) Full Text: DOI OpenURL
Wang, Yu-Zhu; Li, Yifang; Wang, Yin-Xia Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity. (English) Zbl 1267.76017 Bound. Value Probl. 2011, Paper No. 11, 11 p. (2011). MSC: 76D03 35Q35 PDF BibTeX XML Cite \textit{Y.-Z. Wang} et al., Bound. Value Probl. 2011, Paper No. 11, 11 p. (2011; Zbl 1267.76017) Full Text: DOI OpenURL
Wang, Yu-Zhu; Wang, Yin-Xia Blow-up criterion for two-dimensional magneto-micropolar fluid equations with partial viscosity. (English) Zbl 1256.35093 Math. Methods Appl. Sci. 34, No. 17, 2125-2135 (2011). MSC: 35Q35 76D03 76A05 76W05 35B44 35B65 PDF BibTeX XML Cite \textit{Y.-Z. Wang} and \textit{Y.-X. Wang}, Math. Methods Appl. Sci. 34, No. 17, 2125--2135 (2011; Zbl 1256.35093) Full Text: DOI OpenURL
Zhang, Zujin; Yao, Zheng-An; Wang, Xiaofeng A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces. (English) Zbl 1209.35105 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2220-2225 (2011). MSC: 35Q35 76W05 35B65 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2220--2225 (2011; Zbl 1209.35105) Full Text: DOI OpenURL
Yuan, Baoquan Regularity of weak solutions to magneto-micropolar fluid equations. (English) Zbl 1240.35421 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 5, 1469-1480 (2010). MSC: 35Q35 35B65 35D30 35B44 76W05 PDF BibTeX XML Cite \textit{B. Yuan}, Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 5, 1469--1480 (2010; Zbl 1240.35421) Full Text: DOI OpenURL
Gala, Sadek Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space. (English) Zbl 1191.35214 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 2, 181-194 (2010). Reviewer: András Ádám (Budapest) MSC: 35Q35 76W05 35B65 PDF BibTeX XML Cite \textit{S. Gala}, NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 2, 181--194 (2010; Zbl 1191.35214) Full Text: DOI OpenURL
Matsuura, Kei Long time behavior of solutions for a nonlinear evolution equation. (English) Zbl 1224.35042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1199-e1206 (2005). MSC: 35B41 35Q35 37N10 PDF BibTeX XML Cite \textit{K. Matsuura}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e1199--e1206 (2005; Zbl 1224.35042) Full Text: DOI OpenURL
Matsuura, Kei Exponential attractors for 2D magneto-micropolar fluid flow in a bounded domain. (English) Zbl 1162.35327 Discrete Contin. Dyn. Syst. 2005, Suppl., 634-641 (2005). MSC: 35B41 35B40 35Q35 76W05 PDF BibTeX XML Cite \textit{K. Matsuura}, Discrete Contin. Dyn. Syst. 2005, 634--641 (2005; Zbl 1162.35327) OpenURL
Yamaguchi, Norikazu Existence of global strong solution to the micropolar fluid system in a bounded domain. (English) Zbl 1078.35096 Math. Methods Appl. Sci. 28, No. 13, 1507-1526 (2005). MSC: 35Q35 76D03 76A05 76W05 PDF BibTeX XML Cite \textit{N. Yamaguchi}, Math. Methods Appl. Sci. 28, No. 13, 1507--1526 (2005; Zbl 1078.35096) Full Text: DOI OpenURL
Durán, M.; Ferreira, J.; Rojas-Medar, M. A. Reproductive weak solutions of magneto-micropolar fluid equations in exterior domains. (English) Zbl 1001.76119 Math. Comput. Modelling 35, No. 7-8, 779-791 (2002). MSC: 76W05 76D03 35Q35 35Q60 PDF BibTeX XML Cite \textit{M. Durán} et al., Math. Comput. Modelling 35, No. 7--8, 779--791 (2002; Zbl 1001.76119) Full Text: DOI OpenURL
Ortega-Torres, Elva E.; Rojas-Medar, Marko A. Magneto-micropolar fluid motion: Global existence of strong solutions. (English) Zbl 0976.35055 Abstr. Appl. Anal. 4, No. 2, 109-125 (1999). MSC: 35Q35 76W05 76M30 PDF BibTeX XML Cite \textit{E. E. Ortega-Torres} and \textit{M. A. Rojas-Medar}, Abstr. Appl. Anal. 4, No. 2, 109--125 (1999; Zbl 0976.35055) Full Text: DOI EuDML Link OpenURL
Rojas-Medar, Marko A.; Boldrini, José Luiz Magneto-micropolar fluid motion: Existence of weak solutions. (English) Zbl 0918.35114 Rev. Mat. Complut. 11, No. 2, 443-460 (1998). MSC: 35Q35 76W05 35D05 PDF BibTeX XML Cite \textit{M. A. Rojas-Medar} and \textit{J. L. Boldrini}, Rev. Mat. Complut. 11, No. 2, 443--460 (1998; Zbl 0918.35114) Full Text: DOI EuDML OpenURL
Ortega-Torres, Elva; Rojas-Medar, Marko The initial value problem for the equations of magneto-micropolar fluid in a time-dependent domain. (English) Zbl 0914.35101 Mat. Contemp. 15, 259-281 (1998). MSC: 35Q35 76W05 35D05 PDF BibTeX XML Cite \textit{E. Ortega-Torres} and \textit{M. Rojas-Medar}, Mat. Contemp. 15, 259--281 (1998; Zbl 0914.35101) OpenURL