Anguiano, María; Suárez-Grau, Francisco Javier Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain. (English) Zbl 07804861 Z. Angew. Math. Phys. 75, No. 1, Paper No. 28, 26 p. (2024). MSC: 35Q35 76W05 76A20 76M50 35B27 PDFBibTeX XMLCite \textit{M. Anguiano} and \textit{F. J. Suárez-Grau}, Z. Angew. Math. Phys. 75, No. 1, Paper No. 28, 26 p. (2024; Zbl 07804861) Full Text: DOI
Wang, Xuewen; Lei, Keke; Liu, Chenggang; Han, Pigong Existence and time asymptotic profiles of weak solutions to the nonhomogeneous magneto-micropolar equations. (English) Zbl 07815989 Math. Methods Appl. Sci. 46, No. 17, 18044-18074 (2023). MSC: 35Q35 35B40 76W05 PDFBibTeX XMLCite \textit{X. Wang} et al., Math. Methods Appl. Sci. 46, No. 17, 18044--18074 (2023; Zbl 07815989) Full Text: DOI
Li, Ming; He, Jianxia Large time behavior and stability for two-dimensional magneto-micropolar equations with partial dissipation. (English) Zbl 07792193 J. Nonlinear Math. Phys. 30, No. 4, 1567-1600 (2023). MSC: 35Q60 82D40 PDFBibTeX XMLCite \textit{M. Li} and \textit{J. He}, J. Nonlinear Math. Phys. 30, No. 4, 1567--1600 (2023; Zbl 07792193) Full Text: DOI OA License
Qiu, Hua; Xiao, Cuntao; Yao, Zheng-an Local existence for the \(d\)-dimensional magneto-micropolar equations with fractional dissipation in Besov spaces. (English) Zbl 1527.35303 Math. Methods Appl. Sci. 46, No. 8, 9617-9651 (2023). MSC: 35Q35 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{H. Qiu} et al., Math. Methods Appl. Sci. 46, No. 8, 9617--9651 (2023; Zbl 1527.35303) Full Text: DOI
Wu, Wanping; Zhang, Yinghui Non-uniform decay of solutions to the incompressible magneto-micropolar fluids with/without magnetic diffusion and spin viscosity. (English) Zbl 07774836 J. Math. Phys. 64, No. 11, Article ID 111502, 25 p. (2023). MSC: 35Q35 76W05 35B65 35B40 76A05 PDFBibTeX XMLCite \textit{W. Wu} and \textit{Y. Zhang}, J. Math. Phys. 64, No. 11, Article ID 111502, 25 p. (2023; Zbl 07774836) Full Text: DOI
Zhao, Jiefeng Mild ill-posedness for 2D magneto-micropolar fluid equations near a background magnetic field. (English) Zbl 1527.35312 SIAM J. Math. Anal. 55, No. 5, 5967-5992 (2023). MSC: 35Q35 35Q86 35R25 76B03 76W05 76A05 PDFBibTeX XMLCite \textit{J. Zhao}, SIAM J. Math. Anal. 55, No. 5, 5967--5992 (2023; Zbl 1527.35312) Full Text: DOI
Jia, Cuiman; Tan, Zhong; Zhou, Jianfeng Global well-posedness of compressible magneto-micropolar fluid equations. (English) Zbl 1527.35289 J. Geom. Anal. 33, No. 11, Paper No. 358, 34 p. (2023). MSC: 35Q35 76N10 76W05 74A35 35M31 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{C. Jia} et al., J. Geom. Anal. 33, No. 11, Paper No. 358, 34 p. (2023; Zbl 1527.35289) Full Text: DOI arXiv
Wu, Wenbing Global existence and optimal estimation of the Cauchy problem to the 3D fluid equations. (English) Zbl 1519.76009 Appl. Math. Optim. 88, No. 2, Paper No. 38, 27 p. (2023). MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{W. Wu}, Appl. Math. Optim. 88, No. 2, Paper No. 38, 27 p. (2023; Zbl 1519.76009) Full Text: DOI
Li, Ming Stability and large time decay for the three-dimensional magneto-micropolar equations with mixed partial viscosity. (English) Zbl 1515.35216 Z. Angew. Math. Phys. 74, No. 3, Paper No. 110, 39 p. (2023). MSC: 35Q35 76W05 76A05 76E25 35B65 35B35 35A01 PDFBibTeX XMLCite \textit{M. Li}, Z. Angew. Math. Phys. 74, No. 3, Paper No. 110, 39 p. (2023; Zbl 1515.35216) Full Text: DOI
Chu, Yangyang; Xiao, Yuelong Vanishing viscosity limit for the 3D incompressible micropolar equations in a bounded domain. (English) Zbl 1524.35456 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 959-974 (2023). MSC: 35Q35 76D03 76D09 PDFBibTeX XMLCite \textit{Y. Chu} and \textit{Y. Xiao}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 959--974 (2023; Zbl 1524.35456) Full Text: DOI
Kim, Jae-Myoung Decay estimates for a class of non-Newtonian 3D magneto-micropolar fluids. (English) Zbl 07815626 ZAMM, Z. Angew. Math. Mech. 102, No. 10, Article ID e202000218, 11 p. (2022). MSC: 35Q35 76A05 76W05 76U05 35D35 PDFBibTeX XMLCite \textit{J.-M. Kim}, ZAMM, Z. Angew. Math. Mech. 102, No. 10, Article ID e202000218, 11 p. (2022; Zbl 07815626) Full Text: DOI
Yan, Simiao; Chen, Xiaoli Regularity criterion for the 3D magneto-micropolar fluid flows in terms of pressure. (English) Zbl 07800607 J. Nonlinear Evol. Equ. Appl. 2022, 127-142 (2022). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{S. Yan} and \textit{X. Chen}, J. Nonlinear Evol. Equ. Appl. 2022, 127--142 (2022; Zbl 07800607) Full Text: Link
Lu, Cheng; Wang, Yuzhu Global existence and time-decay rates of solutions to 2D magneto-micropolar fluid equations with partial viscosity. (English) Zbl 1499.35333 J. Partial Differ. Equations 35, No. 2, 173-198 (2022). MSC: 35K55 35B40 PDFBibTeX XMLCite \textit{C. Lu} and \textit{Y. Wang}, J. Partial Differ. Equations 35, No. 2, 173--198 (2022; Zbl 1499.35333) Full Text: DOI
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 PDFBibTeX XMLCite \textit{F. W. Cruz} and \textit{M. M. Novais}, Appl. Anal. 101, No. 6, 1963--1970 (2022; Zbl 1487.35284) Full Text: DOI
Li, Ming Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation. (English) Zbl 1490.35334 Z. Angew. Math. Phys. 73, No. 3, Paper No. 100, 20 p. (2022). MSC: 35Q35 76A05 76W05 76U05 35B40 76D03 PDFBibTeX XMLCite \textit{M. Li}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 100, 20 p. (2022; Zbl 1490.35334) Full Text: DOI
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: 35Q35 35A01 35Q30 76B03 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{M. Zhu}, Appl. Math., Praha 67, No. 2, 199--208 (2022; Zbl 07511501) Full Text: DOI
Niche, César J.; Perusato, Cilon F. Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids. (English) Zbl 1507.35195 Z. Angew. Math. Phys. 73, No. 2, Paper No. 48, 20 p. (2022). MSC: 35Q35 76A05 76W05 76U05 35B40 PDFBibTeX XMLCite \textit{C. J. Niche} and \textit{C. F. Perusato}, Z. Angew. Math. Phys. 73, No. 2, Paper No. 48, 20 p. (2022; Zbl 1507.35195) Full Text: DOI arXiv
Béjar-López, Alexis; Cunha, Cleyton; Soler, Juan Two-dimensional incompressible micropolar fluid models with singular initial data. (English) Zbl 1508.35059 Physica D 430, Article ID 133069, 14 p. (2022). MSC: 35Q35 76A05 76T20 76F99 35D30 35B35 35A02 PDFBibTeX XMLCite \textit{A. Béjar-López} et al., Physica D 430, Article ID 133069, 14 p. (2022; Zbl 1508.35059) Full Text: DOI
Chen, Dongxiang; Liu, Qifeng A new blow up criterion for the 3D magneto-micropolar fluid flows without magnetic diffusion. (English) Zbl 1507.35169 Bound. Value Probl. 2021, Paper No. 62, 15 p. (2021). MSC: 35Q35 76A05 76W05 35B65 35D30 PDFBibTeX XMLCite \textit{D. Chen} and \textit{Q. Liu}, Bound. Value Probl. 2021, Paper No. 62, 15 p. (2021; Zbl 1507.35169) Full Text: DOI
Braz e. Silva, P.; Cunha, C.; Rojas-Medar, M. A. The initialization problem for the equations of incompressible asymmetric fluids. (English) Zbl 1481.76089 Appl. Math. Optim. 84, No. 2, 1317-1340 (2021). MSC: 76D55 76A05 35Q35 93C20 PDFBibTeX XMLCite \textit{P. Braz e. Silva} et al., Appl. Math. Optim. 84, No. 2, 1317--1340 (2021; Zbl 1481.76089) Full Text: DOI
Melo, Wilberclay G.; Rocha, Natã F.; Zingano, Paulo R. Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev-Gevrey spaces. (English) Zbl 1473.35451 Asymptotic Anal. 123, No. 1-2, 157-179 (2021). MSC: 35Q35 76A05 76U05 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{W. G. Melo} et al., Asymptotic Anal. 123, No. 1--2, 157--179 (2021; Zbl 1473.35451) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
Lorenz, Jens; Melo, Wilberclay G.; de Souza, Suelen C. P. Regularity criteria for weak solutions of the magneto-micropolar equations. (English) Zbl 1456.76154 Electron. Res. Arch. 29, No. 1, 1625-1639 (2021). MSC: 76W05 35Q35 35Q60 PDFBibTeX XMLCite \textit{J. Lorenz} et al., Electron. Res. Arch. 29, No. 1, 1625--1639 (2021; Zbl 1456.76154) Full Text: DOI
Lin, Xueyun; Zhang, Ting Local well-posedness for 2D incompressible magneto-micropolar boundary layer system. (English) Zbl 1460.76933 Appl. Anal. 100, No. 1, 206-227 (2021). Reviewer: Panagiotis Koumantos (Athína) MSC: 76W05 76A05 76D10 35Q35 PDFBibTeX XMLCite \textit{X. Lin} and \textit{T. Zhang}, Appl. Anal. 100, No. 1, 206--227 (2021; Zbl 1460.76933) Full Text: DOI
Yamazaki, Kazuo Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system. (English) Zbl 1453.76182 Physica D 401, Article ID 132199, 21 p. (2020). MSC: 76M35 76W05 76M30 37A25 PDFBibTeX XMLCite \textit{K. Yamazaki}, Physica D 401, Article ID 132199, 21 p. (2020; Zbl 1453.76182) Full Text: DOI
Guterres, Robert; Melo, Wilberclay G.; Nunes, Juliana; Perusato, Cilon Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces. (English) Zbl 1441.35051 Monatsh. Math. 192, No. 3, 591-613 (2020). MSC: 35B40 35Q30 76D03 76D05 76W05 PDFBibTeX XMLCite \textit{R. Guterres} et al., Monatsh. Math. 192, No. 3, 591--613 (2020; Zbl 1441.35051) Full Text: DOI
Melo, Wilberclay G.; Rocha, Natã Firmino; Zingano, Paulo R. Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces. (English) Zbl 1431.35104 J. Math. Anal. Appl. 482, No. 1, Article ID 123524, 31 p. (2020). MSC: 35Q30 35Q35 76W05 76D05 35B44 76D03 PDFBibTeX XMLCite \textit{W. G. Melo} et al., J. Math. Anal. Appl. 482, No. 1, Article ID 123524, 31 p. (2020; Zbl 1431.35104) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Shang} and \textit{C. Gu}, Appl. Math. Lett. 99, Article ID 105977, 7 p. (2020; Zbl 1430.35199) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Yuan} and \textit{X. Li}, Acta Appl. Math. 163, 207--223 (2019; Zbl 1428.35409) Full Text: DOI
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 PDFBibTeX XMLCite \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
Cruz, Felipe W. Global strong solutions for the incompressible micropolar fluids equations. (English) Zbl 1427.35175 Arch. Math. 113, No. 2, 201-212 (2019). Reviewer: Cheng He (Beijing) MSC: 35Q30 35Q35 76A05 35B65 35D35 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{F. W. Cruz}, Arch. Math. 113, No. 2, 201--212 (2019; Zbl 1427.35175) Full Text: DOI
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 PDFBibTeX XMLCite \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
Yamazaki, Kazuo Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise. (English) Zbl 1416.35222 Stochastic Anal. Appl. 37, No. 3, 412-444 (2019). MSC: 35Q35 37L55 60H15 76W05 76D05 76A05 86A05 86A10 35Q86 PDFBibTeX XMLCite \textit{K. Yamazaki}, Stochastic Anal. Appl. 37, No. 3, 412--444 (2019; Zbl 1416.35222) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Yuan} and \textit{Y. Qiao}, J. Math. Anal. Appl. 474, No. 1, 492--512 (2019; Zbl 1416.35223) Full Text: DOI
Yamazaki, Kazuo Gibbsian dynamics and ergodicity of stochastic micropolar fluid system. (English) Zbl 1411.35231 Appl. Math. Optim. 79, No. 1, 1-40 (2019). MSC: 35Q35 37L55 60H15 PDFBibTeX XMLCite \textit{K. Yamazaki}, Appl. Math. Optim. 79, No. 1, 1--40 (2019; Zbl 1411.35231) Full Text: DOI
Guterres, R. H.; Nunes, J. R.; Perusato, C. F. On the large time decay of global solutions for the micropolar dynamics in \(L^2(\mathbb{R}^n)\). (English) Zbl 1412.35256 Nonlinear Anal., Real World Appl. 45, 789-798 (2019). MSC: 35Q35 76A05 35B40 PDFBibTeX XMLCite \textit{R. H. Guterres} et al., Nonlinear Anal., Real World Appl. 45, 789--798 (2019; Zbl 1412.35256) Full Text: DOI
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng Global existence and decay estimate of solutions to magneto-micropolar fluid equations. (English) Zbl 1457.76202 J. Differ. Equations 266, No. 7, 4137-4169 (2019). MSC: 76W05 76A05 35Q30 35Q60 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Differ. Equations 266, No. 7, 4137--4169 (2019; Zbl 1457.76202) Full Text: DOI
Guterres, R. H.; Melo, W. G.; Nunes, J. R.; Perusato, C. F. On the large time decay of asymmetric flows in homogeneous Sobolev spaces. (English) Zbl 1448.76051 J. Math. Anal. Appl. 471, No. 1-2, 88-101 (2019). MSC: 76D03 35Q35 35B40 PDFBibTeX XMLCite \textit{R. H. Guterres} et al., J. Math. Anal. Appl. 471, No. 1--2, 88--101 (2019; Zbl 1448.76051) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Yuan} and \textit{Y. Qiao}, Comput. Math. Appl. 76, No. 10, 2345--2359 (2018; Zbl 1442.86007) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{M. Zhu}, Comput. Math. Appl. 76, No. 9, 2304--2314 (2018; Zbl 1442.76158) Full Text: DOI
Ma, Liangliang Global existence of three-dimensional incompressible magneto-micropolar system with mixed partial dissipation, magnetic diffusion and angular viscosity. (English) Zbl 1461.76558 Comput. Math. Appl. 75, No. 1, 170-186 (2018). MSC: 76W05 76A05 35Q35 PDFBibTeX XMLCite \textit{L. Ma}, Comput. Math. Appl. 75, No. 1, 170--186 (2018; Zbl 1461.76558) Full Text: DOI
Li, Ming; Shang, Haifeng Large time decay of solutions for the 3D magneto-micropolar equations. (English) Zbl 1404.35050 Nonlinear Anal., Real World Appl. 44, 479-496 (2018). MSC: 35B40 35B65 35Q60 PDFBibTeX XMLCite \textit{M. Li} and \textit{H. Shang}, Nonlinear Anal., Real World Appl. 44, 479--496 (2018; Zbl 1404.35050) Full Text: DOI
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 PDFBibTeX XMLCite \textit{K. Yamazaki}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 913--938 (2018; Zbl 1395.35167) Full Text: DOI
Ma, Liangliang Global existence of smooth solutions for three-dimensional magnetic Bénard system with mixed partial dissipation, magnetic diffusion and thermal diffusivity. (English) Zbl 1390.35277 J. Math. Anal. Appl. 461, No. 2, 1639-1652 (2018). MSC: 35Q35 76R10 76W05 78A30 80A20 35B65 PDFBibTeX XMLCite \textit{L. Ma}, J. Math. Anal. Appl. 461, No. 2, 1639--1652 (2018; Zbl 1390.35277) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{H. Shang}, Appl. Math. Comput. 313, 392--407 (2017; Zbl 1426.35188) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{P. Braz e Silva} et al., Acta Appl. Math. 147, No. 1, 1--17 (2017; Zbl 1369.35052) Full Text: DOI
Wei, Ruiying; Guo, Boling; Li, Yin Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations. (English) Zbl 1377.35216 J. Differ. Equations 263, No. 5, 2457-2480 (2017). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 76N10 76W05 35B65 PDFBibTeX XMLCite \textit{R. Wei} et al., J. Differ. Equations 263, No. 5, 2457--2480 (2017; Zbl 1377.35216) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{K. Wang}, Nonlinear Anal., Real World Appl. 33, 348--362 (2017; Zbl 1352.35126) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{S. Li}, Appl. Math. Comput. 280, 72--85 (2016; Zbl 1410.35131) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Lin} and \textit{S. Li}, Comput. Math. Appl. 72, No. 4, 1066--1075 (2016; Zbl 1359.76338) Full Text: DOI
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 PDFBibTeX XMLCite \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
Liu, Yujun; Li, Shan Global regularity of the \(2 \frac{1}{2} \operatorname{D}\) magneto-micropolar fluid flows with partial magnetic diffusion. (English) Zbl 1362.35067 J. Math. Anal. Appl. 443, No. 2, 1267-1292 (2016). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B65 76W05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{S. Li}, J. Math. Anal. Appl. 443, No. 2, 1267--1292 (2016; Zbl 1362.35067) Full Text: DOI
Boldrini, J. L.; Notte-Cuello, E.; Poblete-Cantellano, M.; Friz, L.; Rojas-Medar, M. A. Pointwise error estimate for spectral Galerkin approximations of micropolar equations. (English) Zbl 1339.35231 Numer. Funct. Anal. Optim. 37, No. 3, 304-323 (2016). MSC: 35Q35 65M12 65M15 76D05 35B45 76W05 76A05 35D35 PDFBibTeX XMLCite \textit{J. L. Boldrini} et al., Numer. Funct. Anal. Optim. 37, No. 3, 304--323 (2016; Zbl 1339.35231) Full Text: DOI
Loayza, Miguel; Rojas-Medar, Marko A. A weak-\(L^{p}\) Prodi-Serrin type regularity criterion for the micropolar fluid equations. (English) Zbl 1342.35223 J. Math. Phys. 57, No. 2, 021512, 6 p. (2016). Reviewer: Pavel Burda (Praha) MSC: 35Q30 76N10 35D30 35D35 35Q35 76D03 PDFBibTeX XMLCite \textit{M. Loayza} and \textit{M. A. Rojas-Medar}, J. Math. Phys. 57, No. 2, 021512, 6 p. (2016; Zbl 1342.35223) Full Text: DOI
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 PDFBibTeX XMLCite \textit{W. G. Melo}, J. Math. Anal. Appl. 435, No. 2, 1194--1209 (2016; Zbl 1334.35248) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Wang}, Bound. Value Probl. 2015, Paper No. 118, 10 p. (2015; Zbl 1381.35008) Full Text: DOI
Nowakowski, Bernard Global existence of strong solutions to micropolar equations in cylindrical domains. (English) Zbl 1309.35090 Math. Methods Appl. Sci. 38, No. 2, 311-329 (2015). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{B. Nowakowski}, Math. Methods Appl. Sci. 38, No. 2, 311--329 (2015; Zbl 1309.35090) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{K. Yamazaki}, Discrete Contin. Dyn. Syst. 35, No. 5, 2193--2207 (2015; Zbl 1308.35232) Full Text: DOI
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 PDFBibTeX XMLCite \textit{K. Yamazaki}, Kinet. Relat. Models 7, No. 4, 779--792 (2014; Zbl 1326.35292) Full Text: DOI
Amirat, Youcef; Hamdache, Kamel Global weak solutions to the equations of thermal convection in micropolar fluids subjected to Hall current. (English) Zbl 1511.35267 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 186-207 (2014). MSC: 35Q35 76A05 76W05 35K05 35D30 35A01 PDFBibTeX XMLCite \textit{Y. Amirat} and \textit{K. Hamdache}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 186--207 (2014; Zbl 1511.35267) Full Text: DOI
Nowakowski, Bernard Long-time behavior of micropolar fluid equations in cylindrical domains. (English) Zbl 1295.35101 Nonlinear Anal., Real World Appl. 14, No. 6, 2166-2179 (2013). MSC: 35B40 35Q35 35B41 PDFBibTeX XMLCite \textit{B. Nowakowski}, Nonlinear Anal., Real World Appl. 14, No. 6, 2166--2179 (2013; Zbl 1295.35101) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{C. Wang}, Bound. Value Probl. 2013, Paper No. 182, 13 p. (2013; Zbl 1296.35151) Full Text: DOI
Zhang, Peixin Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum. (English) Zbl 1291.76269 Bound. Value Probl. 2013, Paper No. 160, 16 p. (2013). MSC: 76N10 35B44 35B45 PDFBibTeX XMLCite \textit{P. Zhang}, Bound. Value Probl. 2013, Paper No. 160, 16 p. (2013; Zbl 1291.76269) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Wang}, Bound. Value Probl. 2013, Paper No. 58, 12 p. (2013; Zbl 1288.35149) Full Text: DOI
Tang, Zhihao; Wang, Gang; Guan, Haiwa A regularity criterion for the magneto-micropolar fluid equations in \(\dot{B}^{-1}_{\infty, \infty}\). (English) Zbl 1264.76128 Discrete Dyn. Nat. Soc. 2013, Article ID 676353, 6 p. (2013). MSC: 76W05 76S05 35Q35 PDFBibTeX XMLCite \textit{Z. Tang} et al., Discrete Dyn. Nat. Soc. 2013, Article ID 676353, 6 p. (2013; Zbl 1264.76128) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Z. Xiang} and \textit{H. Yang}, Bound. Value Probl. 2012, Paper No. 139, 14 p. (2012; Zbl 1280.35118) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Guo} et al., Appl. Math. Comput. 218, No. 21, 10755--10758 (2012; Zbl 1248.35159) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Gala} et al., Math. Methods Appl. Sci. 35, No. 11, 1321--1334 (2012; Zbl 1256.35079) Full Text: DOI
Ortega-Torres, E. E.; Rojas-Medar, M. A.; Cabrales, R. C. A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations. (English) Zbl 1401.76103 Numer. Methods Partial Differ. Equations 28, No. 2, 689-706 (2012). MSC: 76M22 76W05 76A05 65M15 PDFBibTeX XMLCite \textit{E. E. Ortega-Torres} et al., Numer. Methods Partial Differ. Equations 28, No. 2, 689--706 (2012; Zbl 1401.76103) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{Y.-Z. Wang} et al., Bound. Value Probl. 2011, Paper No. 11, 11 p. (2011; Zbl 1267.76017) Full Text: DOI
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 PDFBibTeX XMLCite \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
Wang, Yu-Zhu; Hu, Liping; Wang, Yin-Xia A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity. (English) Zbl 1213.76256 Bound. Value Probl. 2011, Article ID 128614, 14 p. (2011). MSC: 76W05 35Q35 PDFBibTeX XMLCite \textit{Y.-Z. Wang} et al., Bound. Value Probl. 2011, Article ID 128614, 14 p. (2011; Zbl 1213.76256) Full Text: DOI EuDML
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 PDFBibTeX XMLCite \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
Boldrini, J. L.; Durán, M.; Rojas-Medar, M. A. Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of \(\mathbb R^{3}\). (English) Zbl 1205.35218 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 56, No. 1, 37-51 (2010). MSC: 35Q35 76D03 76A05 PDFBibTeX XMLCite \textit{J. L. Boldrini} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 56, No. 1, 37--51 (2010; Zbl 1205.35218) Full Text: DOI
Dong, Bo-Qing; Zhang, Zhifei Global regularity of the 2D micropolar fluid flows with zero angular viscosity. (English) Zbl 1402.35220 J. Differ. Equations 249, No. 1, 200-213 (2010). MSC: 35Q35 76S05 35A01 35A02 35B65 76A05 76D03 PDFBibTeX XMLCite \textit{B.-Q. Dong} and \textit{Z. Zhang}, J. Differ. Equations 249, No. 1, 200--213 (2010; Zbl 1402.35220) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Gala}, NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 2, 181--194 (2010; Zbl 1191.35214) Full Text: DOI
Amirat, Youcef; Hamdache, Kamel Weak solutions to the equations of motion for compressible magnetic fluids. (English) Zbl 1172.35059 J. Math. Pures Appl. (9) 91, No. 5, 433-467 (2009). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 76N10 76W05 76M10 PDFBibTeX XMLCite \textit{Y. Amirat} and \textit{K. Hamdache}, J. Math. Pures Appl. (9) 91, No. 5, 433--467 (2009; Zbl 1172.35059) Full Text: DOI
Ren, Junbai; Ma, Xuan Asymptotic smoothing effect of solutions of two-dimensional micropolar fluid flows. (English) Zbl 1153.76014 Appl. Math. Comput. 204, No. 1, 363-367 (2008). MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{J. Ren} and \textit{X. Ma}, Appl. Math. Comput. 204, No. 1, 363--367 (2008; Zbl 1153.76014) Full Text: DOI
Ferreira, L. C. F.; Villamizar-Roa, E. J. Micropolar fluid system in a space of distributions and large time behavior. (English) Zbl 1122.35109 J. Math. Anal. Appl. 332, No. 2, 1425-1445 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76A05 35B40 47D99 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} and \textit{E. J. Villamizar-Roa}, J. Math. Anal. Appl. 332, No. 2, 1425--1445 (2007; Zbl 1122.35109) Full Text: DOI
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows. (English) Zbl 1098.35035 J. Math. Anal. Appl. 322, No. 2, 512-522 (2006). MSC: 35B41 35Q35 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Math. Anal. Appl. 322, No. 2, 512--522 (2006; Zbl 1098.35035) Full Text: DOI