Liu, Qiao Remark on regularity criterion via pressure in anisotropic Lebesgue spaces to the 3d Navier-Stokes equations. (English) Zbl 1518.35532 Acta Appl. Math. 185, Paper No. 4, 8 p. (2023). MSC: 35Q30 35Q35 35B65 35D30 35A01 35A02 PDF BibTeX XML Cite \textit{Q. Liu}, Acta Appl. Math. 185, Paper No. 4, 8 p. (2023; Zbl 1518.35532) Full Text: DOI
Kang, Kyungkeun; Lai, Baishun; Lai, Chen-Chih; Tsai, Tai-Peng Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space. (English) Zbl 1497.35344 Trans. Am. Math. Soc. 375, No. 9, 6701-6746 (2022). MSC: 35Q30 76D03 76D05 76D07 35B44 PDF BibTeX XML Cite \textit{K. Kang} et al., Trans. Am. Math. Soc. 375, No. 9, 6701--6746 (2022; Zbl 1497.35344) Full Text: DOI arXiv
Kim, Jae-Myoung On regularity criteria via pressure for the 3D MHD equations in a half space. (English) Zbl 1504.35335 Adv. Math. Phys. 2022, Article ID 6954802, 7 p. (2022). MSC: 35Q35 76W05 35B65 35D30 PDF BibTeX XML Cite \textit{J.-M. Kim}, Adv. Math. Phys. 2022, Article ID 6954802, 7 p. (2022; Zbl 1504.35335) Full Text: DOI
Beirão Da Veiga, Hugo; Yang, Jiaqi On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces. II: The non-slip boundary value problem. (English) Zbl 1487.35281 Chin. Ann. Math., Ser. B 43, No. 1, 51-58 (2022). MSC: 35Q30 76D03 76D05 35B65 46E30 PDF BibTeX XML Cite \textit{H. Beirão Da Veiga} and \textit{J. Yang}, Chin. Ann. Math., Ser. B 43, No. 1, 51--58 (2022; Zbl 1487.35281) Full Text: DOI
Zeng, Yong Note on energy equality of MHD system. (English) Zbl 1479.35703 Z. Angew. Math. Phys. 73, No. 1, Paper No. 21, 11 p. (2022). MSC: 35Q35 35D30 35B65 76W05 76D05 PDF BibTeX XML Cite \textit{Y. Zeng}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 21, 11 p. (2022; Zbl 1479.35703) Full Text: DOI
Jiu, Quansen; Wang, Yanqing; Ye, Yulin Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature. (English) Zbl 1470.35078 J. Evol. Equ. 21, No. 2, 1895-1916 (2021). MSC: 35B44 35B65 35D35 35Q30 76D05 PDF BibTeX XML Cite \textit{Q. Jiu} et al., J. Evol. Equ. 21, No. 2, 1895--1916 (2021; Zbl 1470.35078) Full Text: DOI arXiv
Beirão da Veiga, Hugo; Yang, Jiaqi On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces. (English) Zbl 1464.35169 Chin. Ann. Math., Ser. B 42, No. 1, 1-16 (2021). MSC: 35Q30 76D03 76D05 35B65 35D30 46E30 PDF BibTeX XML Cite \textit{H. Beirão da Veiga} and \textit{J. Yang}, Chin. Ann. Math., Ser. B 42, No. 1, 1--16 (2021; Zbl 1464.35169) Full Text: DOI arXiv
Liu, Qiao A note on blow-up criterion of the 3d magnetic Bénard equations. (English) Zbl 1437.35108 Appl. Math. Lett. 104, Article ID 106255, 6 p. (2020). MSC: 35B44 35Q35 76W05 PDF BibTeX XML Cite \textit{Q. Liu}, Appl. Math. Lett. 104, Article ID 106255, 6 p. (2020; Zbl 1437.35108) Full Text: DOI
Liu, Qiao On regularity for the 3D MHD equations via one directional derivative of the pressure. (English) Zbl 1477.35171 Bull. Braz. Math. Soc. (N.S.) 51, No. 1, 157-167 (2020). Reviewer: Cheng He (Beijing) MSC: 35Q35 76W05 35B65 35B45 PDF BibTeX XML Cite \textit{Q. Liu}, Bull. Braz. Math. Soc. (N.S.) 51, No. 1, 157--167 (2020; Zbl 1477.35171) Full Text: DOI
Ji, Xiang; Wang, Yanqing; Wei, Wei New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations. (English) Zbl 1433.76033 J. Math. Fluid Mech. 22, No. 1, Paper No. 13, 8 p. (2020). MSC: 76D03 76D05 35B33 35Q35 PDF BibTeX XML Cite \textit{X. Ji} et al., J. Math. Fluid Mech. 22, No. 1, Paper No. 13, 8 p. (2020; Zbl 1433.76033) Full Text: DOI arXiv
Zhang, Zujin; Wu, Chupeng; Zhou, Yong On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system. (English) Zbl 1513.35100 Czech. Math. J. 69, No. 4, 1165-1175 (2019). MSC: 35B65 35Q30 76D03 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Czech. Math. J. 69, No. 4, 1165--1175 (2019; Zbl 1513.35100) Full Text: DOI
Liu, Qiao Regularity criterion for the 3D micropolar fluid equations in terms of pressure. (English) Zbl 1416.35059 Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1305-1317 (2019). MSC: 35B65 35Q35 76W05 35Q30 35D30 PDF BibTeX XML Cite \textit{Q. Liu}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1305--1317 (2019; Zbl 1416.35059) Full Text: DOI
Beirão da Veiga, H. On the truth, and limits, of a full equivalence \(p \cong v^2\) in the regularity theory of the Navier-Stokes equations: A point of view. (English) Zbl 1442.76037 J. Math. Fluid Mech. 20, No. 3, 889-898 (2018). MSC: 76D05 76D03 PDF BibTeX XML Cite \textit{H. Beirão da Veiga}, J. Math. Fluid Mech. 20, No. 3, 889--898 (2018; Zbl 1442.76037) Full Text: DOI
Liu, Qiao A logarithmical blow-up criterion for the 3D nematic liquid crystal flows. (English) Zbl 1387.76007 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 29-47 (2018). MSC: 76A15 35B44 35B65 35Q35 PDF BibTeX XML Cite \textit{Q. Liu}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 29--47 (2018; Zbl 1387.76007) Full Text: DOI
Liu, Qiao; Wang, Pei The 3D nematic liquid crystal equations with blow-up criteria in terms of pressure. (English) Zbl 1382.35230 Nonlinear Anal., Real World Appl. 40, 290-306 (2018). MSC: 35Q35 76A15 35B65 35B44 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{P. Wang}, Nonlinear Anal., Real World Appl. 40, 290--306 (2018; Zbl 1382.35230) Full Text: DOI
Liu, Qiao; Dai, Guowei On the 3D Navier-Stokes equations with regularity in pressure. (English) Zbl 1378.35222 J. Math. Anal. Appl. 458, No. 1, 497-507 (2018). MSC: 35Q30 35B65 76D05 35D30 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{G. Dai}, J. Math. Anal. Appl. 458, No. 1, 497--507 (2018; Zbl 1378.35222) Full Text: DOI
Tran, Chuong V.; Yu, Xinwei Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations. (English) Zbl 1355.76017 J. Math. Phys. 58, No. 1, 011501, 10 p. (2017). MSC: 76D03 76D05 35Q30 PDF BibTeX XML Cite \textit{C. V. Tran} and \textit{X. Yu}, J. Math. Phys. 58, No. 1, 011501, 10 p. (2017; Zbl 1355.76017) Full Text: DOI Link
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
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 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{S. Li}, J. Math. Anal. Appl. 443, No. 2, 1267--1292 (2016; Zbl 1362.35067) Full Text: DOI
Zhang, Zujin Navier-Stokes equations with regularity in one directional derivative of the pressure. (English) Zbl 1335.35210 Math. Methods Appl. Sci. 38, No. 17, 4019-4023 (2015). MSC: 35Q35 35B65 76D03 35B45 76D05 PDF BibTeX XML Cite \textit{Z. Zhang}, Math. Methods Appl. Sci. 38, No. 17, 4019--4023 (2015; Zbl 1335.35210) Full Text: DOI
Wang, Ke-chuang A remark on regularity criterion for the Navier-Stokes equations in a bounded domain of \(\mathbb R^N\). (English) Zbl 1381.35123 Math. Phys. Anal. Geom. 18, No. 1, Article ID 5, 8 p. (2015). MSC: 35Q30 35B45 35B65 76D05 PDF BibTeX XML Cite \textit{K.-c. Wang}, Math. Phys. Anal. Geom. 18, No. 1, Article ID 5, 8 p. (2015; Zbl 1381.35123) Full Text: DOI
Zhu, Mingxuan; Ye, Xia A new regularity criterion for the Navier-Stokes equations via partial components of the fractional derivative. (English) Zbl 1333.35219 Appl. Math. Lett. 50, 43-47 (2015). MSC: 35Q35 35B65 26A33 76D05 PDF BibTeX XML Cite \textit{M. Zhu} and \textit{X. Ye}, Appl. Math. Lett. 50, 43--47 (2015; Zbl 1333.35219) Full Text: DOI
Dai, Zhaohui; Wang, Xiaosong; Zhang, Lingrui; Hou, Wei Blow-up criterion of weak solutions for the 3D Boussinesq equations. (English) Zbl 1329.35073 J. Funct. Spaces 2015, Article ID 303025, 6 p. (2015). MSC: 35B44 35Q35 PDF BibTeX XML Cite \textit{Z. Dai} et al., J. Funct. Spaces 2015, Article ID 303025, 6 p. (2015; Zbl 1329.35073) Full Text: DOI
Kim, Namkwon; Kwak, Minkyu; Yoo, Minha Regularity conditions of 3D Navier-Stokes flow in terms of large spectral components. (English) Zbl 1309.35055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 75-84 (2015). MSC: 35Q30 35B65 35P30 PDF BibTeX XML Cite \textit{N. Kim} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 75--84 (2015; Zbl 1309.35055) Full Text: DOI arXiv
Zhang, Zujin; Li, Peng; Zhong, Dingxing Navier-Stokes equations with regularity in two entries of the velocity gradient tensor. (English) Zbl 1364.35246 Appl. Math. Comput. 228, 546-551 (2014). MSC: 35Q30 35B65 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Appl. Math. Comput. 228, 546--551 (2014; Zbl 1364.35246) Full Text: DOI
Chen, Wenying A note on regularity criterion for the Navier-Stokes equations in terms of the pressure. (English) Zbl 1338.35326 Appl. Math. Comput. 248, 1-3 (2014). MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{W. Chen}, Appl. Math. Comput. 248, 1--3 (2014; Zbl 1338.35326) Full Text: DOI
Zhang, Zujin MHD equations with regularity in one direction. (English) Zbl 1311.35239 Int. J. Partial Differ. Equ. 2014, Article ID 213083, 5 p. (2014). MSC: 35Q35 76W05 35B65 PDF BibTeX XML Cite \textit{Z. Zhang}, Int. J. Partial Differ. Equ. 2014, Article ID 213083, 5 p. (2014; Zbl 1311.35239) Full Text: DOI
Zhang, Zujin; Zhong, Dingxing; Hu, Lin A new regularity criterion for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor. (English) Zbl 1285.35068 Acta Appl. Math. 129, No. 1, 175-181 (2014). MSC: 35Q30 76D03 76D05 35D30 35D35 35B65 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Acta Appl. Math. 129, No. 1, 175--181 (2014; Zbl 1285.35068) Full Text: DOI
Gala, Sadek Remarks on regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure. (English) Zbl 1284.35313 Appl. Anal. 92, No. 1, 96-103 (2013). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 35B65 76D05 35D30 PDF BibTeX XML Cite \textit{S. Gala}, Appl. Anal. 92, No. 1, 96--103 (2013; Zbl 1284.35313) Full Text: DOI
Guo, Zhengguang; Wittwer, Peter; Wang, Weiming Regularity issue of the Navier-Stokes equations involving the combination of pressure and velocity field. (English) Zbl 1280.35091 Acta Appl. Math. 123, No. 1, 99-112 (2013). MSC: 35Q30 35B45 35B65 76D05 PDF BibTeX XML Cite \textit{Z. Guo} et al., Acta Appl. Math. 123, No. 1, 99--112 (2013; Zbl 1280.35091) Full Text: DOI
Zhang, Zujin; Yao, Zheng-an; Li, Peng; Guo, Congchong; Lu, Ming Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor. (English) Zbl 1257.35146 Acta Appl. Math. 123, No. 1, 43-52 (2013). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Acta Appl. Math. 123, No. 1, 43--52 (2013; Zbl 1257.35146) 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 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
Han, Pigong Interior regularity of weak solutions to the perturbed Navier-Stokes equations. (English) Zbl 1265.35246 Appl. Math., Praha 57, No. 5, 427-444 (2012). Reviewer: Jiří Neústupa (Praha) MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{P. Han}, Appl. Math., Praha 57, No. 5, 427--444 (2012; Zbl 1265.35246) Full Text: DOI Link
Wang, Yu-Zhu; Yuan, Hecai A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations. (English) Zbl 1254.76049 Nonlinear Anal., Real World Appl. 13, No. 4, 1904-1912 (2012). MSC: 76D03 35B44 76S05 35Q35 PDF BibTeX XML Cite \textit{Y.-Z. Wang} and \textit{H. Yuan}, Nonlinear Anal., Real World Appl. 13, No. 4, 1904--1912 (2012; Zbl 1254.76049) Full Text: DOI
Guo, Zhengguang; Gala, Sadek A regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field. (English) Zbl 1256.35057 Anal. Appl., Singap. 10, No. 4, 373-380 (2012). MSC: 35Q30 35B65 76D05 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{S. Gala}, Anal. Appl., Singap. 10, No. 4, 373--380 (2012; Zbl 1256.35057) 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 PDF BibTeX XML Cite \textit{C. Guo} et al., Appl. Math. Comput. 218, No. 21, 10755--10758 (2012; Zbl 1248.35159) Full Text: DOI
Wei, Zhiqiang; Wang, Yu-Zhu; Wang, Yin-Xia Logarithmically improved regularity criteria for the Navier-Stokes equations in Lorentz spaces. (English) Zbl 1245.76022 Appl. Math. Comput. 218, No. 19, 9848-9852 (2012). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{Z. Wei} et al., Appl. Math. Comput. 218, No. 19, 9848--9852 (2012; Zbl 1245.76022) Full Text: DOI
Zhu, Xiang’ou A regularity criterion for the Navier-Stokes equations in the multiplier spaces. (English) Zbl 1242.35188 Abstr. Appl. Anal. 2012, Article ID 682436, 7 p. (2012). MSC: 35Q30 PDF BibTeX XML Cite \textit{X. Zhu}, Abstr. Appl. Anal. 2012, Article ID 682436, 7 p. (2012; Zbl 1242.35188) Full Text: DOI
Guo, Zhengguang; Gala, Sadek A note on the regularity criteria for the Navier-Stokes equations. (English) Zbl 1239.35124 Appl. Math. Lett. 25, No. 3, 305-309 (2012). MSC: 35Q35 35B65 35D30 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{S. Gala}, Appl. Math. Lett. 25, No. 3, 305--309 (2012; Zbl 1239.35124) Full Text: DOI
Wang, Yu-Zhu; Zhao, Hengjun; Wang, Yin-Xia A logarithmally improved blow-up criterion of smooth solutions for the three-dimensional MHD equations. (English) Zbl 1234.35203 Int. J. Math. 23, No. 2, Article ID 1250027, 12 p. (2012). MSC: 35Q35 76D03 35B44 76W05 35B65 PDF BibTeX XML Cite \textit{Y.-Z. Wang} et al., Int. J. Math. 23, No. 2, Article ID 1250027, 12 p. (2012; Zbl 1234.35203) Full Text: DOI
Jiang, Zaihong; Zhu, Mingxuan The large time behavior of solutions to 3D Navier-Stokes equations with nonlinear damping. (English) Zbl 1235.74014 Math. Methods Appl. Sci. 35, No. 1, 97-102 (2012). MSC: 74D05 35Q74 35L70 35B40 PDF BibTeX XML Cite \textit{Z. Jiang} and \textit{M. Zhu}, Math. Methods Appl. Sci. 35, No. 1, 97--102 (2012; Zbl 1235.74014) Full Text: DOI
Guo, Zhengguang; Gala, Sadek Remarks on logarithmical regularity criteria for the Navier-Stokes equations. (English) Zbl 1317.35174 J. Math. Phys. 52, No. 6, 063503, 9 p. (2011). MSC: 35Q30 35B65 30H25 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{S. Gala}, J. Math. Phys. 52, No. 6, 063503, 9 p. (2011; Zbl 1317.35174) Full Text: DOI
Zhang, Zujin; Yao, Zheng-an; Lu, Ming; Ni, Lidiao Some Serrin-type regularity criteria for weak solutions to the Navier-Stokes equations. (English) Zbl 1317.35180 J. Math. Phys. 52, No. 5, 053103, 7 p. (2011). MSC: 35Q30 76D05 35B65 35D30 76D17 PDF BibTeX XML Cite \textit{Z. Zhang} et al., J. Math. Phys. 52, No. 5, 053103, 7 p. (2011; Zbl 1317.35180) Full Text: DOI
Luo, Lan; Zhao, Yong-Ye; Yang, Qing Regularity criteria for the three-dimensional MHD equations. (English) Zbl 1260.35121 Acta Math. Appl. Sin., Engl. Ser. 27, No. 4, 581-594 (2011). MSC: 35Q30 76W05 35B65 PDF BibTeX XML Cite \textit{L. Luo} et al., Acta Math. Appl. Sin., Engl. Ser. 27, No. 4, 581--594 (2011; Zbl 1260.35121) Full Text: DOI
Chen, Xiaochun; Gala, Sadek On the regularity criteria for the generalized viscous MHD equations. (English) Zbl 1241.35154 Asian-Eur. J. Math. 4, No. 3, 403-411 (2011). MSC: 35Q35 35R11 76D03 76W05 35B65 PDF BibTeX XML Cite \textit{X. Chen} and \textit{S. Gala}, Asian-Eur. J. Math. 4, No. 3, 403--411 (2011; Zbl 1241.35154) Full Text: DOI
He, Xiaowei; Gala, Sadek Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the pressure in the class. (English) Zbl 1231.35146 Nonlinear Anal., Real World Appl. 12, No. 6, 3602-3607 (2011). MSC: 35Q30 76D05 35B65 35D30 PDF BibTeX XML Cite \textit{X. He} and \textit{S. Gala}, Nonlinear Anal., Real World Appl. 12, No. 6, 3602--3607 (2011; Zbl 1231.35146) Full Text: DOI
Wang, Yu-Zhu; Chen, Zigao Regularity criterion for weak solution to the 3D micropolar fluid equations. (English) Zbl 1228.35184 J. Appl. Math. 2011, Article ID 456547, 12 p. (2011). MSC: 35Q35 76A05 35D30 PDF BibTeX XML Cite \textit{Y.-Z. Wang} and \textit{Z. Chen}, J. Appl. Math. 2011, Article ID 456547, 12 p. (2011; Zbl 1228.35184) Full Text: DOI
Duan, Huiling; Fan, Jishan; Zhou, Yong Regularity criteria for the rational large eddy simulation model. (English) Zbl 1228.35169 Hiroshima Math. J. 41, No. 2, 167-177 (2011). MSC: 35Q30 76F65 76D05 PDF BibTeX XML Cite \textit{H. Duan} et al., Hiroshima Math. J. 41, No. 2, 167--177 (2011; Zbl 1228.35169) Full Text: Euclid
Gala, Sadek Remark on a regularity criterion in terms of pressure for the Navier-Stokes equations. (English) Zbl 1214.35043 Q. Appl. Math. 69, No. 1, 147-155 (2011). MSC: 35Q30 76D05 76D03 35B65 PDF BibTeX XML Cite \textit{S. Gala}, Q. Appl. Math. 69, No. 1, 147--155 (2011; Zbl 1214.35043) Full Text: DOI Link
Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min Pressure regularity criteria of the three-dimensional micropolar fluid flows. (English) Zbl 1219.35189 Math. Methods Appl. Sci. 34, No. 5, 595-606 (2011). Reviewer: Cheng He (Beijing) MSC: 35Q35 76D03 35B65 76W05 PDF BibTeX XML Cite \textit{B.-Q. Dong} et al., Math. Methods Appl. Sci. 34, No. 5, 595--606 (2011; Zbl 1219.35189) Full Text: DOI
Zhou, Yong; Gala, Sadek Regularity criteria in terms of the pressure for the Navier-Stokes equations in the critical Morrey-Campanato space. (English) Zbl 1210.35182 Z. Anal. Anwend. 30, No. 1, 83-93 (2011). MSC: 35Q30 35B65 76D05 76D03 76W05 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{S. Gala}, Z. Anal. Anwend. 30, No. 1, 83--93 (2011; Zbl 1210.35182) Full Text: DOI
Yuan, Baoquan On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space. (English) Zbl 1191.35217 Proc. Am. Math. Soc. 138, No. 6, 2025-2036 (2010). MSC: 35Q35 76D03 35B44 76W05 PDF BibTeX XML Cite \textit{B. Yuan}, Proc. Am. Math. Soc. 138, No. 6, 2025--2036 (2010; Zbl 1191.35217) Full Text: DOI arXiv
Cao, Chongsheng; Wu, Jiahong Two regularity criteria for the 3D MHD equations. (English) Zbl 1190.35046 J. Differ. Equations 248, No. 9, 2263-2274 (2010). MSC: 35B65 35B45 76W05 PDF BibTeX XML Cite \textit{C. Cao} and \textit{J. Wu}, J. Differ. Equations 248, No. 9, 2263--2274 (2010; Zbl 1190.35046) Full Text: DOI arXiv
Núñez, Manuel Regularity criteria for the Navier-Stokes equations involving the ratio pressure-gradient of velocity. (English) Zbl 1183.35221 Math. Methods Appl. Sci. 33, No. 3, 323-331 (2010). MSC: 35Q30 35B65 76D03 76D05 PDF BibTeX XML Cite \textit{M. Núñez}, Math. Methods Appl. Sci. 33, No. 3, 323--331 (2010; Zbl 1183.35221) Full Text: DOI
Zhou, Yong; Pokorný, Milan On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component. (English) Zbl 1373.35226 J. Math. Phys. 50, No. 12, 123514, 11 p. (2009). MSC: 35Q30 76D05 35B65 76D03 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{M. Pokorný}, J. Math. Phys. 50, No. 12, 123514, 11 p. (2009; Zbl 1373.35226) Full Text: DOI
Benbernou, Samia A note on the regularity criterion in terms of pressure for the Navier-Stokes equations. (English) Zbl 1182.35179 Appl. Math. Lett. 22, No. 9, 1438-1443 (2009). MSC: 35Q30 76D05 76D03 35B45 PDF BibTeX XML Cite \textit{S. Benbernou}, Appl. Math. Lett. 22, No. 9, 1438--1443 (2009; Zbl 1182.35179) Full Text: DOI
Zhou, Yong; Gala, Sadek Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces. (English) Zbl 1172.35063 J. Math. Anal. Appl. 356, No. 2, 498-501 (2009). MSC: 35Q40 35B65 35B45 76D05 76D03 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{S. Gala}, J. Math. Anal. Appl. 356, No. 2, 498--501 (2009; Zbl 1172.35063) Full Text: DOI
Mucha, Piotr Bogusław Stability of 2D incompressible flows in \(\mathbb R^3\). (English) Zbl 1151.35412 J. Differ. Equations 245, No. 9, 2355-2367 (2008). MSC: 35Q30 35B35 76D05 76D03 PDF BibTeX XML Cite \textit{P. B. Mucha}, J. Differ. Equations 245, No. 9, 2355--2367 (2008; Zbl 1151.35412) Full Text: DOI arXiv
Fan, Jishan; Jiang, Song; Ni, Guoxi On regularity criteria for the \(n\)-dimensional Navier-Stokes equations in terms of the pressure. (English) Zbl 1143.35081 J. Differ. Equations 244, No. 11, 2963-2979 (2008). MSC: 35Q30 35B65 76D05 76D03 PDF BibTeX XML Cite \textit{J. Fan} et al., J. Differ. Equations 244, No. 11, 2963--2979 (2008; Zbl 1143.35081) Full Text: DOI
Zhou, Yong Regularity criteria for the generalized viscous MHD equations. (English) Zbl 1130.35110 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 3, 491-505 (2007). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 35Q30 35B65 PDF BibTeX XML Cite \textit{Y. Zhou}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 3, 491--505 (2007; Zbl 1130.35110) Full Text: DOI Numdam EuDML
Zhou, Yong On regularity criteria in terms of pressure for the Navier-Stokes equations in \(\mathbb{R} ^3\). (English) Zbl 1075.35044 Proc. Am. Math. Soc. 134, No. 1, 149-156 (2006). MSC: 35Q30 35B65 35B45 76D05 PDF BibTeX XML Cite \textit{Y. Zhou}, Proc. Am. Math. Soc. 134, No. 1, 149--156 (2006; Zbl 1075.35044) Full Text: DOI
Zhou, Yong A new regularity criterion for weak solutions to the Navier-Stokes equations. (English) Zbl 1092.35081 J. Math. Pures Appl., IX. Sér. 84, No. 11, 1496-1514 (2005). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 76D03 76D05 35B45 PDF BibTeX XML Cite \textit{Y. Zhou}, J. Math. Pures Appl. (9) 84, No. 11, 1496--1514 (2005; Zbl 1092.35081) Full Text: DOI
Beirão da Veiga, H. Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray’s problem for periodic flows. (English) Zbl 1108.35132 Arch. Ration. Mech. Anal. 178, No. 3, 301-325 (2005). MSC: 35Q30 35B10 76D03 76D05 PDF BibTeX XML Cite \textit{H. Beirão da Veiga}, Arch. Ration. Mech. Anal. 178, No. 3, 301--325 (2005; Zbl 1108.35132) Full Text: DOI
Zhou, Yong Direction of vorticity and a new regularity criterion for the Navier-Stokes equations. (English) Zbl 1072.35565 ANZIAM J. 46, No. 3, 309-316 (2005). Reviewer: Valeriu Al. Sava (Iaşi) MSC: 35Q30 76D03 35B65 76D05 PDF BibTeX XML Cite \textit{Y. Zhou}, ANZIAM J. 46, No. 3, 309--316 (2005; Zbl 1072.35565) Full Text: DOI