Zhang, Zujin; Zhang, Yali An improved regularity criteria for the MHD system based on two components of the solution. (English) Zbl 07361065 Appl. Math., Praha 66, No. 3, 451-460 (2021). MSC: 35B65 35Q35 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Y. Zhang}, Appl. Math., Praha 66, No. 3, 451--460 (2021; Zbl 07361065) Full Text: DOI
Zhang, Zujin; Zhang, Yali On regularity criteria for the Navier-Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient. (English) Zbl 1467.35245 Z. Angew. Math. Phys. 72, No. 1, Paper No. 24, 13 p. (2021). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35B65 76D03 76D05 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Y. Zhang}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 24, 13 p. (2021; Zbl 1467.35245) Full Text: DOI
Zhang, Zujin; Yuan, Weijun; Zhou, Yong Some remarks on the Navier-Stokes equations with regularity in one direction. (English) Zbl 1524.35106 Appl. Math., Praha 64, No. 3, 301-308 (2019). MSC: 35B65 35Q30 76D03 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Appl. Math., Praha 64, No. 3, 301--308 (2019; Zbl 1524.35106) Full Text: DOI
Zhang, Zujin Several new regularity criteria for the axisymmetric Navier-Stokes equations with swirl. (English) Zbl 1434.35072 Comput. Math. Appl. 76, No. 6, 1420-1426 (2018). MSC: 35Q30 76D05 35B07 35B65 76D17 PDFBibTeX XMLCite \textit{Z. Zhang}, Comput. Math. Appl. 76, No. 6, 1420--1426 (2018; Zbl 1434.35072) Full Text: DOI
Zhang, Zujin; Wu, Chupeng Some new multiplicative Sobolev inequalities with applications to the Navier-Stokes equations. (English) Zbl 1421.35258 Ann. Pol. Math. 121, No. 3, 279-290 (2018). MSC: 35Q30 35B65 76D03 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{C. Wu}, Ann. Pol. Math. 121, No. 3, 279--290 (2018; Zbl 1421.35258) Full Text: DOI
Zhang, Zujin Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces. (English) Zbl 1406.35081 Rocky Mt. J. Math. 48, No. 8, 2785-2795 (2018). MSC: 35B65 35Q30 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Zhang}, Rocky Mt. J. Math. 48, No. 8, 2785--2795 (2018; Zbl 1406.35081) Full Text: DOI Euclid
Zhang, Zujin An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field. (English) Zbl 1393.35152 Bull. Math. Sci. 8, No. 1, 33-47 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 35B65 76D03 PDFBibTeX XMLCite \textit{Z. Zhang}, Bull. Math. Sci. 8, No. 1, 33--47 (2018; Zbl 1393.35152) Full Text: DOI
Ye, Zhuan; Zhang, Zujin A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity. (English) Zbl 1411.35232 Appl. Math. Comput. 301, 70-77 (2017). MSC: 35Q35 35B65 76W05 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{Z. Zhang}, Appl. Math. Comput. 301, 70--77 (2017; Zbl 1411.35232) Full Text: DOI
Zhang, Zujin; Zhong, Dingxing; Huang, Xiantong A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient. (English) Zbl 1369.35045 J. Math. Anal. Appl. 453, No. 2, 1145-1150 (2017). MSC: 35Q30 76D05 35B65 35D30 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Math. Anal. Appl. 453, No. 2, 1145--1150 (2017; Zbl 1369.35045) Full Text: DOI
Zhang, Zujin A logarithmically improved regularity criterion for the 3D MHD system involving the velocity field in homogeneous Besov spaces. (English) Zbl 1356.35072 Ann. Pol. Math. 118, No. 1, 51-57 (2016). MSC: 35B65 35Q35 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Zhang}, Ann. Pol. Math. 118, No. 1, 51--57 (2016; Zbl 1356.35072) Full Text: DOI
Zhang, Zujin; Yang, Xian Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients. (English) Zbl 1339.35254 Ann. Pol. Math. 116, No. 1, 87-99 (2016). MSC: 35Q35 35B65 76D03 76W05 35B44 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{X. Yang}, Ann. Pol. Math. 116, No. 1, 87--99 (2016; Zbl 1339.35254) 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 PDFBibTeX XMLCite \textit{Z. Zhang}, Math. Methods Appl. Sci. 38, No. 17, 4019--4023 (2015; Zbl 1335.35210) Full Text: DOI
Zhang, Zujin; Hong, Pingzhou; Zhong, Dingxing; Qiu, Shulin A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces. (English) Zbl 1329.35098 Arab. J. Math. 4, No. 2, 153-157 (2015). MSC: 35B65 35Q35 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Arab. J. Math. 4, No. 2, 153--157 (2015; Zbl 1329.35098) Full Text: DOI
Zhang, Zujin; Yang, Xian A note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. (English) Zbl 1330.35301 J. Math. Anal. Appl. 432, No. 1, 603-611 (2015). MSC: 35Q30 35B65 76D05 35D30 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{X. Yang}, J. Math. Anal. Appl. 432, No. 1, 603--611 (2015; Zbl 1330.35301) Full Text: DOI
Zhang, Zujin An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component. (English) Zbl 1325.35147 Z. Angew. Math. Phys. 66, No. 4, 1707-1715 (2015). MSC: 35Q30 35B65 76D03 PDFBibTeX XMLCite \textit{Z. Zhang}, Z. Angew. Math. Phys. 66, No. 4, 1707--1715 (2015; Zbl 1325.35147) Full Text: DOI
Zhang, Zujin Remarks on the global regularity criteria for the 3D MHD equations via two components. (English) Zbl 1329.35097 Z. Angew. Math. Phys. 66, No. 3, 977-987 (2015). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B65 35Q35 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Zhang}, Z. Angew. Math. Phys. 66, No. 3, 977--987 (2015; Zbl 1329.35097) Full Text: DOI
Zhang, Zujin; Yang, Xian On the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient. (English) Zbl 1318.35069 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 169-175 (2015). MSC: 35Q30 76D03 35B65 76D05 35D30 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{X. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 169--175 (2015; Zbl 1318.35069) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan; Zhang, Zujin Remark on an improved regularity criterion for the 3D MHD equations. (English) Zbl 1316.35065 Appl. Math. Lett. 42, 41-46 (2015). MSC: 35B65 76W05 PDFBibTeX XMLCite \textit{X. Xu} et al., Appl. Math. Lett. 42, 41--46 (2015; Zbl 1316.35065) Full Text: DOI
Zhang, Zujin Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component. (English) Zbl 1309.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 115, 41-49 (2015). MSC: 35Q35 35B65 76D03 76W05 76D05 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 115, 41--49 (2015; Zbl 1309.35095) Full Text: DOI
Zhang, Zujin Global regularity for the 2D micropolar fluid flows with mixed partial dissipation and angular viscosity. (English) Zbl 1474.35546 Abstr. Appl. Anal. 2014, Article ID 709746, 6 p. (2014). MSC: 35Q35 35B65 76D03 PDFBibTeX XMLCite \textit{Z. Zhang}, Abstr. Appl. Anal. 2014, Article ID 709746, 6 p. (2014; Zbl 1474.35546) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Appl. Math. Comput. 228, 546--551 (2014; Zbl 1364.35246) Full Text: DOI
Zhang, Zujin; Alzahrani, Faris; Hayat, Tasawar; Zhou, Yong Two new regularity criteria for the Navier-Stokes equations via two entries of the velocity Hessian tensor. (English) Zbl 1314.76028 Appl. Math. Lett. 37, 124-130 (2014). MSC: 76D05 76D03 35Q30 35B65 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Appl. Math. Lett. 37, 124--130 (2014; Zbl 1314.76028) Full Text: DOI arXiv
Zhang, Zujin A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component. (English) Zbl 1308.35183 J. Math. Anal. Appl. 414, No. 1, 472-479 (2014). MSC: 35Q30 35B65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 414, No. 1, 472--479 (2014; Zbl 1308.35183) 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 PDFBibTeX XMLCite \textit{Z. Zhang}, Int. J. Partial Differ. Equ. 2014, Article ID 213083, 5 p. (2014; Zbl 1311.35239) Full Text: DOI
Zhang, Zujin; Tang, Tong; Liu, Lihan An Osgood type regularity criterion for the liquid crystal flows. (English) Zbl 1301.35118 NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 2, 253-262 (2014). MSC: 35Q35 76B03 76A15 35B65 PDFBibTeX XMLCite \textit{Z. Zhang} et al., NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 2, 253--262 (2014; Zbl 1301.35118) 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 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Acta Appl. Math. 129, No. 1, 175--181 (2014; Zbl 1285.35068) Full Text: DOI
Zhang, Zujin; Ouyang, Xiqin; Zhong, Dingxing; Qiu, Shulin Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces. (English) Zbl 1298.35160 Bound. Value Probl. 2013, Paper No. 270, 7 p. (2013). MSC: 35Q35 35B65 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Bound. Value Probl. 2013, Paper No. 270, 7 p. (2013; Zbl 1298.35160) 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 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Acta Appl. Math. 123, No. 1, 43--52 (2013; Zbl 1257.35146) 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 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Math. Phys. 52, No. 5, 053103, 7 p. (2011; Zbl 1317.35180) Full Text: DOI