Li, Qiang; Yuan, Baoquan Two regularity criteria of solutions to the liquid crystal flows. (English) Zbl 1527.35296 Math. Methods Appl. Sci. 46, No. 8, 9167-9176 (2023). MSC: 35Q35 76A15 35B65 PDFBibTeX XMLCite \textit{Q. Li} and \textit{B. Yuan}, Math. Methods Appl. Sci. 46, No. 8, 9167--9176 (2023; Zbl 1527.35296) Full Text: DOI
Gala, Sadek; Ragusa, Maria Alessandra Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. (English) Zbl 1476.35172 SN Partial Differ. Equ. Appl. 2, No. 3, Paper No. 41, 5 p. (2021). MSC: 35Q30 35K15 76D03 PDFBibTeX XMLCite \textit{S. Gala} and \textit{M. A. Ragusa}, SN Partial Differ. Equ. Appl. 2, No. 3, Paper No. 41, 5 p. (2021; Zbl 1476.35172) Full Text: DOI
Kukavica, I.; Ożański, W. S. An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range. (English) Zbl 1490.35253 Appl. Math. Lett. 122, Article ID 107298, 9 p. (2021). MSC: 35Q30 76D05 35B65 35D30 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{W. S. Ożański}, Appl. Math. Lett. 122, Article ID 107298, 9 p. (2021; Zbl 1490.35253) Full Text: DOI arXiv
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; 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
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed On local regularity conditions for the Navier-Stokes equations. (English) Zbl 1416.35188 Nonlinearity 32, No. 6, 1905-1928 (2019). MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Nonlinearity 32, No. 6, 1905--1928 (2019; Zbl 1416.35188) Full Text: DOI
Yamazaki, Kazuo On the Navier-Stokes equations in scaling-invariant spaces in any dimension. (English) Zbl 1410.35144 Rev. Mat. Iberoam. 34, No. 4, 1515-1540 (2018). MSC: 35Q35 35B65 42B25 76D05 35R11 PDFBibTeX XMLCite \textit{K. Yamazaki}, Rev. Mat. Iberoam. 34, No. 4, 1515--1540 (2018; Zbl 1410.35144) Full Text: DOI
Zhang, Zujin; Li, Jinlu; Yao, Zheng-an A remark on the global regularity criterion for the 3D Navier-Stokes equations based on end-point Prodi-Serrin conditions. (English) Zbl 1503.35142 Appl. Math. Lett. 83, 182-187 (2018). MSC: 35Q30 35B65 76D05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Appl. Math. Lett. 83, 182--187 (2018; Zbl 1503.35142) Full Text: DOI
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
Guo, Zhengguang; Kučera, Petr; Skalák, Zdeněk Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components. (English) Zbl 1378.35217 J. Math. Anal. Appl. 458, No. 1, 755-766 (2018). MSC: 35Q30 35B65 30H25 76B99 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Math. Anal. Appl. 458, No. 1, 755--766 (2018; Zbl 1378.35217) Full Text: DOI
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed Localized anisotropic regularity conditions for the Navier-Stokes equations. (English) Zbl 1379.35213 J. Nonlinear Sci. 27, No. 6, 1725-1742 (2017). MSC: 35Q30 35B65 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Nonlinear Sci. 27, No. 6, 1725--1742 (2017; Zbl 1379.35213) Full Text: DOI
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed An anisotropic partial regularity criterion for the Navier-Stokes equations. (English) Zbl 1457.76055 J. Math. Fluid Mech. 19, No. 1, 123-133 (2017). MSC: 76D03 76D05 35D30 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Math. Fluid Mech. 19, No. 1, 123--133 (2017; Zbl 1457.76055) Full Text: DOI arXiv
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
Qian, Chenyin Remarks on the regularity criterion for the nematic liquid crystal flows in \(\mathbb{R}^3\). (English) Zbl 1410.82036 Appl. Math. Comput. 274, 679-689 (2016). MSC: 82D30 PDFBibTeX XMLCite \textit{C. Qian}, Appl. Math. Comput. 274, 679--689 (2016; Zbl 1410.82036) Full Text: DOI
KC, Durga; Yamazaki, Kazuo Regularity results on the Leray-alpha magnetohydrodynamics systems. (English) Zbl 1362.35066 Nonlinear Anal., Real World Appl. 32, 178-197 (2016). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B65 76W05 35Q30 PDFBibTeX XMLCite \textit{D. KC} and \textit{K. Yamazaki}, Nonlinear Anal., Real World Appl. 32, 178--197 (2016; Zbl 1362.35066) Full Text: DOI
Yamazaki, Kazuo Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component. (English) Zbl 1345.35080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 73-83 (2016). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q35 35B65 35Q86 76W05 86A25 PDFBibTeX XMLCite \textit{K. Yamazaki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 73--83 (2016; Zbl 1345.35080) Full Text: DOI arXiv
Ye, Zhuan Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component. (English) Zbl 1333.35166 J. Math. Anal. Appl. 435, No. 2, 1623-1633 (2016). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q30 76D05 35B65 35D30 PDFBibTeX XMLCite \textit{Z. Ye}, J. Math. Anal. Appl. 435, No. 2, 1623--1633 (2016; Zbl 1333.35166) Full Text: DOI
Qian, Chenyin A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component. (English) Zbl 1333.35164 J. Differ. Equations 260, No. 4, 3477-3494 (2016). MSC: 35Q30 76D05 35D30 35B65 PDFBibTeX XMLCite \textit{C. Qian}, J. Differ. Equations 260, No. 4, 3477--3494 (2016; Zbl 1333.35164) 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; 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
Skalák, Zdeněk Criteria for the regularity of the solutions to the Navier-Stokes equations based on the velocity gradient. (English) Zbl 1322.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 118, 1-21 (2015). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{Z. Skalák}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 118, 1--21 (2015; Zbl 1322.35109) 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
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
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
Yamazaki, Kazuo Regularity criteria of MHD system involving one velocity and one current density component. (English) Zbl 1307.35237 J. Math. Fluid Mech. 16, No. 3, 551-570 (2014). MSC: 35Q35 35B65 PDFBibTeX XMLCite \textit{K. Yamazaki}, J. Math. Fluid Mech. 16, No. 3, 551--570 (2014; Zbl 1307.35237) Full Text: DOI
Yamazaki, Kazuo Remarks on the regularity criteria of three-dimensional magnetohydrodynamics system in terms of two velocity field components. (English) Zbl 1286.76172 J. Math. Phys. 55, No. 3, 031505, 16 p. (2014). MSC: 76W05 PDFBibTeX XMLCite \textit{K. Yamazaki}, J. Math. Phys. 55, No. 3, 031505, 16 p. (2014; Zbl 1286.76172) Full Text: DOI Link
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
Fang, Daoyuan; Qian, Chenyin Regularity criterion for 3D Navier-Stokes equations in Besov spaces. (English) Zbl 1284.35309 Commun. Pure Appl. Anal. 13, No. 2, 585-603 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{D. Fang} and \textit{C. Qian}, Commun. Pure Appl. Anal. 13, No. 2, 585--603 (2014; Zbl 1284.35309) Full Text: DOI arXiv
Yamazaki, Kazuo Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems. (English) Zbl 1290.35191 J. Math. Phys. 54, No. 1, 011502, 16 p. (2013). MSC: 35Q30 35B65 76D05 76W05 PDFBibTeX XMLCite \textit{K. Yamazaki}, J. Math. Phys. 54, No. 1, 011502, 16 p. (2013; Zbl 1290.35191) Full Text: DOI arXiv
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