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Zujin Zhang's Publications

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1、 Zhang, Zujin. Regularity criterion for the system modeling the flow of liquid crystals via the direction of velocity. Comm. Appl. Nonlinear Anal. 17 (2010), no. 3, 55--60.


2、 Zhang, Zujin. Remarks on the regularity criteria for generalized MHD equations. J. Math. Anal. Appl. 375 (2011), no. 2, 799--802.


3、 Zhang, Zujin; Wu, Xinglong; Lu, Ming. On the uniqueness of strong solution to the incompressible Navier-Stokes equations with damping. J. Math. Anal. Appl. 377 (2011), no. 1, 414--419.


4、 Zhang, Zujin; Yao, Zheng-an; Wang, Xiaofeng. A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces. Nonlinear Anal. 74 (2011), no. 6, 2220--2225.


5、 Zhang, Zujin; Yao, Zheng-an; Lu, Ming; Ni, Lidiao. Some Serrin-type regularity criteria for weak solutions to the Navier-Stokes equations. J. Math. Phys. 52 (2011), no. 5, 053103, 7 pp.


6、 Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-an. Remarks on regularity criteria for the weak solutions of liquid crystals. J. Evol. Equ. 12 (2012), no. 4, 801--812.


7、 Lu, Ming; Du, Yi; Yao, Zheng-an; Zhang, Zujin. A blow-up criterion for the 3D compressible MHD equations. Commun. Pure Appl. Anal. 11 (2012), no. 3, 1167--1183.


8、 Guo, Congchong; Zhang, Zujin; Wang, Jialin. Regularity criteria for the 3D magneto-micropolar fluid equations in Besov spaces with negative indices. Appl. Math. Comput. 218 (2012), no. 21, 10755--10758.


9、 Zhang, Zujin. A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component. Commun. Pure Appl. Anal. 12 (2013), no. 1, 117--124.


10、 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. Acta Appl. Math. 123 (2013), 43--52.


11、 Zhang, Zujin; Li, Peng; Yu, Gaohang. Regularity criteria for the 3D MHD equations via one directional derivative of the pressure. J. Math. Anal. Appl. 401 (2013), no. 1, 66--71.


12、 Zhang, Zujin; Gala, Sadek. Osgood type regularity criterion for the 3D Newton-Boussinesq equation. Electron. J. Differential Equations 2013, No. 223, 6 pp.


13、 Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-an. On a fractional nonlinear hyperbolic equation arising from relative theory. Abstr. Appl. Anal. 2013, Art. ID 548562, 6 pp.


14、 Zhang, Zujin; Ouyang, Xiqin; Zhong, Dingxing; Qiu, Shulin. Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces. Bound. Value Probl. 2013, 2013:270, 7 pp.


15、 Zhong, Ding Xing; Sun, Hong An; Zhang, Zujin. Hypersurfaces in  with three distinct constant para-Blaschke eigenvalues. (Chinese) Acta Math. Sinica (Chin. Ser.) 56 (2013), no. 5, 751--766.


16、 Li, Peng; Li, Shuai-Jie; Yao, Zheng-An; Zhang, Zujin. Two anisotropic fourth-order partial differential equations for image inpainting. IET Image Process. 7 (2013), no. 3, 260--269.


17、 Zhang, Zujin; Li, Peng; Zhong, Dingxing. Navier-Stokes equations with regularity in two entries of the velocity gradient tensor. Appl. Math. Comput. 228 (2014), 546--551.


18、 Zhang, Zujin; Zhong, Dingxing; Hu, Lin. A new regularity criterion for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor. Acta Appl. Math. 129 (2014), 175--181.


19、 Zhang, Zujin. A remark on the regularity criterion for the 3D Boussinesq equations involving the pressure gradient. Abstr. Appl. Anal. 2014, Art. ID 510924, 4 pp.


20、 Zhang, Zujin. A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component. J. Math. Anal. Appl. 414 (2014), no. 1, 472--479.


21、 Zhang, Zujin; Tang, Tong; Liu, Lihan. An Osgood type regularity criterion for the liquid crystal flows. NoDEA Nonlinear Differential Equations Appl. 21 (2014), no. 2, 253--262.


22、 Zhang, Zujin; Wang, Xiaofeng; Yao, Zheng-an. On the weak solution to a fractional nonlinear Schr"odinger equation. Abstr. Appl. Anal. 2014, Art. ID 569693, 6 pp.


23、 Zhang, Zujin. A logarithmically improved regularity criterion for the 3D Boussinesq equations via the pressure. Acta Appl. Math. 131 (2014), 213--219.


24、 Zhang, Zujin. Global regularity for the 2D micropolar fluid flows with mixed partial dissipation and angular viscosity. Abstr. Appl. Anal. 2014, Art. ID 709746, 6 pp.


25、 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. Appl. Math. Lett. 37 (2014), 124--130.


26、 Zhang, Zujin. An improved regularity criterion for the 3D Navier-Stokes equations in terms of two entries of the velocity gradient. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 34 (2014), no. 5, 1327--1335.


27、 Zhang, Zujin. Some regularity criteria for the 3D Boussinesq equations in the class . ISRN Appl. Math. 2014, Art. ID 564758, 4 pp.


28、 Zhang, Zujin; Tang, Tong; Zhang, Fumin. A remark on the regularity criterion for the MHD equations via two components in Morrey-Campanato spaces. Journal of Difference Equations, 2014, Art. ID 364269, 5 pp.


29、 Zhang, Zujin; Qiu, Shulin; Pan, Jian; Ma, Li. A refined blow up criterion for the nematic liquid crystals. International Journal of Contemporary Mathematical Sciences. 9 (2014), 441--446.


30、 Zhang, Zujin. A smallness regularity criterion for the 3D Navier-Stokes equations in the largest class. Journal of Mathematical and Computational Science. 4 (2014), 587--593.


31、 Zhang, Zujin. Liquid crystal flows with regularity in one direction. J. Partial Differ. Equ. 27 (2014), no. 3, 245--250.


32、 Zhang, Zujin. MHD equations with regularity in one direction. International Journal of Partial Differential Equations. 2014, Art. ID 213083, 6 pp.


33、 Wu, Qiang; Hu, Lin; Zhang, Zujin. Convergence and stability of balanced methods for stochastic delay integro-differential equations. Appl. Math. Comput. 237 (2014), 446--460.


34、 Benbernou, Samia; Terbeche, Mekki; Ragusa, Maria Alessandra; Zhang, Zujin. A note on the regularity criterion for 3D MHD equations in  space. Appl. Math. Comput. 238 (2014), 245--249.


35、 Zhong, Dingxing; Zhang, Zujin; Tao, Lingyang. The hypersurfaces with parallel Lagueree form in . Acta Mathematica Sinica, Chinese Series, 57 (2014), 21--32.


36、 Zhang, Zujin. Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component. Nonlinear Anal. 115 (2015), 41--49.


37、 Zhang, Zujin; Yang, Xian. On the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient. Nonlinear Anal. 122 (2015), 169--175.


38、 Zhang, Zujin. Remarks on the global regularity criteria for the 3D MHD equations via two components. Z. Angew. Math. Phys. 66 (2015), no. 3, 977--987.


39、 Zhang, Zujin. An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component. Z. Angew. Math. Phys. 66 (2015), no. 4, 1707--1715.


40、 Zhang, Zujin; Yang, Xian. A note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. J. Math. Anal. Appl. 432 (2015), no. 1, 603--611.


41、 Zhang, Zujin; Yang, Xian. A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum. Ann. Polon. Math. 115 (2015), no. 2, 165--177.


42、 Zhang, Zujin. Regularity criteria for the 3D magneto-micropolar fluid equations via the direction of the velocity. Proc. Indian Acad. Sci. Math. Sci. 125 (2015), no. 1, 37--43.


43、 Zhang, Zujin. Navier-Stokes equations with regularity in one directional derivative of the pressure. Math. Methods Appl. Sci. 38 (2015), no. 17, 4019--4023.


44、 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. Arab. J. Math. (Springer) 4 (2015), no. 2, 153--157.


45、 Zhang, Zujin; Yang, Xian; Qiu, Shulin. Remarks on Liouville type result for the 3D Hall-MHD system. J. Partial Differ. Equ. 28 (2015), no. 3, 286--290.


46、 Xu, Xiaojing; Ye, Zhuan; Zhang, Zujin. Remark on an improved regularity criterion for the 3D MHD equations. Appl. Math. Lett. 42 (2015), 41--46.


47、 Hu, Lin; Wu, Qiang; Xu Qingcui; Zhang, Zujin; Li, Huacan. Numerical Analysis of Balanced Methods for the Impulsive Stochastic Differential Equations, Journal of Donghua University (English Edition), 32 (2015), no. 4, 626—635.


48、 Tang, Tong; Zhang, Zujin. Blow-Up of Smooth Solution to the Compressible Navier-Stokes-Poisson Equations. Bull. Malays. Math. Sci. Soc. 39 (2016), no. 4, 1487--1497.


49、 Zhang, Zujin; Yang, Xian; Qiu, Shulin. A regularity condition for the density-dependent magnetohydrodynamic equations in BMO space. Proc. Jangjeon Math. Soc. 19 (2016), no. 1, 125--133.


50、 Zhang, Zujin; Ouyang Xiqin; Yang, Xian. Navier-Stokes equations with anisotropic regularity in one velocity component. Proc. Jangjeon Math. Soc. 19 (2016), 465--476.


51、 Zhang, Zujin; Zhong, Dingxing; Gui, Shaohui. Density-dependent magnetohydrodynamic equations with velocity and magnetic fields in Besov spaces of negative order. J. Math. Res. Appl. 36 (2016), no. 6, 682--688.


52、 Zhang, Zujin. Global regularity criteria for the -dimensional Boussinesq equations with fractional dissipation. Electron. J. Differential Equations 2016, Paper No. 99, 5 pp.


53、 Zhang, Zujin; Yang, Xian. Global regularity for the 3D MHD system with damping. Colloq. Math. 145 (2016), no. 1, 107--110.


54、 Zhang, Zujin; Yang, Xian. Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients. Ann. Polon. Math. 116 (2016), no. 1, 87--99.


55、 Zhang, Zujin. Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data. Ann. Polon. Math. 117 (2016), no. 2, 181--196.


56、 Zhang, Zujin. A logarithmically improved regularity criterion for the 3D MHD system involving the velocity field in homogeneous Besov spaces. Ann. Polon. Math. 118 (2016), no. 1, 51--57.


57、 Zhang, Zujin. 3D Density-Dependent Boussinesq Equations with Velocity Field in BMO Spaces. Acta Appl. Math. 142 (2016), 1--8.


58、 Zhang, Zujin; Zhou, Yong. On regularity criteria for the 3D Navier-Stokes equations involving the ratio of the vorticity and the velocity. Comput. Math. Appl. 72 (2016), no. 9, 2311--2314.


59、 Zhang, Zujin. A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces. Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 104, 6 pp.


60、 Zhang, Zujin; Yang, Xian. Navier-Stokes equations with vorticity in Besov spaces of negative regular indices. J. Math. Anal. Appl. 440 (2016), no. 1, 415--419.


61、 Zhang, Zujin. A remark on the blow-up criterion for the 3D Hall-MHD system in Besov spaces. J. Math. Anal. Appl. 441 (2016), no. 2, 692--701.


62、 Zhang, Zujin. On weighted regularity criteria for the axisymmetric Navier-Stokes equations. Appl. Math. Comput. 296 (2017), 18--22.


63、 Ye, Zhuan; Zhang, Zujin. A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity. Appl. Math. Comput. 301 (2017), 70--77.


64、 Zhang, Zujin; Ouyang, Xiqin; Yang, Xian. Refined a priori estimates for the axisymmetric Navier-Stokes equations. J. Appl. Anal. Comput. 7 (2017), no. 2, 554--558.


65、 Zhang, Zujin. Generalized MHD System with Velocity Gradient in Besov Spaces of Negative Order. Acta Appl. Math. 149 (2017), 139--144.


66、 Zhang, Zujin; Zhong, Dingxing; Huang, Xiantong. A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient. J. Math. Anal. Appl. 453 (2017), no. 2, 1145--1150.


67、 Zhang, Zujin; Yao, Zheng-an. 3D axisymmetric MHD system with regularity in the swirl component of the vorticity. Comput. Math. Appl. 73 (2017), no. 12, 2573--2580.


68、 张祖锦, 杨兰萍, 李文鑫. 拓扑学中凝聚点的几个等价定义[J]. 赣南师范大学学报, 2017 , 03 : 6--7.


69、 Zhang, Zujin; Zhong, Dingxing; Gao, Shujing; Qiu, Shulin. Fundamental Serrin type regularity criteria for 3D MHD fluid passing through the porous medium. Filomat 31 (2017), no. 5, 1287--1293.


70、 Zhang, Zujin. Refined regularity criteria for the MHD system involving only two components of the solution. Appl. Anal. 96 (2017), no. 12, 2130--2139.


71、 Gao, Shujing; Xia, Lijun; Wang, Jialin; Zhang, Zujin. Modeling the effects of cross-protection control in plant disease with seasonality. Int. J. Biomath. 10 (2017), no. 6, 1750088, 24 pp.


72、 Zhang, Zujin. Blow-up criterion of strong solutions to the 3D ghost effect system in Besov spaces with negative indices. ZAMM Z. Angew. Math. Mech. 97 (2017), no. 5, 576--585.


73、 Gala, Sadek; Ragusa, Maria Alessandra; Zhang, Zujin. A Regularity Criterion in Terms of Pressure for the 3D Viscous MHD Equations. Bull. Malays. Math. Sci. Soc. 40 (2017), no. 4, 1677--1690.


74、 Zhang, Zujin. A pointwise regularity criterion for axisymmetric Navier-Stokes system. J. Math. Anal. Appl. 461 (2018), no. 1, 1--6.


75、 Zhang, Zujin. On the blow-up criterion for the quasi-geostrophic equations in homogeneous Besov spaces. Comput. Math. Appl. 75 (2018), no. 3, 1038--1043.


76、 Zhang, Zujin. Regularity criteria for the three dimensional Ericksen-Leslie system in homogeneous Besov spaces. Comput. Math. Appl. 75 (2018), no. 3, 1060--1065.


77、 Zhang, Zujin. An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field. Bull. Math. Sci. 8 (2018), no. 1, 33--47.


78、 Zhang, Zujin. Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component. Czechoslovak Math. J. 68 (2018), no. 1, 219--225.


79、 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. Appl. Math. Lett. 83 (2018), 182--187.


80、 Zhang, Zujin; Wu, Chupeng; Yao, Zheng-an. Remarks on global regularity for the 3D MHD system with damping. Appl. Math. Comput. 333 (2018), 1--7.


81、 张祖锦, 张程荣, 陈媛, 胡燕玲. 一个数学分析定理在点集拓扑中的推广[J]. 赣南师范大学学报, 2018, 03 : 8--9.


82、 Zhang, Zujin. 3D Hall-MHD system with vorticity in Besov spaces. Ann. Polon. Math. 121 (2018), no. 1, 91--98.


83、 Pan, Jian; Zhang, Zujin; Zhou, Xiangying. Optimal dynamic mean-variance asset-liability management under the Heston model. Adv. Difference Equ. 2018, 2018:258.


84、 Zhang, Zujin. Several new regularity criteria for the axisymmetric Navier-Stokes equations with swirl. Comput. Math. Appl. 76 (2018), no. 6, 1420--1426.


85、 Zhang, Zujin; Tang, Tong. Global regularity for a special family of axisymmetric solutions to the three-dimensional magnetic Bénard problem. Appl. Anal. 97 (2018), no. 14, 2533--2543.


86、 Zhang, Zujin; Wu, Chupeng. Some new multiplicative Sobolev inequalities with applications to the Navier-Stokes equations. Ann. Polon. Math. 121 (2018), no. 3, 279--290.


87、 Zhang, Zujin. Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces. Rocky Mountain J. Math. 48 (2018), no. 8, 2785--2795.


88、 邱树林, 张祖锦, 刘智广, 范丽娜. 函数在多个点Taylor展开[J]. 赣南师范大学学报, 2018, 06: 13-14.


89、 Tang, Tong; Zhang, Zujin. A remark on the global existence of weak solutions to the compressible quantum Navier-Stokes equations. Nonlinear Anal. Real World Appl. 45 (2019), 255--261.


90、 Zhang, Zujin; Wang, Weihua; Yao, Zheng-an. Components reduction regularity results for the Navier-Stokes equations in general dimensions. J. Math. Anal. Appl. 469 (2019), no. 2, 827--840.


91、 Zhang, Zujin. New a priori estimates for the axisymmetric Navier-Stokes system. Appl. Math. Lett. 92 (2019), 139--143.


92、 Zhang, Zujin; Wang, Weihua; Yang, Xian. An extension and simpler proof of Berselli–C‘ordoba‘s geometric regularity condition for the Navier–Stokes system. Comput. Math. Appl. 77 (2019), no. 3, 765--769.


93、 Zhang, Zujin; Yuan, Weijun; Zhou, Yong. Some remarks on the Navier-Stokes equations with regularity in one direction. Appl. Math. 64 (2019), no. 3, 301--308.


94、 谢元福, 张祖锦. 拓扑空间中子集的导集的计算[J]. 赣南师范大学学报, 2019, 03: 7-8.


95、 Zhang, Zujin. Regularity Criteria for the Axisymmetric Navier–Stokes System with Negative Weights. Results Math. 74 (2019), no. 4, 74:134.


96、 Zhang, Zujin; Pan, Jian; Qiu, Shulin. Extended Regularity Criteria for the Navier–Stokes–Maxwell system. Bull. Malays. Math. Sci. Soc. 42 (2019), no. 5, 2039--2046.


97、 Zhang, Zujin. Remarks on the energy equality for the non-Newtonian fluids. J. Math. Anal. Appl. 480 (2019), no. 2, 123443.


98、 Zhang, Zujin; Wu, Chupeng; Zhou, Yong. On Ratio Improvement of Prodi-Serrin-Ladyzhenskaya Type Regularity Criteria for the Navier-Stokes System. Czechoslovak Math. J. 69 (2019), no. 4, 1165--1175.


99、 Zhang, Zujin; Wang, Weihua; Zhou, Yong. Global regularity criterion for the Navier-Stokes equations based on the direction of vorticity. Math. Methods Appl. Sci. 42 (2019), no. 18, 7126--7134.

Zujin Zhang's Publications

原文:https://www.cnblogs.com/zhangzujin/p/12246064.html

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