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@article {MR3598586,

    AUTHOR = {Ye, Zhuan and Zhang, Zujin},

     TITLE = {A remark on regularity criterion for the 3{D} {H}all-{MHD}

              equations based on the vorticity},

   JOURNAL = {Appl. Math. Comput.},

  FJOURNAL = {Applied Mathematics and Computation},

    VOLUME = {301},

      YEAR = {2017},

     PAGES = {70--77},

      ISSN = {0096-3003},

   MRCLASS = {35Q35 (35B65 35Q85 76W05)},

  MRNUMBER = {3598586},

       DOI = {10.1016/j.amc.2016.12.011},

       URL = {http://dx.doi.org/10.1016/j.amc.2016.12.011},

}

           

@article {MR3572774,

    AUTHOR = {Zhang, Zujin},

     TITLE = {On weighted regularity criteria for the axisymmetric

              {N}avier-{S}tokes equations},

   JOURNAL = {Appl. Math. Comput.},

  FJOURNAL = {Applied Mathematics and Computation},

    VOLUME = {296},

      YEAR = {2017},

     PAGES = {18--22},

      ISSN = {0096-3003},

   MRCLASS = {35Q30 (35B65 35Q35 76D03 76D05)},

  MRNUMBER = {3572774},

       DOI = {10.1016/j.amc.2016.10.001},

       URL = {http://dx.doi.org/10.1016/j.amc.2016.10.001},

}

           

@article {MR3578430,

    AUTHOR = {Zhang, Zujin},

     TITLE = {A regularity criterion for the three-dimensional micropolar

              fluid system in homogeneous {B}esov spaces},

   JOURNAL = {Electron. J. Qual. Theory Differ. Equ.},

  FJOURNAL = {Electronic Journal of Qualitative Theory of Differential

              Equations},

      YEAR = {2016},

     PAGES = {Paper No. 104, 6},

      ISSN = {1417-3875},

   MRCLASS = {35Q35 (35B65)},

  MRNUMBER = {3578430},

}

           

@article {MR3577385,

    AUTHOR = {Zhang, Zujin},

     TITLE = {A logarithmically improved regularity criterion for the 3{D}

              {MHD} system involving the velocity field in homogeneous

              {B}esov spaces},

   JOURNAL = {Ann. Polon. Math.},

  FJOURNAL = {Annales Polonici Mathematici},

    VOLUME = {118},

      YEAR = {2016},

    NUMBER = {1},

     PAGES = {51--57},

      ISSN = {0066-2216},

   MRCLASS = {35Q35 (35B65)},

  MRNUMBER = {3577385},

       DOI = {10.4064/ap3952-9-2016},

       URL = {http://dx.doi.org/10.4064/ap3952-9-2016},

}

           

@article {MR3564413,

    AUTHOR = {Zhang, Zujin and Zhou, Yong},

     TITLE = {On regularity criteria for the 3{D} {N}avier-{S}tokes

              equations involving the ratio of the vorticity and the

              velocity},

   JOURNAL = {Comput. Math. Appl.},

  FJOURNAL = {Computers \& Mathematics with Applications. An International

              Journal},

    VOLUME = {72},

      YEAR = {2016},

    NUMBER = {9},

     PAGES = {2311--2314},

      ISSN = {0898-1221},

   MRCLASS = {35Q30 (35B65 76D03 76D05)},

  MRNUMBER = {3564413},

       DOI = {10.1016/j.camwa.2016.08.031},

       URL = {http://dx.doi.org/10.1016/j.camwa.2016.08.031},

}

           

@article {MR3549976,

    AUTHOR = {Tang, Tong and Zhang, Zujin},

     TITLE = {Blow-up of smooth solution to the compressible

              {N}avier-{S}tokes-{P}oisson equations},

   JOURNAL = {Bull. Malays. Math. Sci. Soc.},

  FJOURNAL = {Bulletin of the Malaysian Mathematical Sciences Society},

    VOLUME = {39},

      YEAR = {2016},

    NUMBER = {4},

     PAGES = {1487--1497},

      ISSN = {0126-6705},

   MRCLASS = {35Q35 (35B44)},

  MRNUMBER = {3549976},

       DOI = {10.1007/s40840-015-0256-4},

       URL = {http://dx.doi.org/10.1007/s40840-015-0256-4},

}

           

@article {MR3539076,

    AUTHOR = {Zhang, Zujin},

     TITLE = {Remarks on regularity criteria for the {N}avier-{S}tokes

              equations with axisymmetric data},

   JOURNAL = {Ann. Polon. Math.},

  FJOURNAL = {Annales Polonici Mathematici},

    VOLUME = {117},

      YEAR = {2016},

    NUMBER = {2},

     PAGES = {181--196},

      ISSN = {0066-2216},

   MRCLASS = {35Q35 (35B65 76D05)},

  MRNUMBER = {3539076},

}

           

@article {MR3514264,

    AUTHOR = {Zhang, Zujin and Yang, Xian},

     TITLE = {Global regularity for the 3{D} {MHD} system with damping},

   JOURNAL = {Colloq. Math.},

  FJOURNAL = {Colloquium Mathematicum},

    VOLUME = {145},

      YEAR = {2016},

    NUMBER = {1},

     PAGES = {107--110},

      ISSN = {0010-1354},

   MRCLASS = {35Q35 (35B35 35B65 35D35 76W05)},

  MRNUMBER = {3514264},

}

           

@article {MR3491553,

    AUTHOR = {Zhang, Zujin},

     TITLE = {A remark on the blow-up criterion for the 3{D} {H}all-{MHD}

              system in {B}esov spaces},

   JOURNAL = {J. Math. Anal. Appl.},

  FJOURNAL = {Journal of Mathematical Analysis and Applications},

    VOLUME = {441},

      YEAR = {2016},

    NUMBER = {2},

     PAGES = {692--701},

      ISSN = {0022-247X},

   MRCLASS = {35Q35 (35B40)},

  MRNUMBER = {3491553},

       DOI = {10.1016/j.jmaa.2016.04.034},

       URL = {http://dx.doi.org/10.1016/j.jmaa.2016.04.034},

}

           

@article {MR3489969,

    AUTHOR = {Zhang, Zujin},

     TITLE = {Global regularity criteria for the {$n$}-dimensional

              {B}oussinesq equations with fractional dissipation},

   JOURNAL = {Electron. J. Differential Equations},

  FJOURNAL = {Electronic Journal of Differential Equations},

      YEAR = {2016},

     PAGES = {Paper No. 99, 5},

      ISSN = {1072-6691},

   MRCLASS = {35Q35 (35B65 76D03)},

  MRNUMBER = {3489969},

}

           

@article {MR3479607,

    AUTHOR = {Zhang, Zujin and Yang, Xian},

     TITLE = {Navier-{S}tokes equations with vorticity in {B}esov spaces of

              negative regular indices},

   JOURNAL = {J. Math. Anal. Appl.},

  FJOURNAL = {Journal of Mathematical Analysis and Applications},

    VOLUME = {440},

      YEAR = {2016},

    NUMBER = {1},

     PAGES = {415--419},

      ISSN = {0022-247X},

   MRCLASS = {35Q30 (35B65)},

  MRNUMBER = {3479607},

       DOI = {10.1016/j.jmaa.2016.03.037},

       URL = {http://dx.doi.org/10.1016/j.jmaa.2016.03.037},

}

           

@article {MR3469658,

    AUTHOR = {Zhang, Zujin and Yang, Xian and Qiu, Shulin},

     TITLE = {A regularity condition for the density-dependent

              magnetohydrodynamic equations in {BMO} space},

   JOURNAL = {Proc. Jangjeon Math. Soc.},

  FJOURNAL = {Proceedings of the Jangjeon Mathematical Society. Memoirs of

              the Jangjeon Mathematical Society},

    VOLUME = {19},

      YEAR = {2016},

    NUMBER = {1},

     PAGES = {125--133},

      ISSN = {1598-7264},

   MRCLASS = {35Q35 (35B65 76W05)},

  MRNUMBER = {3469658},

}

           

@article {MR3466911,

    AUTHOR = {Zhang, Zujin},

     TITLE = {3{D} density-dependent {B}oussinesq equations with velocity

              field in {BMO} spaces},

   JOURNAL = {Acta Appl. Math.},

  FJOURNAL = {Acta Applicandae Mathematicae},

    VOLUME = {142},

      YEAR = {2016},

     PAGES = {1--8},

      ISSN = {0167-8019},

   MRCLASS = {35Q35 (35B65 76D03)},

  MRNUMBER = {3466911},

       DOI = {10.1007/s10440-015-0011-8},

       URL = {http://dx.doi.org/10.1007/s10440-015-0011-8},

}

           

@article {MR3460726,

    AUTHOR = {Zhang, Zujin and Yang, Xian},

     TITLE = {Remarks on the blow-up criterion for the {MHD} system

              involving horizontal components or their horizontal gradients},

   JOURNAL = {Ann. Polon. Math.},

  FJOURNAL = {Annales Polonici Mathematici},

    VOLUME = {116},

      YEAR = {2016},

    NUMBER = {1},

     PAGES = {87--99},

      ISSN = {0066-2216},

   MRCLASS = {35Q35 (35B44 35B65 76W05)},

  MRNUMBER = {3460726},

}

           

@article {MR3444413,

    AUTHOR = {Zhang, Zujin and Yang, Xian and Qiu, Shulin},

     TITLE = {Remarks on {L}iouville type result for the 3{D} {H}all-{MHD}

              system},

   JOURNAL = {J. Partial Differ. Equ.},

  FJOURNAL = {Journal of Partial Differential Equations},

    VOLUME = {28},

      YEAR = {2015},

    NUMBER = {3},

     PAGES = {286--290},

      ISSN = {1000-940X},

   MRCLASS = {35Q35 (35B53 76W05)},

  MRNUMBER = {3444413},

       DOI = {10.4208/jpde.v28.n3.7},

       URL = {http://dx.doi.org/10.4208/jpde.v28.n3.7},

}

           

@article {MR3434338,

    AUTHOR = {Zhang, Zujin},

     TITLE = {Navier-{S}tokes equations with regularity in one directional

              derivative of the pressure},

   JOURNAL = {Math. Methods Appl. Sci.},

  FJOURNAL = {Mathematical Methods in the Applied Sciences},

    VOLUME = {38},

      YEAR = {2015},

    NUMBER = {17},

     PAGES = {4019--4023},

      ISSN = {0170-4214},

   MRCLASS = {35Q30 (35B65)},

  MRNUMBER = {3434338},

       DOI = {10.1002/mma.3339},

       URL = {http://dx.doi.org/10.1002/mma.3339},

}

           

@article {MR3404272,

    AUTHOR = {Zhang, Zujin and Yang, Xian},

     TITLE = {A regularity criterion for the 3{D} density-dependent

              incompressible flow of liquid crystals with vacuum},

   JOURNAL = {Ann. Polon. Math.},

  FJOURNAL = {Annales Polonici Mathematici},

    VOLUME = {115},

      YEAR = {2015},

    NUMBER = {2},

     PAGES = {165--177},

      ISSN = {0066-2216},

   MRCLASS = {35Q35 (35B65 82D30)},

  MRNUMBER = {3404272},

       DOI = {10.4064/ap115-2-4},

       URL = {http://dx.doi.org/10.4064/ap115-2-4},

}

           

@article {MR3377710,

    AUTHOR = {Zhang, Zujin},

     TITLE = {An almost {S}errin-type regularity criterion for the

              {N}avier-{S}tokes equations involving the gradient of one

              velocity component},

   JOURNAL = {Z. Angew. Math. Phys.},

  FJOURNAL = {Zeitschrift f\"ur Angewandte Mathematik und Physik. ZAMP.

              Journal of Applied Mathematics and Physics. Journal de

              Math\‘ematiques et de Physique Appliqu\‘ees},

    VOLUME = {66},

      YEAR = {2015},

    NUMBER = {4},

     PAGES = {1707--1715},

      ISSN = {0044-2275},

   MRCLASS = {35Q30 (35B65 76D03 76D05)},

  MRNUMBER = {3377710},

       DOI = {10.1007/s00033-015-0500-7},

       URL = {http://dx.doi.org/10.1007/s00033-015-0500-7},

}

           

@article {MR3371254,

    AUTHOR = {Zhang, Zujin and Yang, Xian},

     TITLE = {A note on the regularity criterion for the 3{D}

              {N}avier-{S}tokes equations via the gradient of one velocity

              component},

   JOURNAL = {J. Math. Anal. Appl.},

  FJOURNAL = {Journal of Mathematical Analysis and Applications},

    VOLUME = {432},

      YEAR = {2015},

    NUMBER = {1},

     PAGES = {603--611},

      ISSN = {0022-247X},

   MRCLASS = {35Q30 (35B65 35D30)},

  MRNUMBER = {3371254},

       DOI = {10.1016/j.jmaa.2015.06.050},

       URL = {http://dx.doi.org/10.1016/j.jmaa.2015.06.050},

}

           

@article {MR3348069,

    AUTHOR = {Zhang, Zujin and Yang, Xian},

     TITLE = {On the regularity criterion for the {N}avier-{S}tokes

              equations involving the diagonal entry of the velocity

              gradient},

   JOURNAL = {Nonlinear Anal.},

  FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An

              International Multidisciplinary Journal},

    VOLUME = {122},

      YEAR = {2015},

     PAGES = {169--175},

      ISSN = {0362-546X},

   MRCLASS = {35Q30 (35B65 76D03 76D05)},

  MRNUMBER = {3348069},

       DOI = {10.1016/j.na.2015.04.005},

       URL = {http://dx.doi.org/10.1016/j.na.2015.04.005},

}

论文引用信息