Gala, Sadek On the improved regularity criterion of the solutions to the Navier-Stokes equations. (English) Zbl 1452.35132 Commun. Korean Math. Soc. 35, No. 1, 339-345 (2020). MSC: 35Q30 35B65 35D30 76D05 PDF BibTeX XML Cite \textit{S. Gala}, Commun. Korean Math. Soc. 35, No. 1, 339--345 (2020; Zbl 1452.35132) Full Text: DOI
Pineau, Benjamin; Yu, Xinwei On Prodi-Serrin type conditions for the 3D Navier-Stokes equations. (English) Zbl 1433.35240 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111612, 15 p. (2020). MSC: 35Q30 35B65 76D05 76D03 PDF BibTeX XML Cite \textit{B. Pineau} and \textit{X. Yu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111612, 15 p. (2020; Zbl 1433.35240) Full Text: DOI
Pineau, Benjamin; Yu, Xinwei A new Prodi-Serrin type regularity criterion in velocity directions. (English) Zbl 1419.35153 J. Math. Fluid Mech. 20, No. 4, 1737-1744 (2018). MSC: 35Q30 35B65 76D05 PDF BibTeX XML Cite \textit{B. Pineau} and \textit{X. Yu}, J. Math. Fluid Mech. 20, No. 4, 1737--1744 (2018; Zbl 1419.35153) 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
Tran, Chuong V.; Yu, Xinwei Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure. (English) Zbl 1342.35228 Appl. Math. Lett. 58, 62-68 (2016). MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{C. V. Tran} and \textit{X. Yu}, Appl. Math. Lett. 58, 62--68 (2016; Zbl 1342.35228) Full Text: DOI
Pan, Xinghong Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition. (English) Zbl 1343.35188 J. Differ. Equations 260, No. 12, 8485-8529 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35B65 76D05 PDF BibTeX XML Cite \textit{X. Pan}, J. Differ. Equations 260, No. 12, 8485--8529 (2016; Zbl 1343.35188) 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
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
Bosia, Stefano; Conti, Monica; Pata, Vittorino A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient. (English) Zbl 1293.35196 Cent. Eur. J. Math. 12, No. 7, 1015-1025 (2014). MSC: 35Q30 76D03 76D05 35B65 35D30 PDF BibTeX XML Cite \textit{S. Bosia} et al., Cent. Eur. J. Math. 12, No. 7, 1015--1025 (2014; Zbl 1293.35196) Full Text: DOI
Chae, Dongho; Yoneda, Tsuyoshi On the Liouville theorem for the stationary Navier-Stokes equations in a critical space. (English) Zbl 1306.35082 J. Math. Anal. Appl. 405, No. 2, 706-710 (2013). MSC: 35Q30 35B53 PDF BibTeX XML Cite \textit{D. Chae} and \textit{T. Yoneda}, J. Math. Anal. Appl. 405, No. 2, 706--710 (2013; Zbl 1306.35082) Full Text: DOI
Zang, Minglei; Guan, Xiaoyan Logarithmically improved regularity criteria for a fluid system with the linear Soret effect. (English) Zbl 1253.35131 Abstr. Appl. Anal. 2012, Article ID 420721, 8 p. (2012). MSC: 35Q35 35B65 PDF BibTeX XML Cite \textit{M. Zang} and \textit{X. Guan}, Abstr. Appl. Anal. 2012, Article ID 420721, 8 p. (2012; Zbl 1253.35131) Full Text: DOI
Liu, Qiao; Zhao, Jihong; Cui, Shangbin A logarithmically improved regularity criterion for the Navier-Stokes equations. (English) Zbl 1251.35072 Monatsh. Math. 167, No. 3-4, 503-509 (2012). MSC: 35Q30 35B65 30H25 PDF BibTeX XML Cite \textit{Q. Liu} et al., Monatsh. Math. 167, No. 3--4, 503--509 (2012; Zbl 1251.35072) Full Text: DOI
Silvestre, Luis; Vicol, Vlad Hölder continuity for a drift-diffusion equation with pressure. (English. French summary) Zbl 1252.35102 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 4, 637-652 (2012). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35K10 PDF BibTeX XML Cite \textit{L. Silvestre} and \textit{V. Vicol}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 4, 637--652 (2012; Zbl 1252.35102) Full Text: DOI arXiv
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
Wang, Yin-Xia; Zhao, Hengjun Logarithmically improved blow up criterion for smooth solutions to the 3D micropolar fluid equations. (Logarithmically improved blow up criterion for smooths solution to the 3D micropolar fluid equations.) (English) Zbl 1251.35092 J. Appl. Math. 2012, Article ID 541203, 13 p. (2012). MSC: 35Q35 35B44 PDF BibTeX XML Cite \textit{Y.-X. Wang} and \textit{H. Zhao}, J. Appl. Math. 2012, Article ID 541203, 13 p. (2012; Zbl 1251.35092) Full Text: DOI
Liu, Qiao; Cui, Shangbin; Gala, Sadek Logarithmically improved criteria for the 3D nematic liquid crystal flows in the multiplier spaces. (English) Zbl 1432.76045 Acta Appl. Math. 117, No. 1, 107-114 (2012). MSC: 76A15 35B65 35Q35 PDF BibTeX XML Cite \textit{Q. Liu} et al., Acta Appl. Math. 117, No. 1, 107--114 (2012; Zbl 1432.76045) 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
Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. (English) Zbl 1270.35339 J. Math. Fluid Mech. 13, No. 4, 557-571 (2011). MSC: 35Q30 35Q35 35Q60 76D03 76W05 76D05 PDF BibTeX XML Cite \textit{J. Fan} et al., J. Math. Fluid Mech. 13, No. 4, 557--571 (2011; Zbl 1270.35339) Full Text: DOI
Bjorland, Clayton; Vasseur, Alexis Weak in space, log in time improvement of the Ladyženskaja-Prodi-Serrin criteria. (English) Zbl 1270.35334 J. Math. Fluid Mech. 13, No. 2, 259-269 (2011). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{C. Bjorland} and \textit{A. Vasseur}, J. Math. Fluid Mech. 13, No. 2, 259--269 (2011; Zbl 1270.35334) Full Text: DOI arXiv
Gala, Sadek A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure. (English) Zbl 1230.35100 Math. Methods Appl. Sci. 34, No. 16, 1945-1953 (2011). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q35 76D03 PDF BibTeX XML Cite \textit{S. Gala}, Math. Methods Appl. Sci. 34, No. 16, 1945--1953 (2011; Zbl 1230.35100) 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
Le, Nam Q. Blow up of subcritical quantities at the first singular time of the mean curvature flow. (English) Zbl 1216.53059 Geom. Dedicata 151, 361-371 (2011). Reviewer: Shu-Yu Hsu (Chia-Yi) MSC: 53C44 35K55 35B44 PDF BibTeX XML Cite \textit{N. Q. Le}, Geom. Dedicata 151, 361--371 (2011; Zbl 1216.53059) Full Text: DOI arXiv
Xiang, Zhaoyin A regularity criterion for the critical and supercritical dissipative quasi-geostrophic equations. (English) Zbl 1197.35207 Appl. Math. Lett. 23, No. 10, 1286-1290 (2010). MSC: 35Q35 76B03 35B65 86A05 PDF BibTeX XML Cite \textit{Z. Xiang}, Appl. Math. Lett. 23, No. 10, 1286--1290 (2010; Zbl 1197.35207) Full Text: DOI
Berselli, Luigi C. Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. (English) Zbl 1205.35186 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 209-224 (2009). MSC: 35Q30 35B65 76D05 PDF BibTeX XML Cite \textit{L. C. Berselli}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 209--224 (2009; Zbl 1205.35186) Full Text: DOI
Du, Yi; Liu, Yan; Yao, Zhengan Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations. (English) Zbl 1202.76152 J. Math. Phys. 50, No. 2, 023507, 8 p. (2009). MSC: 76W05 PDF BibTeX XML Cite \textit{Y. Du} et al., J. Math. Phys. 50, No. 2, 023507, 8 p. (2009; Zbl 1202.76152) 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