Guo, Zhengguang; O, Chol-Jun Anisotropic Prodi-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component. (English) Zbl 07727107 Appl. Math. Lett. 145, Article ID 108732, 9 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 35B65 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{C.-J. O}, Appl. Math. Lett. 145, Article ID 108732, 9 p. (2023; Zbl 07727107) Full Text: DOI
Agarwal, Ravi P.; Alghamdi, Ahmad M.; Gala, Sadek; Ragusa, Maria Alessandra On the regularity criterion on one velocity component for the micropolar fluid equations. (English) Zbl 1514.35342 Math. Model. Anal. 28, No. 2, 271-284 (2023). MSC: 35Q35 35B65 PDF BibTeX XML Cite \textit{R. P. Agarwal} et al., Math. Model. Anal. 28, No. 2, 271--284 (2023; Zbl 1514.35342) Full Text: DOI
O, Chol-Jun An optimal regularity criterion for 3D Navier-Stokes equations involving the gradient of one velocity component. (English) Zbl 1498.35397 J. Math. Anal. Appl. 518, No. 1, Article ID 126630, 8 p. (2023). MSC: 35Q30 76D05 35B65 35D30 42B25 PDF BibTeX XML Cite \textit{C.-J. O}, J. Math. Anal. Appl. 518, No. 1, Article ID 126630, 8 p. (2023; Zbl 1498.35397) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
Lorenz, Jens; Melo, Wilberclay G.; de Souza, Suelen C. P. Regularity criteria for weak solutions of the magneto-micropolar equations. (English) Zbl 1456.76154 Electron Res. Arch. 29, No. 1, 1625-1639 (2021). MSC: 76W05 35Q35 35Q60 PDF BibTeX XML Cite \textit{J. Lorenz} et al., Electron Res. Arch. 29, No. 1, 1625--1639 (2021; Zbl 1456.76154) Full Text: DOI
Houamed, Haroune About some possible blow-up conditions for the 3-D Navier-Stokes equations. (English) Zbl 1475.35234 J. Differ. Equations 275, 116-138 (2021). MSC: 35Q30 76D03 76D05 35B44 42B25 PDF BibTeX XML Cite \textit{H. Houamed}, J. Differ. Equations 275, 116--138 (2021; Zbl 1475.35234) Full Text: DOI arXiv
Wang, Yanqing; Wu, Gang; Zhou, Daoguo \(\varepsilon\)-regularity criteria in anisotropic Lebesgue spaces and Leray’s self-similar solutions to the 3D Navier-Stokes equations. (English) Zbl 1466.35290 Z. Angew. Math. Phys. 71, No. 5, Paper No. 164, 19 p. (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35B65 35D30 76D05 35C06 PDF BibTeX XML Cite \textit{Y. Wang} et al., Z. Angew. Math. Phys. 71, No. 5, Paper No. 164, 19 p. (2020; Zbl 1466.35290) Full Text: DOI arXiv
Beirão da Veiga, Hugo; Yang, Jiaqi Regularity criteria for Navier-Stokes equations with slip boundary conditions on non-flat boundaries via two velocity components. (English) Zbl 1420.35180 Adv. Nonlinear Anal. 9, 633-643 (2020). MSC: 35Q30 35B65 76D05 PDF BibTeX XML Cite \textit{H. Beirão da Veiga} and \textit{J. Yang}, Adv. Nonlinear Anal. 9, 633--643 (2020; Zbl 1420.35180) Full Text: DOI arXiv
Agélas, Léo A new path to the non blow-up of incompressible flows. (English) Zbl 1433.35214 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 6, 1503-1537 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q31 35B44 76B03 86A10 PDF BibTeX XML Cite \textit{L. Agélas}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 6, 1503--1537 (2019; Zbl 1433.35214) Full Text: DOI HAL
Beirão da Veiga, Hugo; Bemelmans, Josef; Brand, Johannes On a two components condition for regularity of the 3D Navier-Stokes equations under physical slip boundary conditions on non-flat boundaries. (English) Zbl 1420.35179 Math. Ann. 374, No. 3-4, 1559-1596 (2019). MSC: 35Q30 76D05 35B65 76D10 PDF BibTeX XML Cite \textit{H. Beirão da Veiga} et al., Math. Ann. 374, No. 3--4, 1559--1596 (2019; Zbl 1420.35179) 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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Nonlinearity 32, No. 6, 1905--1928 (2019; Zbl 1416.35188) Full Text: DOI
Bae, Hantaek; Kang, Kyungkeun Regularity condition of the incompressible Navier-Stokes equations in terms of one velocity component. (English) Zbl 1417.35092 Appl. Math. Lett. 94, 120-125 (2019). MSC: 35Q30 35B44 35B65 PDF BibTeX XML Cite \textit{H. Bae} and \textit{K. Kang}, Appl. Math. Lett. 94, 120--125 (2019; Zbl 1417.35092) Full Text: DOI
Wang, Yanqing; Wu, Gang; Zhou, Daoguo Some interior regularity criteria involving two components for weak solutions to the 3D Navier-Stokes equations. (English) Zbl 1404.76069 J. Math. Fluid Mech. 20, No. 4, 2147-2159 (2018). MSC: 76D03 76D05 35B33 35Q35 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Math. Fluid Mech. 20, No. 4, 2147--2159 (2018; Zbl 1404.76069) Full Text: DOI
Li, Yachun; Xi, Shuai Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum. (English) Zbl 1379.35039 J. Math. Anal. Appl. 458, No. 2, 1166-1192 (2018). MSC: 35B44 35Q35 35D35 PDF BibTeX XML Cite \textit{Y. Li} and \textit{S. Xi}, J. Math. Anal. Appl. 458, No. 2, 1166--1192 (2018; Zbl 1379.35039) 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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., J. Nonlinear Sci. 27, No. 6, 1725--1742 (2017; Zbl 1379.35213) Full Text: DOI
Axmann, Šimon; Pokorný, Milan A generalization of some regularity criteria to the Navier-Stokes equations involving one velocity component. (English) Zbl 1337.35109 Amann, Herbert (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 79-97 (2016). MSC: 35Q30 35B65 PDF BibTeX XML Cite \textit{Š. Axmann} and \textit{M. Pokorný}, in: Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata's 60th birthday, Nara, Japan, March, 5--9, 2013. Basel: Birkhäuser/Springer. 79--97 (2016; Zbl 1337.35109) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 435, No. 2, 1623--1633 (2016; Zbl 1333.35166) Full Text: DOI
Wang, Weihua; Zhou, Guopeng Remarks on the regularity criterion of the Navier-Stokes equations with nonlinear damping. (English) Zbl 1394.35330 Math. Probl. Eng. 2015, Article ID 310934, 5 p. (2015). MSC: 35Q30 35B65 35D30 PDF BibTeX XML Cite \textit{W. Wang} and \textit{G. Zhou}, Math. Probl. Eng. 2015, Article ID 310934, 5 p. (2015; Zbl 1394.35330) Full Text: DOI
Liu, Qiao A regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity. (English) Zbl 1332.35264 Acta Appl. Math. 140, No. 1, 1-9 (2015). MSC: 35Q30 35B65 35M30 76D05 PDF BibTeX XML Cite \textit{Q. Liu}, Acta Appl. Math. 140, No. 1, 1--9 (2015; Zbl 1332.35264) Full Text: DOI
Zhao, Jihong; Liu, Qiao On the Serrin’s regularity criterion for the \(\beta\)-generalized dissipative surface quasi-geostrophic equation. (English) Zbl 1347.35061 Chin. Ann. Math., Ser. B 36, No. 6, 947-956 (2015). MSC: 35B65 35Q86 35R11 35D30 35B60 PDF BibTeX XML Cite \textit{J. Zhao} and \textit{Q. Liu}, Chin. Ann. Math., Ser. B 36, No. 6, 947--956 (2015; Zbl 1347.35061) 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 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{X. Yang}, J. Math. Anal. Appl. 432, No. 1, 603--611 (2015; Zbl 1330.35301) Full Text: DOI
Lin, Hongxia; Li, Shan Regularity criterion for solutions to the three-dimensional Navier-Stokes equations in the turbulent channel. (English) Zbl 1300.35076 J. Math. Anal. Appl. 420, No. 2, 1803-1813 (2014). MSC: 35Q30 76D05 35B65 35D30 76F25 PDF BibTeX XML Cite \textit{H. Lin} and \textit{S. Li}, J. Math. Anal. Appl. 420, No. 2, 1803--1813 (2014; Zbl 1300.35076) Full Text: DOI
Han, Pigong Interior regularity of weak solutions to the perturbed Navier-Stokes equations. (English) Zbl 1265.35246 Appl. Math., Praha 57, No. 5, 427-444 (2012). Reviewer: Jiří Neústupa (Praha) MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{P. Han}, Appl. Math., Praha 57, No. 5, 427--444 (2012; Zbl 1265.35246) Full Text: DOI Link
Han, Pigong; He, Cheng Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. (English) Zbl 1256.35081 Math. Methods Appl. Sci. 35, No. 11, 1335-1355 (2012). MSC: 35Q35 35D30 35B65 PDF BibTeX XML Cite \textit{P. Han} and \textit{C. He}, Math. Methods Appl. Sci. 35, No. 11, 1335--1355 (2012; Zbl 1256.35081) Full Text: DOI
Han, Pigong Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. (English) Zbl 1185.35164 Port. Math. (N.S.) 67, No. 1, 57-74 (2010). MSC: 35Q30 35B65 76D05 76D03 35D30 PDF BibTeX XML Cite \textit{P. Han}, Port. Math. (N.S.) 67, No. 1, 57--74 (2010; Zbl 1185.35164) Full Text: DOI Link
Vasseur, Alexis Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. (English) Zbl 1212.35354 Appl. Math., Praha 54, No. 1, 47-52 (2009). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{A. Vasseur}, Appl. Math., Praha 54, No. 1, 47--52 (2009; Zbl 1212.35354) Full Text: DOI arXiv EuDML
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rojas-Medar, M. A. Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model. (English) Zbl 1173.35033 Math. Nachr. 282, No. 6, 846-867 (2009). Reviewer: Cheng He (Beijing) MSC: 35B65 35Q35 76D03 76A15 PDF BibTeX XML Cite \textit{F. Guillén-González} et al., Math. Nachr. 282, No. 6, 846--867 (2009; Zbl 1173.35033) Full Text: DOI Link
Zhang, Xicheng A regularity criterion for the solutions of 3D Navier-Stokes equations. (English) Zbl 1147.35337 J. Math. Anal. Appl. 346, No. 1, 336-339 (2008). MSC: 35Q30 35B65 76D05 76D03 PDF BibTeX XML Cite \textit{X. Zhang}, J. Math. Anal. Appl. 346, No. 1, 336--339 (2008; Zbl 1147.35337) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed Conditional regularity of the 3D Navier-Stokes equation. (Régularité conditionnelle des équations de Navier-Stokes.) (French. Abridged English version) Zbl 1099.35082 C. R., Math., Acad. Sci. Paris 343, No. 1, 31-36 (2006). MSC: 35Q30 76D03 76D05 35D10 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{M. Ziane}, C. R., Math., Acad. Sci. Paris 343, No. 1, 31--36 (2006; Zbl 1099.35082) Full Text: DOI
Zhou, Yong A new regularity criterion for weak solutions to the Navier-Stokes equations. (English) Zbl 1092.35081 J. Math. Pures Appl., IX. Sér. 84, No. 11, 1496-1514 (2005). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 76D03 76D05 35B45 PDF BibTeX XML Cite \textit{Y. Zhou}, J. Math. Pures Appl. (9) 84, No. 11, 1496--1514 (2005; Zbl 1092.35081) Full Text: DOI