Han, Woo Jin; Hwang, Hyung Ju; Moon, Byung Soo On the well-posedness of the Hall-magnetohydrodynamics with the ion-slip effect. (English) Zbl 1427.35176 J. Math. Fluid Mech. 21, No. 4, Paper No. 47, 28 p. (2019). MSC: 35Q30 35Q35 35Q85 76W05 35D30 76B03 35D35 PDF BibTeX XML Cite \textit{W. J. Han} et al., J. Math. Fluid Mech. 21, No. 4, Paper No. 47, 28 p. (2019; Zbl 1427.35176) Full Text: DOI
Zhang, Huali Global large smooth solutions for 3-D Hall-magnetohydrodynamics. (English) Zbl 1428.35411 Discrete Contin. Dyn. Syst. 39, No. 11, 6669-6682 (2019). MSC: 35Q35 35A01 35A02 35A09 35E15 76W05 35B65 PDF BibTeX XML Cite \textit{H. Zhang}, Discrete Contin. Dyn. Syst. 39, No. 11, 6669--6682 (2019; Zbl 1428.35411) Full Text: DOI arXiv
Wen, Zhihong An improved regularity criterion for the 3D Hall-MHD equations via the vorticity. (English) Zbl 1409.35173 Comput. Math. Appl. 75, No. 3, 821-836 (2018). MSC: 35Q35 35B65 76W05 PDF BibTeX XML Cite \textit{Z. Wen}, Comput. Math. Appl. 75, No. 3, 821--836 (2018; Zbl 1409.35173) Full Text: DOI
Zhu, Mingxuan Asymptotic behavior of solutions for the generalized MHD and Hall-MHD systems in \(\mathbb{R}^n\). (English) Zbl 1390.35293 Bull. Korean Math. Soc. 55, No. 3, 735-747 (2018). MSC: 35Q35 35B65 76D05 76W05 PDF BibTeX XML Cite \textit{M. Zhu}, Bull. Korean Math. Soc. 55, No. 3, 735--747 (2018; Zbl 1390.35293) Full Text: Link
Zhao, Xiaopeng; Zhu, Mingxuan Global well-posedness and asymptotic behavior of solutions for the three-dimensional MHD equations with Hall and ion-slip effects. (English) Zbl 1392.35243 Z. Angew. Math. Phys. 69, No. 2, Paper No. 22, 13 p. (2018). MSC: 35Q35 35B65 76D05 76W05 35A01 35B40 35D30 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{M. Zhu}, Z. Angew. Math. Phys. 69, No. 2, Paper No. 22, 13 p. (2018; Zbl 1392.35243) Full Text: DOI
Wu, Xing; Yu, Yanghai; Tang, Yanbin Well-posedness for the incompressible Hall-MHD equations in low regularity spaces. (English) Zbl 1392.35241 Mediterr. J. Math. 15, No. 2, Paper No. 48, 14 p. (2018). MSC: 35Q35 76D03 76W05 35B65 46E35 35D35 PDF BibTeX XML Cite \textit{X. Wu} et al., Mediterr. J. Math. 15, No. 2, Paper No. 48, 14 p. (2018; Zbl 1392.35241) Full Text: DOI
Jiang, Zaihong; Zhu, Mingxuan Regularity criteria for the 3D generalized MHD and Hall-MHD systems. (English) Zbl 1383.35164 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 105-122 (2018). MSC: 35Q35 35B65 76D05 76W05 35R11 PDF BibTeX XML Cite \textit{Z. Jiang} and \textit{M. Zhu}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 105--122 (2018; Zbl 1383.35164) Full Text: DOI
Ye, Zhuan; Zhang, Zujin A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity. (English) Zbl 1411.35232 Appl. Math. Comput. 301, 70-77 (2017). MSC: 35Q35 35B65 76W05 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{Z. Zhang}, Appl. Math. Comput. 301, 70--77 (2017; Zbl 1411.35232) Full Text: DOI
Wan, Renhui; Zhou, Yong Low regularity well-posedness for the 3D generalized Hall-MHD system. (English) Zbl 1365.35219 Acta Appl. Math. 147, No. 1, 95-111 (2017). MSC: 35R11 35Q35 76B03 PDF BibTeX XML Cite \textit{R. Wan} and \textit{Y. Zhou}, Acta Appl. Math. 147, No. 1, 95--111 (2017; Zbl 1365.35219) Full Text: DOI
Gu, Weijiang; Ma, Caochuan; Sun, Jianzhu A regularity criterion for the generalized Hall-MHD system. (English) Zbl 1354.35102 Bound. Value Probl. 2016, Paper No. 188, 7 p. (2016). MSC: 35Q35 35B65 76D05 76W05 PDF BibTeX XML Cite \textit{W. Gu} et al., Bound. Value Probl. 2016, Paper No. 188, 7 p. (2016; Zbl 1354.35102) Full Text: DOI
Yuan, Baoquan; Liu, Kunhong The blow-up criterion via horizontal component of velocity for the Hall-MHD equations. (English) Zbl 1351.76313 Appl. Anal. 95, No. 11, 2578-2589 (2016). MSC: 76W05 35B65 PDF BibTeX XML Cite \textit{B. Yuan} and \textit{K. Liu}, Appl. Anal. 95, No. 11, 2578--2589 (2016; Zbl 1351.76313) Full Text: DOI
Ye, Zhuan Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity. (English) Zbl 1348.35206 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 182-193 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q35 35B65 35Q85 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 182--193 (2016; Zbl 1348.35206) Full Text: DOI
Zhang, Zujin; Yang, Xian; Qiu, Shulin A regularity condition for the density-dependent magnetohydrodynamic equations in BMO space. (English) Zbl 1343.35197 Proc. Jangjeon Math. Soc. 19, No. 1, 125-133 (2016). MSC: 35Q35 76D03 76N10 42B25 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Proc. Jangjeon Math. Soc. 19, No. 1, 125--133 (2016; Zbl 1343.35197)
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. (English) Zbl 1251.35076 Kinet. Relat. Models 4, No. 4, 901-918 (2011). MSC: 35Q35 35D30 35L60 76W05 PDF BibTeX XML Cite \textit{M. Acheritogaray} et al., Kinet. Relat. Models 4, No. 4, 901--918 (2011; Zbl 1251.35076) Full Text: DOI arXiv