Chen, Qionglei; Nie, Yao; Ye, Weikui Sharp ill-posedness for the non-resistive MHD equations in Sobolev spaces. (English) Zbl 07797701 J. Funct. Anal. 286, No. 6, Article ID 110302, 22 p. (2024). MSC: 35Q35 76W05 76D05 35R25 35A01 35A02 46E35 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Funct. Anal. 286, No. 6, Article ID 110302, 22 p. (2024; Zbl 07797701) Full Text: DOI
Houamed, Haroune Well-posedness and long time behavior for the electron inertial Hall-MHD system in Besov and Kato-Herz spaces. (English) Zbl 1504.35526 J. Math. Anal. Appl. 501, No. 2, Article ID 125208, 23 p. (2021). MSC: 35Q60 76W05 35B40 42B25 46E30 PDFBibTeX XMLCite \textit{H. Houamed}, J. Math. Anal. Appl. 501, No. 2, Article ID 125208, 23 p. (2021; Zbl 1504.35526) Full Text: DOI arXiv
Li, Yatao Local well-posedness for the non-resistive MHD equations in Sobolev spaces. (Chinese. English summary) Zbl 1463.35412 Acta Math. Sin., Chin. Ser. 63, No. 4, 335-348 (2020). MSC: 35Q35 76W05 46E35 PDFBibTeX XMLCite \textit{Y. Li}, Acta Math. Sin., Chin. Ser. 63, No. 4, 335--348 (2020; Zbl 1463.35412)
Agarwal, Ravi P.; Gala, Sadek; Ragusa, Maria Alessandra A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space. (English) Zbl 1440.35258 Z. Angew. Math. Phys. 71, No. 3, Paper No. 95, 11 p. (2020). MSC: 35Q35 35B65 76D05 76W05 35D30 46E30 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Z. Angew. Math. Phys. 71, No. 3, Paper No. 95, 11 p. (2020; Zbl 1440.35258) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{X. Wu} et al., Mediterr. J. Math. 15, No. 2, Paper No. 48, 14 p. (2018; Zbl 1392.35241) Full Text: DOI
Trebeschi, Paola On the slightly compressible MHD system in the half-plane. (English) Zbl 1057.35038 Commun. Pure Appl. Anal. 3, No. 1, 97-113 (2004). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q35 35L50 58J45 46E35 76W05 PDFBibTeX XMLCite \textit{P. Trebeschi}, Commun. Pure Appl. Anal. 3, No. 1, 97--113 (2004; Zbl 1057.35038) Full Text: DOI