Gala, Saddek; Ragusa, Maria Alessandra A logarithmic regularity criterion for the two-dimensional MHD equations. (English) Zbl 1349.35294 J. Math. Anal. Appl. 444, No. 2, 1752-1758 (2016). Summary: We prove a logarithmic regularity criterion for the 2D MHD equations without magnetic diffusion in terms of the magnetic field in homogeneous Besov space \(\dot B^0_{\infty,\infty}\). Cited in 15 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76W05 Magnetohydrodynamics and electrohydrodynamics 76B65 Rossby waves (MSC2010) Keywords:regularity criterion; incompressible MHD equations; Besov space \(\dot{B}_{\infty, \infty}^0\) PDFBibTeX XMLCite \textit{S. Gala} and \textit{M. A. Ragusa}, J. Math. Anal. Appl. 444, No. 2, 1752--1758 (2016; Zbl 1349.35294) Full Text: DOI References: [1] Adams, R. 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