Abstract
This paper deals with the problem of regularity criteria for the 2D generalized MHD system with fractional dissipative terms \({-\Lambda^{2\alpha}u}\) for the velocity field and \({-\Lambda^{2\beta}b}\) for the magnetic field respectively. Various regularity criteria are established to guarantee smoothness of solutions. It turns out that our regularity criteria imply previous global existence results naturally.
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Jiang, Z., Wang, Y. & Zhou, Y. On Regularity Criteria for the 2D Generalized MHD System. J. Math. Fluid Mech. 18, 331–341 (2016). https://doi.org/10.1007/s00021-015-0235-4
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DOI: https://doi.org/10.1007/s00021-015-0235-4