Abstract
In this paper, we establish a blow-up criterion of strong solutions to the 3D incompressible magnetohydrodynamics equations including two nonlinear extra terms: the Hall term (quadratic with respect to the magnetic field) and the ion-slip term (cubic with respect to the magnetic field). This is an improvement of the recent results given by Fan et al. (Z Angew Math Phys, 2015).
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Gala, S., Ragusa, M.A. On the blow-up criterion of strong solutions for the MHD equations with the Hall and ion-slip effects in \({\mathbb{R}^{3}}\) . Z. Angew. Math. Phys. 67, 18 (2016). https://doi.org/10.1007/s00033-016-0617-3
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DOI: https://doi.org/10.1007/s00033-016-0617-3