Sustainability (Switzerland). MDPI AG. Vol. 12. 2020. P. 1-17
In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R3, and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one. © 2020, Sociedade Brasileira de Matemática.