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<p style='text-indent:20px;'>In this paper, we prove the local well-posedness of strong solutions to the density-dependent incompressible magneto-micropolar system with vacuum. There is no assuming compatibility condition on the initial data.</p>

This paper proves the global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system with partial viscous terms on bounded domains. MSC: 35Q35; 76D05; 35M10

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This paper proves a regularity criterion for the 3D generalized Hall-MHD system. MSC: 35Q35; 35B65; 76D05