Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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