| Abstract: |
| We address the question of global in time existence of weak solutions for a diffuse interface model in a bounded domain involving incompressible magnetic fluids with unmatched densities. The model couples the incompressible Navier-Stokes equations, gradient flow of the magnetization vector and the Cahn-Hilliard dynamics describing the partial mixing of two fluids. The density of the mixture depends on an order parameter. |
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