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On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids
(Journal of Differential Equations, 2018-09)
We study a class of 2D solutions of a Bloch-Torrey regularization of the Rosensweig system in the whole space, which arise when the initial data and the external magnetic field are 2D. We prove that such solutions are ...