| Abstract: |
| In this work we study a model of differential system introduced by Shliomis to describe the stationary flow of an incompressible ferrofluid submitted to the action of an external magnetic field. The system is a combination of the Navier-Stokes equations, the magnetization equation.
We prove the existence of weak solution of this proble and we give regularity results in $ L^{p}-$theory. |
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