We study the existence of solutions of the MHD system (a coupling between a fluid and a magnetic field) in open subsets in 3 dimensions with Lipschitz regularity at the boundary. 

We formulate the problem with the help of differential forms which helps understanding the mathematical problem and the boundary conditions. 

The method employed to show existence of solutions is weighted maximal regularity for the linear part of the problem and a fixed point theorem to treat the non linear part.

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