Free boundary incompressible magnetohydrodynamics is shown to be well-posed at the sharp low-regularity scale s > d/2 + 1, with first uniqueness and smooth-solution construction results in a new state space.
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Sharp well-posedness for the free boundary MHD equations
Free boundary incompressible magnetohydrodynamics is shown to be well-posed at the sharp low-regularity scale s > d/2 + 1, with first uniqueness and smooth-solution construction results in a new state space.