A priori estimates for a relativistic liquid with free surface boundary
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estimatesboundaryfluidfreeliquidnormsrelativisticsobolev
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We prove energy estimates for a relativistic free liquid body with sufficiently small fluid velocity in a general Einstein spacetime. These estimates control Sobolev norms of the fluid velocity and enthalpy in the interior as well as Sobolev norms of the second fundamental form on the boundary.
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