Abstract
Local estimates are derived for solutions to a perturbed Stokes system, which arises as a reduction of the Stokes system near a curved part of the boundary of the domain if a diffeomorphism flattening the boundary is applied. The estimates obtained in the paper play the crucial role in the investigation of the partial regularity of weak solutions to the Navier--Stokes system near the curved part of the boundary. Bibliography: 8 titles.
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