Estimates of solutions to the perturbed Stokes system

In this paper, we derive local estimates of solutions to the 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 flatting the boundary is applied. The estimates obtained in the paper play the crucial role in the investigation of partial regularity of weak solutions to the Navier–Stokes system near a curved part of the boundary.