Geodesic
Estimates of solutions to the perturbed Stokes system
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 43, Tome 410 (2013), pp. 5-24

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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. 
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     author = {V. Vialov and T. Shilkin},
     title = {Estimates of solutions to the perturbed {Stokes} system},
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V. Vialov; T. Shilkin. Estimates of solutions to the perturbed Stokes system. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 43, Tome 410 (2013), pp. 5-24. http://geodesic.mathdoc.fr/item/ZNSL_2013_410_a0/