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arXiv · 1402.7183

Estimates of solutions to the perturbed Stokes system

Viktor Vyalov·Timofey Shilkin
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Abstract

In this paper we derive local estimates of solutions of the Perturbed Stokes system. This system arises as a reduction of the Stokes system near a curved part of the boundary of the domain if one applies a diffeomorphism flatting the boundary. 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 of the domain.

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Viktor Vyalov, Timofey Shilkin. 2014-02-28. Estimates of solutions to the perturbed Stokes system. https://arxiv.org/abs/1402.7183

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