Estimates of solutions to the perturbed Stokes system
Analysis of PDEs
2014-03-03 v1
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.
Keywords
Cite
@article{arxiv.1402.7183,
title = {Estimates of solutions to the perturbed Stokes system},
author = {Viktor Vyalov and Timofey Shilkin},
journal= {arXiv preprint arXiv:1402.7183},
year = {2014}
}