(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 1121-1129

## On new a priori estimates for modified Navier--Stokes equations in domains with nonsmooth boundaries in three-dimensional space

A. A. Kornev

Abstract

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 We give new \emph{a priori} estimates for the Ladyzhenskaya modification of Navie--Stokes equations for the case of bounded three-dimensional regions with arbitrary boundary. The results make it possible to study attractor stability for various approximations of the original problem. 

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