Abstract
The purpose of this article is to show that a weak solution to the Navier-Stokes equations (NSE) in an infinite channel or in a spherical domain is actually regular up to the boundary if one component of the velocity is smooth enough. As a novelty, the 3D NSE are viewed as a perturbation of the 2D NSE in a sense to be explained below.
Citation
Ioana Moise. "Regularity of Navier-Stokes equations." Differential Integral Equations 19 (1) 31 - 50, 2006. https://doi.org/10.57262/die/1356050531
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