Article ID Journal Published Year Pages File Type
1707451 Applied Mathematics Letters 2016 6 Pages PDF
Abstract

In this paper, we investigate the case of Prodi–Serrin type regularity criterion involving u3u3 and ∂3uh∂3uh. More precisely, it is shown that Leray’s weak solutions of the three-dimensional Navier–Stokes equations become regular if the third component of velocity (or the gradient of the velocity field) satisfies the additional end-point Prodi–Serrin type condition.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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