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Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel

Chongsheng Cao, Edriss S. Titi

math.AParXiv:math/0702647

Abstract

In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of ∂z p, where p is the pressure, for the global existence of the strong solutions to the three-dimensional Navier-Stokes equations.

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