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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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

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