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

Chongsheng Cao·Edriss S. Titi
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Abstract

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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Chongsheng Cao, Edriss S. Titi. 2007-02-22. Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel. https://arxiv.org/abs/math/0702647

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