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arxiv: math/0702647 · v1 · submitted 2007-02-22 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords equationsnavier-stokesthree-dimensionalchannelinfinitepressureconditionconsider
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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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