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A Remark on Regularity Criterion for the Navier-Stokes Equations in a Bounded Domain of ℝN

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Abstract

In this paper, we are interested in regularity problem for the incompressible Navier-Stokes equations in a bounded domain of \(\mathbb {R}^{N}\) with smooth boundary. Some new sufficient conditions which guarantee the regularity of Leray-Hopf weak solutions concerning the combination of the unknowns are established.

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Wang, Kc. A Remark on Regularity Criterion for the Navier-Stokes Equations in a Bounded Domain of ℝN . Math Phys Anal Geom 18, 5 (2015). https://doi.org/10.1007/s11040-015-9171-z

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