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A refined regularity criterion for the Navier–Stokes equations involving one non-diagonal entry of the velocity gradient

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Abstract This paper concerns about the regularity criteria for the three-dimensional Navier–Stokes equations. By establishing a more subtle estimate of the crucial convective term in Navier–Stokes equations, we improve [4]… Click to show full abstract

Abstract This paper concerns about the regularity criteria for the three-dimensional Navier–Stokes equations. By establishing a more subtle estimate of the crucial convective term in Navier–Stokes equations, we improve [4] and [10] a lot.

Keywords: regularity criterion; criterion navier; stokes equations; refined regularity; navier stokes

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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