Global regularity criterion for the 3D Navier-Stokes equations with large data

Abdelhafid Younsi

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arXiv · 1504.02918

Global regularity criterion for the 3D Navier-Stokes equations with large data

Abdelhafid Younsi

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Abstract

In this paper, we study the global regularity of strong solution to the Cauchy problem of 3D incompressible Navier-Stokes equations with large data and non-zero force. We prove that the strong solution exists globally for $\nabla u\in L^α\left( 0,T,L^{2}\left( Ω\right) \right) $ with $2\leqα\leq4$.

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Abdelhafid Younsi. 2015-09-28. Global regularity criterion for the 3D Navier-Stokes equations with large data. https://arxiv.org/abs/1504.02918

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