Local $\varepsilon$-regularity criteria for the five dimensional stationary Navier-Stokes equations

Xiufang Cui

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arXiv · 2110.12600

Local $\varepsilon$-regularity criteria for the five dimensional stationary Navier-Stokes equations

Xiufang Cui

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Abstract

In this paper, we establish $\varepsilon$-regularity criteria at one scale for suitable weak solutions to the five dimensional stationary incompressible Navier-Stokes equations in both the unit ball $B_1$ and the unit half ball $B_1^+$, respectively, which improve previous results in [J. Math. Fluid Mech., 6(2004), pp 78--101] and [Comm. Pure Appl. Math., 41(1988), pp 437--458]. The proofs of the main results are based on an iteration argument, Campanato's method, and interpolation techniques.

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Xiufang Cui. 2021-10-25. Local $\varepsilon$-regularity criteria for the five dimensional stationary Navier-Stokes equations. https://arxiv.org/abs/2110.12600

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