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arXiv · 2308.09350

Vorticity interior trace estimates and higher derivative estimates via blow-up method

Jincheng Yang
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Abstract

We derive several nonlinear a priori trace estimates for the 3D incompressible Navier-Stokes equation, which extend the current picture of higher derivative estimates in the mixed norm. The main ingredient is the blow-up method and a novel averaging operator, which could apply to PDEs with scaling invariance and $\varepsilon$-regularity, possibly with a drift.

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Jincheng Yang. 2023-08-18. Vorticity interior trace estimates and higher derivative estimates via blow-up method. https://doi.org/10.1016/j.jde.2025.113486

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