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arXiv · 2506.14533

Conditional Liouville theorems for the Navier-Stokes equations

Matei P. Coiculescu·Jincheng Yang
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Abstract

We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assumptions on the antiderivative of the velocity that represent substantial improvements on what was heretofore known.

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Matei P. Coiculescu, Jincheng Yang. 2025-06-17. Conditional Liouville theorems for the Navier-Stokes equations. https://doi.org/10.1007/s00526-025-03196-y

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