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<p>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.</p>

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Conditional Liouville theorems for the Navier–Stokes equations

  • 期刊论文

  • 发表日期：

    2025年12月6日

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  • Matei P. Coiculescu,
  • Jincheng Yang

摘要

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.