Conditional Liouville theorems for the Navier-Stokes equations

2025/06/17 by Coiculescu, Matei P., Yang, Jincheng
#35B53 #35Q30 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.14533

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.

Citations

• Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier-Stokes Equation in ℝ³
• On Liouville type theorems for the steady Navier-Stokes equations in \Bbb R³
• On Divergence-free Drifts

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