Conditional Liouville theorems for the Navier-Stokes equations
Analysis of PDEs
2025-12-09 v2
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.
Keywords
Cite
@article{arxiv.2506.14533,
title = {Conditional Liouville theorems for the Navier-Stokes equations},
author = {Matei P. Coiculescu and Jincheng Yang},
journal= {arXiv preprint arXiv:2506.14533},
year = {2025}
}
Comments
31 pages, 1 figure