A Liouville-type theorem for 3D stationary Navier–Stokes equations

Results in Applied Mathematics 2026 Open access

Read full text
Authors: Zixuan Shen, Deyi Ma
DOI: 10.1016/j.rinam.2025.100679
Cited by: 0
References: 12

Abstract

In this paper, we establish a Liouville-type theorem for smooth solutions of the stationary Navier–Stokes equations under a growth condition on the Lebesgue norms. Based on this condition, we prove a lemma analogous to the Poincaré-type inequality in the curl sense, which serves as a key tool in proving our main result.

Fields of Study & Subjects

Navier-Stokes equation solutions Stability and Controllability of Differential Equations Advanced Numerical Methods in Computational Mathematics

Publication details

Journal / source
Results in Applied Mathematics
Volume
29
Pages
100679–100679
Publication date
6 January 2026
Language
EN