A Liouville-type theorem for 3D stationary Navier–Stokes equations
Year: 2026
Type: article
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.
Source: Results in Applied Mathematics
Authors: Zixuan Shen, Deyi Ma
Institution: China Three Gorges University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,770
OpenAlex ID: W7118840923