Liouville-type theorems for stationary Navier–Stokes equations with Lebesgue spaces of variable exponent
Year: 2025
Type: article
Abstract: In this article we study some Liouville-type theorems for the stationary 3D Navier–Stokes equations. These results are related to the uniqueness of weak solutions for this system under some additional information over the velocity field, which is usually stated in the literature in terms of Lebesgue, Morrey or \textit{BMO}^{-1} spaces. Here we will consider Lebesgue spaces of variable exponent which will provide us with some interesting flexibility.
Source: Documenta Mathematica
DOI: 10.4171/dm/1018
Authors: Diego Chamorro, Gastón Vergara-Hermosilla
Institution: Université d'Évry Val-d'Essonne
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413696708