Wiener Algebras Methods for Liouville Theorems on the Stationary Navier-Stokes System

TL;DR

This paper establishes Liouville theorems for the stationary Navier-Stokes equations by analyzing low frequency solutions through Wiener algebra techniques, offering new insights into fluid dynamics.

Contribution

It introduces novel Liouville theorems for stationary Navier-Stokes systems using Wiener algebra methods to analyze low frequency behaviors.

Findings

Liouville theorems for stationary Navier-Stokes proved under new conditions

Sufficient conditions on low frequency solutions established

Application of Wiener algebra properties to fluid equations

Abstract

We prove some Liouville theorems for the stationary Navier-Stokes system for incompressible fluids. We provide some sufficient conditions on the low frequency part of the solution, using some properties of classical singular integrals with respect to Wiener algebras.