Liouville Theorem for 2D Navier-Stokes equations in Half Space

TL;DR

This paper proves a Liouville theorem for bounded ancient solutions of the 2D Navier-Stokes equations in a half-space, contributing to the understanding of solution behaviors in fluid dynamics.

Contribution

It establishes a Liouville theorem specifically for mild bounded ancient solutions in the half-space setting, a novel result in the analysis of 2D Navier-Stokes equations.

Findings

Liouville theorem holds for bounded ancient solutions in half-space

Characterizes solution behavior in 2D Navier-Stokes equations

Advances understanding of fluid flow in semi-infinite domains

Abstract

In the paper, a Liouville theorem for mild bounded ancient solutions to the 2D Navier-Stokes equations in half space has been proven.