Ancient Solutions to Navier-Stokes Equations in Half Space

TL;DR

This paper investigates ancient solutions to the Navier-Stokes equations specifically in a half-space setting, aiming to understand their properties and behavior.

Contribution

It provides new insights into the properties of ancient solutions to Navier-Stokes equations in half-space, a less explored geometric setting.

Findings

Characterization of ancient solutions in half-space

Identification of unique properties in this setting

Potential implications for fluid dynamics theory

Abstract

The goal of the paper is to understand properties of the so-called ancient (backward) solutions to the Navier-Stokes equations. We focus on the case of the half space.