On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains

TL;DR

This paper characterizes the dominant behavior of steady Navier-Stokes solutions at large distances in 3D exterior domains, providing insights into their asymptotic structure.

Contribution

It identifies the leading term governing the large-distance asymptotics of steady solutions in 3D exterior domains with vanishing velocity.

Findings

Determines the main asymptotic term at infinity.

Provides a mathematical description of decay rates.

Enhances understanding of fluid flow behavior at large scales.

Abstract

We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.