Asymptotic structure of steady Stokes flow around a rotating obstacle in two dimensions

TL;DR

This paper analyzes the asymptotic behavior of steady Stokes flow around a rotating obstacle in two dimensions, showing that rotation eliminates the classical Stokes paradox and clarifies flow structure at infinity.

Contribution

It establishes the asymptotic structure of steady Stokes flow around a rotating obstacle, demonstrating the absence of Stokes paradox due to rotation.

Findings

No Stokes paradox in rotating obstacle flow

Asymptotic flow structure characterized at infinity

Rotation alters classical flow behavior

Abstract

This paper provides asymptotic structure at spatial infinity of plane steady Stokes flow in exterior domains when the obstacle is rotating with constant angular velocity. The result shows that there is no longer Stokes paradox due to the rotating effect.