On the two-dimensional steady Navier-Stokes equations related to flows around a rotating obstacle

TL;DR

This paper investigates the two-dimensional steady Navier-Stokes equations with rotation in the entire space, establishing existence and asymptotic behavior of solutions without requiring the rotation to be small.

Contribution

It provides new results on the existence and asymptotic properties of solutions to rotating Navier-Stokes equations without smallness constraints on the rotation parameter.

Findings

Unique existence of solutions established.

Asymptotic behavior characterized.

No smallness assumption on rotation parameter needed.

Abstract

We study the two-dimensional stationary Navier-Stokes equations with rotating effect in the whole space. The unique existence and the asymptotics of solutions are obtained without the smallness assumption on the rotation parameter.