The rotating periodic, spiral-like almost periodic and spiral-like almost automorphic solutions of Navier-Stokes equations with the Coriolis force

TL;DR

This paper proves the existence and uniqueness of various complex solutions, including rotating periodic and spiral-like almost automorphic solutions, for Navier-Stokes equations with Coriolis force under small external forces.

Contribution

It introduces new classes of solutions for Navier-Stokes equations incorporating Coriolis effects, extending the understanding of their long-term behavior.

Findings

Existence of rotating periodic solutions

Uniqueness of spiral-like almost automorphic solutions

Solutions under small external forces

Abstract

We consider the spatio-temporal periodic problem for the Navier-Stokes equations with a small external force in the rotational framework. We prove the existence and uniqueness of the rotating periodic, spiral-like almost periodic and spiral-like almost automorphic solutions of Navier-Stokes equations with the Coriolis force.