Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data

TL;DR

This paper proves the global existence and uniqueness of solutions for the 3D rotating Navier-Stokes equations with highly oscillating initial data within a critical functional framework, advancing understanding of fluid dynamics under rotation.

Contribution

It establishes the first global well-posedness result for the 3D rotating Navier-Stokes equations with highly oscillating initial data in a critical space.

Findings

Global solutions exist for a class of highly oscillating initial data.

The results are valid within a critical functional framework.

The paper advances mathematical understanding of rotating fluid dynamics.

Abstract

In this paper, we prove the global well-posedness for the 3D rotating Navier-Stokes equations in the critical functional framework. Especially, this result allows to construct global solutions for a class of highly oscillating initial data.