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

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.

20pages

References in corpus (3)

• Global well-posedness for the compressible Navier-Stokes equations with the highly oscillating initial velocity
• Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
• Well-posedness for the viscous shallow water equations in critical spaces