Global solutions to the Euler-Coriolis system

TL;DR

This paper proves global well-posedness and scattering for the 3D Euler-Coriolis system with small initial data, extending stability results to non-axisymmetric cases and generalizing previous work.

Contribution

It establishes the first global results for the Euler-Coriolis system in non-axisymmetric settings with small initial data.

Findings

Global well-posedness proven for small initial data

Asymptotic stability of rotational solutions shown

Extension of previous axisymmetric results to general setting

Abstract

We prove the global well-posedness and scattering for the 3D incompressible Euler-Coriolis system with sufficiently small, regular and suitably localized initial data. Equivalently, we obtain the asymptotic stability for "rigid body" rotational solutions to the pure Euler equations. This extends the recent work of Guo, Pausader and Widmayer to the general non-axisymmetric setting.