Global solutions to the Euler-Coriolis system
Analysis of PDEs
2024-08-14 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2405.18390,
title = {Global solutions to the Euler-Coriolis system},
author = {Xiao Ren and Gang Tian},
journal= {arXiv preprint arXiv:2405.18390},
year = {2024}
}
Comments
72 pages. We have improved the presentation, corrected some misprints and added some references