Increased lifespan for 3D compressible Euler flows with rotation
Analysis of PDEs
2026-04-13 v2
Abstract
We consider the compressible Euler equation with a Coriolis term and prove a lower bound on the time of existence of solutions in terms of the speed of rotation, sound speed and size of the initial data. Along the way, we obtain precise dispersive decay estimates for the linearized equation. In the incompressible limit, this improves current bounds for the incompressible Euler-Coriolis system as well.
Cite
@article{arxiv.2509.20505,
title = {Increased lifespan for 3D compressible Euler flows with rotation},
author = {Haram Ko and Benoit Pausader and Ryo Takada and Klaus Widmayer},
journal= {arXiv preprint arXiv:2509.20505},
year = {2026}
}
Comments
Reinforced the introduction and fixed some typos. Changed the notation for $P_{k,p,l}$, etc. and the case name for one of the stationary phase theorems