Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$
Analysis of PDEs
2025-09-22 v1
Abstract
We show that the degree-2 Rossby--Haurwitz travelling waves on the Euler equation on are orbitally stable. Our proof is short, quantitative, and conceptually easy to follow.
Cite
@article{arxiv.2509.16156,
title = {Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$},
author = {Matias G. Delgadino and Luca Melzi},
journal= {arXiv preprint arXiv:2509.16156},
year = {2025}
}
Comments
16 pages