Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$

Matias G. Delgadino; Luca Melzi

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arXiv · 2509.16156

Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$

Matias G. Delgadino·Luca Melzi

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Abstract

We show that the degree-2 Rossby--Haurwitz travelling waves on the Euler equation on $\mathbb{S}^2$ are orbitally stable. Our proof is short, quantitative, and conceptually easy to follow.

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Matias G. Delgadino, Luca Melzi. 2025-09-19. Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$. https://arxiv.org/abs/2509.16156

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