DOI: 10.1137/25m1812063 ISSN: 0036-1410

Quantitative Stability of the Rossby–Haurwitz Waves of Degree 2 for the Euler Equation on \({\mathbb{S}^2}\)

Matias G. Delgadino, Luca Melzi

Abstract.

We show that the degree-2 Rossby–Haurwitz traveling waves on the Euler equation on [Formula: see text] are orbitally stable. Our proof is short, quantitative, and conceptually easy to follow.

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