Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on \mathbbS²

2025/09/19 by Delgadino, Matias G., Melzi, Luca · 2 citations
#35Q35 #76B47 #86A10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.16156

Abstract

We show that the degree-2 Rossby--Haurwitz travelling waves on the Euler equation on \mathbbS² are orbitally stable. Our proof is short, quantitative, and conceptually easy to follow.

Citations

• The onset of instability for zonal stratospheric flows
• Stability of degree-2 Rossby-Haurwitz waves
• Nonlinear stability of sinusoidal Euler flows on a flat two-torus
• Relation between variations in the intensity of the zonal circulation of the atmosphere and the displacements of the semi-permanent centers of action

Cited by

• Dynamics of Ideal Fluid Flows
• Quantitative stability of a class of explicit steady Euler flows in a disk

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