Quantitative Stability of the Rossby–Haurwitz Waves of Degree 2 for the Euler Equation on \({\mathbb{S}^2}\)
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.
Authors
- Matías G. Delgadino (ORCID: https://orcid.org/0000-0002-6897-1060)
- Luca Melzi (ORCID: https://orcid.org/0009-0007-4742-6753)
Institutions
- Imperial College London (GB)
- The University of Texas at Austin (US)
Publication Details
- Journal
- SIAM Journal on Mathematical Analysis
- Published
- 2026-10-20
- DOI
- https://doi.org/10.1137/25m1812063
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00