Instability of the halocline at the North Pole
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914456947130368 |
|---|---|
| author | Puntini, Christian |
| author_facet | Puntini, Christian |
| contents | In this paper we address the issue of stability for the near-inertial Pollard waves, as a model for the halocline in the region of the Arctic Ocean centered around the North Pole, derived in Puntini (2026). Adopting the short-wavelength instability approach, the stability of such flows reduces to study the stability of a system of ODEs along fluid trajectories, leading to the result that, when the steepness of the near-inertial Pollard waves exceeds a specific threshold, those waves are linearly unstable. The explicit dispersion relation of the model allows to easily compute such threshold, knowing the physical properties of the water column. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21378 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Instability of the halocline at the North Pole Puntini, Christian Geophysics Mathematical Physics Analysis of PDEs Atmospheric and Oceanic Physics Fluid Dynamics 35Q31, 76B15, 76B55, 76U60, 76E20, 35B99 In this paper we address the issue of stability for the near-inertial Pollard waves, as a model for the halocline in the region of the Arctic Ocean centered around the North Pole, derived in Puntini (2026). Adopting the short-wavelength instability approach, the stability of such flows reduces to study the stability of a system of ODEs along fluid trajectories, leading to the result that, when the steepness of the near-inertial Pollard waves exceeds a specific threshold, those waves are linearly unstable. The explicit dispersion relation of the model allows to easily compute such threshold, knowing the physical properties of the water column. |
| title | Instability of the halocline at the North Pole |
| topic | Geophysics Mathematical Physics Analysis of PDEs Atmospheric and Oceanic Physics Fluid Dynamics 35Q31, 76B15, 76B55, 76U60, 76E20, 35B99 |
| url | https://arxiv.org/abs/2509.21378 |