Monge-Ampere Geometry and the Eady Problem
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917669843763200 |
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| author | D'Onofrio, Roberto Ortenzi, Giovanni Roulstone, Ian |
| author_facet | D'Onofrio, Roberto Ortenzi, Giovanni Roulstone, Ian |
| contents | Chynoweth and Sewell proposed a mathematical model for an atmospheric front based on the singularities of the Legendre transformation between different pairs of dual variables. Drawing inspiration from their work, we formalize the idea of a Chynoweth-Sewell front and illuminate its geometrical meaning from the viewpoint of Monge-Ampere geometry. This extends our previous work on the semigeostrophic model to dynamically-forming singularities. We use the notion of a Chynoweth-Sewell front to characterize the classical Eady problem and its known solutions in geometrical terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monge-Ampere Geometry and the Eady Problem D'Onofrio, Roberto Ortenzi, Giovanni Roulstone, Ian Mathematical Physics Chynoweth and Sewell proposed a mathematical model for an atmospheric front based on the singularities of the Legendre transformation between different pairs of dual variables. Drawing inspiration from their work, we formalize the idea of a Chynoweth-Sewell front and illuminate its geometrical meaning from the viewpoint of Monge-Ampere geometry. This extends our previous work on the semigeostrophic model to dynamically-forming singularities. We use the notion of a Chynoweth-Sewell front to characterize the classical Eady problem and its known solutions in geometrical terms. |
| title | Monge-Ampere Geometry and the Eady Problem |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2405.09218 |