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arXiv · 2405.09218

Monge-Ampere Geometry and the Eady Problem

Roberto D'Onofrio·Giovanni Ortenzi·Ian Roulstone
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Abstract

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.

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Roberto D'Onofrio, Giovanni Ortenzi, Ian Roulstone. 2024-05-15. Monge-Ampere Geometry and the Eady Problem. https://arxiv.org/abs/2405.09218

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