Monge-Ampere Geometry and the Eady Problem
Mathematical Physics
2024-05-21 v2 math.MP
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.
Cite
@article{arxiv.2405.09218,
title = {Monge-Ampere Geometry and the Eady Problem},
author = {Roberto D'Onofrio and Giovanni Ortenzi and Ian Roulstone},
journal= {arXiv preprint arXiv:2405.09218},
year = {2024}
}