Hyper-Kähler geometry and semi-geostrophic theory-Reference-Cited by-同舟云学术

Hyper-Kähler geometry and semi-geostrophic theory

Published:2009-10-07 Issue:2113 Volume:466 Page:195-211
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Delahaies Sylvain¹,Roulstone Ian¹

Affiliation:

1. Department of Mathematics, University of Surrey, Guildford GU2 7XH, UK

Abstract

We use the formalism of Monge–Ampère operators to study the geometric properties of the Monge–Ampère equations arising in semi-geostrophic (SG) theory and related models of geophysical fluid dynamics. We show how Kähler and hyper-Kähler structures arise, and the Legendre duality arising in SG theory is generalized to other models of nearly geostrophic flows.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2009.0139

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