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arXiv · 1804.11080

Embedding Camassa-Holm equations in incompressible Euler

François-Xavier Vialard·Andrea Natale
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Abstract

In this article, we show how to embed the so-called CH2 equations into the geodesic flow of the Hdiv metric in 2D, which, itself, can be embedded in the incompressible Euler equation of a non compact Riemannian manifold. The method consists in embedding the incompressible Euler equation with a potential term coming from classical mechanics into incompressible Euler of a manifold and seeing the CH2 equation as a particular case of such fluid dynamic equation.

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François-Xavier Vialard, Andrea Natale. 2018-04-30. Embedding Camassa-Holm equations in incompressible Euler. https://arxiv.org/abs/1804.11080

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