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Mathematics > Analysis of PDEs

arXiv:1804.11080 (math)
[Submitted on 30 Apr 2018]

Title:Embedding Camassa-Holm equations in incompressible Euler

Authors:François-Xavier Vialard (MOKAPLAN), Andrea Natale (Inria, MOKAPLAN)
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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.
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
Cite as: arXiv:1804.11080 [math.AP]
  (or arXiv:1804.11080v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.11080

Submission history

From: Francois-Xavier Vialard [view email] [via CCSD proxy]
[v1] Mon, 30 Apr 2018 08:35:37 UTC (77 KB)
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