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math.AP2018★ 6 cited
Generalized compressible flows and solutions of the H(div) geodesic problem
Thomas Gallouët, Andrea Natale, François-Xavier Vialard
We study the geodesic problem on the group of diffeomorphism of a domain MRd, equipped with the H(div) metric. The geodesic equations coincide with the Camassa-Holm equati…
math.AP2018
Embedding Camassa-Holm equations in incompressible Euler
François-Xavier Vialard, Andrea Natale
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 equati…