A. Natale

activity

20182020

D i f f ([0, 1])

with the

H 1

right-invariant metric

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math.AP2018

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 M $\subset$ Rd, 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…