A Nonlinear Analysis of the Averaged Euler Equations

This paper develops the geometry and analysis of the averaged Euler equations for ideal incompressible flow in domains in Euclidean space and on Riemannian manifolds, possibly with boundary. The averaged Euler equations involve a parameter $\alpha$; one interpretation is that they are obtained by en...

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Detalhes bibliográficos
Main Authors: Holm, D, Kouranbaeva, S, Marsden, J, Ratiu, T, Shkoller, S
Formato: Journal article
Publicado em: 1999