229 citations · 297 across the 3 of their papers we have counts for
3 papers
math.DG1999★ 48 cited
Second-order multisymplectic field theory: A variational approach to second-order multisymplectic field theory
Shinar Kouranbaeva, Steve Shkoller
This paper presents a geometric-variational approach to continuous and discrete {\it second-order} field theories following the methodology of \cite{MPS}. Staying entirely in the L…
chao-dyn1999★ 20 cited
A Nonlinear Analysis of the Averaged Euler Equations
Darryl D. Holm, Shinar Kouranbaeva, Jerrold E. Marsden +2
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…
math-ph1998★ 229 cited
The Camassa-Holm equation as a geodesic flow on the diffeomorphism group
Shinar Kouranbaeva
Misiolek has shown that the Camassa-Holm (CH) equation is a geodesic flow on the Bott-Virasoro group. In this paper it is shown that the Camassa-Holm equation for the case is…