46 citations · 123 across the 5 of their papers we have counts for
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math.DS2007★ 39 cited
Continuous and discrete Clebsch variational principles
C. J. Cotter, D. D. Holm
The Clebsch method provides a unifying approach for deriving variational principles for continuous and discrete dynamical systems where elements of a vector space are used to contr…
math.DS2007★ 46 cited
Multisymplectic formulation of fluid dynamics using the inverse map
C. J. Cotter, D. D. Holm, P. E. Hydon
We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map -- the ``back-to-labels'' map -- gives the initial Lagran…
math.DS2005
Semi-geostrophic particle motion and exponentially accurate normal forms
Colin J Cotter, Sebastian Reich
We give an exponentially-accurate normal form for a Lagrangian particle moving in a rotating shallow-water system in the semi-geostrophic limit, which describes the motion in the r…