46 citations · 123 across the 5 of their papers we have counts for
6 papers
Estimating eddy diffusivities from noisy Lagrangian observations
C. J. Cotter, G. A. Pavliotis
The problem of estimating the eddy diffusivity from Lagrangian observations in the presence of measurement error is studied in this paper. We consider a class of incompressible vel…
An Euler Poincaré framework for the multilayer Green Nagdhi equations
James R. Percival, Colin J. Cotter, Darryl D. Holm
The Green Nagdhi equations are frequently used as a model of the wave-like behaviour of the free surface of a fluid, or the interface between two homogeneous fluids of differing de…
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…
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…
The remapped particle-mesh advection scheme
Colin J. Cotter, Jason Frank, Sebastian Reich
We describe the remapped particle-mesh method, a new mass-conserving method for solving the density equation which is suitable for combining with semi-Lagrangian methods for compre…
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…