7 citations · 16 across the 16 of their papers we have counts for
5 papers · 1 filter
Variational principles for spin systems and the Kirchhoff rod
F. Gay-Balmaz, D. D. Holm, T. S. Ratiu
We obtain the affine Euler-Poincaré equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in…
The Geometric Structure of Complex Fluids
François Gay-Balmaz, Tudor S. Ratiu
This paper develops the theory of affine Euler-Poincaré and affine Lie-Poisson reductions and applies these processes to various examples of complex fluids, including Yang-Mills an…
Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and superfluids
François Gay-Balmaz, Tudor S. Ratiu
This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids. As a consequence of…
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids
François Gay-Balmaz, Tudor S. Ratiu
The Lagrangian and Hamiltonian structures for an ideal gauge-charged fluid are determined. Using a Kaluza-Klein point of view, the equations of motion are obtained by Lagrangian an…
Dynamics of charged molecular strands
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +2
Euler-Poincare equations are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary distributions of interacting ri…