7 citations · 16 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
A Class of Integrable Geodesic Flows on the Symplectic Group and the Symmetric Matrices
Anthony M. Bloch, Arieh Iserles, Jerrold E. Marsden +1
This paper shows that the left-invariant geodesic flow on the symplectic group relative to the Frobenius metric is an integrable system that is not contained in the Mishchenko-Fome…