14 citations · 14 across the 3 of their papers we have counts for
4 papers
A Discrete Exterior Calculus of Bundle-valued Forms
Theo Braune, Yiying Tong, François Gay-Balmaz +1
The discretization of Cartan's exterior calculus of differential forms has been fruitful in a variety of theoretical and practical endeavors: from computational electromagnetics to…
Variational discretization of the Navier-Stokes-Fourier system
Benjamin Couéraud, François Gay-Balmaz
This paper presents the variational discretization of the compressible Navier-Stokes-Fourier system, in which the viscosity and the heat conduction terms are handled within the var…
Isotropic submanifolds and coadjoint orbits of the Hamiltonian group
François Gay-Balmaz, Cornelia Vizman
We describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms of a symplectic manifold by implementing symplectic reduction for the dual pair associat…
Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups
François Gay-Balmaz, Cesare Tronci, Cornelia Vizman
We formulate Euler-Poincaré equations on the Lie group Aut(P) of automorphisms of a principal bundle P. The corresponding flows are referred to as EPAut flows. We mainly focus on g…