3 papers
math.DG2024
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…
math.DG2022
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…
math.SG2016
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…