79 citations · 763 across the 53 of their papers we have counts for
60 papers
Stochastic Geometrically Exact Beams: Continuous-Time Geometric Principles and Variational Discretizations
Minghang Du, François Gay-Balmaz, Tianzhi Li +1
Geometrically exact beams naturally arise in physical phenomena and engineering practice for modeling flexible structures, such as soft robotic manipulators and DNA structures. To…
Infinite-dimensional Lagrange-Dirac systems with boundary energy flow II: Field theories with bundle-valued forms
François Gay-Balmaz, Álvaro Rodríguez Abella, Hiroaki Yoshimura
Part I of this paper introduced the infinite dimensional Lagrange-Dirac theory for physical systems on the space of differential forms over a smooth manifold with boundary. This ap…
Systems, variational principles and interconnections in nonequilibrium thermodynamics
François Gay-Balmaz, Hiroaki Yoshimura
The paper investigates a systematic approach to modeling in nonequilibrium thermodynamics by focusing upon the notion of interconnections, where we propose a novel Lagrangian varia…
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids
Evan S. Gawlik, François Gay-Balmaz
Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of dynamical systems deliver physically relevant results. In this paper, we construct a str…
Dynamics of mixed quantum-classical spin systems
François Gay-Balmaz, Cesare Tronci
Mixed quantum-classical spin systems have been proposed in spin chain theory and, more recently, in magnon spintronics. However, current models of quantum-classical dynamics beyond…
Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach
François Gay-Balmaz, Hiroaki Yoshimura
Motivated by compartmental analysis in engineering and biophysical systems, we present a variational framework for the nonequilibrium thermodynamics of systems involving both distr…