16 citations · 45 across the 21 of their papers we have counts for
23 papers
A variational formulation of stochastic thermodynamics: Spatially extended systems
Héctor Vaquero del Pino, François Gay-Balmaz, Hiroaki Yoshimura +1
Stochastic field theories are often constructed phenomenologically, without a systematic assessment of thermodynamic consistency or local detailed balance. This may hinder a physic…
Variational Principles for Shock Dynamics in Compressible Euler Flows
François Gay-Balmaz, Cheng Yang
Hamilton's principle plays a central role in fluid mechanics as a fundamental tool for deriving governing equations, analyzing conservation laws, and designing structure-preserving…
Variational formulation of a general dissipative fluid system with differential forms
Bastien Manach-Pérennou, François Gay-Balmaz
This work is devoted to the study of dissipative fluid systems, through the lens of a geometric variational formulation. Building upon previous works extending Hamilton's principle…
Variational Neural Networks for Observable Thermodynamics (V-NOTS)
Christopher Eldred, François Gay-Balmaz, Vakhtang Putkaradze
Much attention has recently been devoted to data-based computing of evolution of physical systems. In such approaches, information about data points from past trajectories in phase…
Structure-preserving and thermodynamically consistent finite element discretization for visco-resistive MHD with thermoelectric effect
Evan S. Gawlik, François Gay-Balmaz, Bastien Manach-Pérennou
We present a structure-preserving and thermodynamically consistent numerical scheme for classical magnetohydrodynamics, incorporating viscosity, magnetic resistivity, heat transfer…
Infinite-dimensional Lagrange-Dirac systems with boundary energy flow I: Foundations
François Gay-Balmaz, Álvaro Rodríguez Abella, Hiroaki Yoshimura
A new geometric approach to systems with boundary energy flow is developed using infinite-dimensional Dirac structures within the Lagrangian formalism. This framework satisfies a l…