François Gay-Balmaz

Orcid: 0000-0001-9411-1382

According to our database1, François Gay-Balmaz authored at least 51 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Complex Fluid Models of Mixed Quantum-Classical Dynamics.
J. Nonlinear Sci., October, 2024

General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity.
J. Nonlinear Sci., June, 2024

Lie-Poisson Neural Networks (LPNets): Data-based computing of Hamiltonian systems with symmetries.
Neural Networks, 2024

\(\textit{KOOPMON}\) Trajectories in Nonadiabatic Quantum-Classical Dynamics.
Multiscale Model. Simul., 2024

CLPNets: Coupled Lie-Poisson Neural Networks for Multi-Part Hamiltonian Systems with Symmetries.
CoRR, 2024

A Discrete Exterior Calculus of Bundle-valued Forms.
CoRR, 2024

2023
Koopmon trajectories in nonadiabatic quantum-classical dynamics.
CoRR, 2023

2022
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids.
J. Nonlinear Sci., 2022

A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div <i>B</i> = 0.
J. Comput. Phys., 2022

Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids.
CoRR, 2022

Variational discretization of the Navier-Stokes-Fourier system.
CoRR, 2022

2021
On computing the analytic-signal backbone of the unforced harmonic oscillator.
J. Comput. Appl. Math., 2021

A Variational Finite Element Discretization of Compressible Flow.
Found. Comput. Math., 2021

Selective decay for the rotating shallow-water equations with a structure-preserving discretization.
CoRR, 2021

A structure-preserving finite element method for compressible ideal and resistive MHD.
CoRR, 2021

Multisymplectic variational integrators for barotropic and incompressible fluid models with constraints.
CoRR, 2021

Hamiltonian Variational Formulation for Non-simple Thermodynamic Systems.
Proceedings of the Geometric Science of Information - 6th International Conference, 2021

Dirac Structures in Thermodynamics of Non-simple Systems.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups.
Proceedings of the Geometric Science of Information - 6th International Conference, 2021

Lagrangian Trajectories and Closure Models in Mixed Quantum-Classical Dynamics.
Proceedings of the Geometric Science of Information - 6th International Conference, 2021

From Quantum Hydrodynamics to Koopman Wavefunctions II.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

Variational Geometric Description for Fluids with Permeable Boundaries.
Proceedings of the Geometric Science of Information - 6th International Conference, 2021

A Variational Perspective on the Thermodynamics of Non-isothermal Reacting Open Systems.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

From Quantum Hydrodynamics to Koopman Wavefunctions I.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

Multisymplectic Variational Integrators for Fluid Models with Constraints.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

Infinite Dimensional Lagrange-Dirac Mechanics with Boundary Conditions.
Proceedings of the Geometric Science of Information - 6th International Conference, 2021

2020
A conservative finite element method for the incompressible Euler equations with variable density.
J. Comput. Phys., 2020

Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics.
IMA J. Math. Control. Inf., 2020

Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics.
Entropy, 2020

A Finite Element Method for MHD that Preserves Energy, Cross-Helicity, Magnetic Helicity, Incompressibility, and div B = 0.
CoRR, 2020

Dirac Structures and Variational Formulation of Thermodynamics for Open Systems.
Proceedings of the Geometric Structures of Statistical Physics, Information Geometry, and Learning, 2020

2019
Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves.
J. Nonlinear Sci., 2019

From Lagrangian Mechanics to Nonequilibrium Thermodynamics: A Variational Perspective.
Entropy, 2019

Dirac Structures in Open Thermodynamics.
Proceedings of the Geometric Science of Information - 4th International Conference, 2019

From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems.
Proceedings of the Geometric Science of Information - 4th International Conference, 2019

Variational Discretization Framework for Geophysical Flow Models.
Proceedings of the Geometric Science of Information - 4th International Conference, 2019

2018
Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows.
J. Nonlinear Sci., 2018

A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer.
Entropy, 2018

2017
Dirac Structures in Nonequilbrium Thermodynamics.
Proceedings of the Geometric Science of Information - Third International Conference, 2017

A Variational Formulation for Fluid Dynamics with Irreversible Processes.
Proceedings of the Geometric Science of Information - Third International Conference, 2017

2016
On Noisy Extensions of Nonholonomic Constraints.
J. Nonlinear Sci., 2016

2015
Discrete variational Lie group formulation of geometrically exact beam dynamics.
Numerische Mathematik, 2015

On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics.
J. Nonlinear Sci., 2015

Dirac reduction for nonholonomic mechanical systems and semidirect products.
Adv. Appl. Math., 2015

2014
Multisymplectic Lie group variational integrator for a geometrically exact beam in R3.
Commun. Nonlinear Sci. Numer. Simul., 2014

2013
Double bracket flows, toda flows and rigid body toda.
Proceedings of the 51st Annual Allerton Conference on Communication, 2013

2012
Reduced Variational Formulations in Free Boundary Continuum Mechanics.
J. Nonlinear Sci., 2012

Invariant Higher-Order Variational Problems II.
J. Nonlinear Sci., 2012

Exact geometric theory of dendronized polymer dynamics.
Adv. Appl. Math., 2012

2011
The Momentum Map Representation of Images.
J. Nonlinear Sci., 2011

2009
The geometric structure of complex fluids.
Adv. Appl. Math., 2009


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