François Gay-Balmaz
Orcid: 0000-0001-9411-1382
According to our database1,
François Gay-Balmaz
authored at least 55 papers
between 2009 and 2025.
Collaborative distances:
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Bibliography
2025
CoRR, September, 2025
CoRR, January, 2025
CLPNets: Coupled Lie-Poisson neural networks for multi-part Hamiltonian systems with symmetries.
Neural Networks, 2025
Structure-preserving and thermodynamically consistent finite element discretization for visco-resistive MHD with thermoelectric effect.
J. Comput. Phys., 2025
2024
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
Multiscale Model. Simul., 2024
Variational integrators for stochastic Hamiltonian systems on Lie groups: properties and convergence.
CoRR, 2024
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
2021
J. Comput. Appl. Math., 2021
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
Proceedings of the Geometric Science of Information - 6th International Conference, 2021
Proceedings of the Geometric Science of Information - 5th International Conference, 2021
Proceedings of the Geometric Science of Information - 6th International Conference, 2021
Proceedings of the Geometric Science of Information - 6th International Conference, 2021
Proceedings of the Geometric Science of Information - 5th International Conference, 2021
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
Proceedings of the Geometric Science of Information - 5th International Conference, 2021
Proceedings of the Geometric Science of Information - 5th International Conference, 2021
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
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
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
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
Proceedings of the Geometric Science of Information - Third International Conference, 2017
Proceedings of the Geometric Science of Information - Third International Conference, 2017
2016
2015
Numerische Mathematik, 2015
On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics.
J. Nonlinear Sci., 2015
Adv. Appl. Math., 2015
2014
Multisymplectic Lie group variational integrator for a geometrically exact beam in R3.
Commun. Nonlinear Sci. Numer. Simul., 2014
2013
Proceedings of the 51st Annual Allerton Conference on Communication, 2013
2012
J. Nonlinear Sci., 2012
2011
2009