François Gay-Balmaz

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 43

Top Topics

Variational Formulation

Top Venues

J. Nonlinear Sci.

Publications

François Gay-Balmaz, Cesare Tronci
Complex Fluid Models of Mixed Quantum-Classical Dynamics. J. Nonlinear Sci. 34 (5) (2024)
Christopher Eldred, François Gay-Balmaz, Sofiia Huraka, Vakhtang Putkaradze
Lie-Poisson Neural Networks (LPNets): Data-based computing of Hamiltonian systems with symmetries. Neural Networks 173 (2024)
François Gay-Balmaz
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity. J. Nonlinear Sci. 34 (3) (2024)
Theo Braune, Yiying Tong, François Gay-Balmaz, Mathieu Desbrun
A Discrete Exterior Calculus of Bundle-valued Forms. CoRR (2024)
Werner Bauer, Paul Bergold, François Gay-Balmaz, Cesare Tronci
Koopmon trajectories in nonadiabatic quantum-classical dynamics. CoRR (2023)
Christopher Eldred, François Gay-Balmaz, Sofiia Huraka, Vakhtang Putkaradze
Lie-Poisson Neural Networks (LPNets): Data-Based Computing of Hamiltonian Systems with Symmetries. CoRR (2023)
François Demoures, François Gay-Balmaz
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids. J. Nonlinear Sci. 32 (6) (2022)
Evan S. Gawlik, François Gay-Balmaz
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids. CoRR (2022)
Evan S. Gawlik, François Gay-Balmaz
 = 0. J. Comput. Phys. 450 (2022)
Benjamin Couéraud, François Gay-Balmaz
Variational discretization of the Navier-Stokes-Fourier system. CoRR (2022)
François Demoures, François Gay-Balmaz
Multisymplectic Variational Integrators for Fluid Models with Constraints. GSI (2021)
Cesare Tronci, François Gay-Balmaz
From Quantum Hydrodynamics to Koopman Wavefunctions II. GSI (2021)
François Gay-Balmaz, Cesare Tronci
From Quantum Hydrodynamics to Koopman Wavefunctions I. GSI (2021)
Evan S. Gawlik, François Gay-Balmaz
A Variational Finite Element Discretization of Compressible Flow. Found. Comput. Math. 21 (4) (2021)
François Demoures, François Gay-Balmaz
Multisymplectic variational integrators for barotropic and incompressible fluid models with constraints. CoRR (2021)
Hiroaki Yoshimura, François Gay-Balmaz
Hamiltonian Variational Formulation for Non-simple Thermodynamic Systems. GSI (2) (2021)
François Gay-Balmaz, Meng Wu, Chris Eldred
Variational Geometric Description for Fluids with Permeable Boundaries. GSI (2) (2021)
Álvaro Rodríguez Abella, François Gay-Balmaz, Hiroaki Yoshimura
Infinite Dimensional Lagrange-Dirac Mechanics with Boundary Conditions. GSI (2) (2021)
Hiroaki Yoshimura, François Gay-Balmaz
Dirac Structures in Thermodynamics of Non-simple Systems. GSI (2021)
Cesare Tronci, François Gay-Balmaz
Lagrangian Trajectories and Closure Models in Mixed Quantum-Classical Dynamics. GSI (2) (2021)
Evan S. Gawlik, François Gay-Balmaz
A structure-preserving finite element method for compressible ideal and resistive MHD. CoRR (2021)
Rüdiger Brecht, Werner Bauer, Alexander Bihlo, François Gay-Balmaz, Scott MacLachlan
Selective decay for the rotating shallow-water equations with a structure-preserving discretization. CoRR (2021)
Joseph P. Wright, Peng F. Tang, Jin-Song Pei, François Gay-Balmaz, Joseph P. Havlicek
On computing the analytic-signal backbone of the unforced harmonic oscillator. J. Comput. Appl. Math. 385 (2021)
Meng Wu, François Gay-Balmaz
Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups. GSI (2) (2021)
François Demoures, François Gay-Balmaz
Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids. CoRR (2021)
François Gay-Balmaz, Hiroaki Yoshimura
A Variational Perspective on the Thermodynamics of Non-isothermal Reacting Open Systems. GSI (2021)
François Gay-Balmaz, Hiroaki Yoshimura
Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics. IMA J. Math. Control. Inf. 37 (4) (2020)
Hiroaki Yoshimura, François Gay-Balmaz
Dirac Structures and Variational Formulation of Thermodynamics for Open Systems. SPIGL (2020)
Evan S. Gawlik, François Gay-Balmaz
A Finite Element Method for MHD that Preserves Energy, Cross-Helicity, Magnetic Helicity, Incompressibility, and div B = 0. CoRR (2020)
Frédéric Barbaresco, François Gay-Balmaz
Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics. Entropy 22 (5) (2020)
Evan S. Gawlik, François Gay-Balmaz
A conservative finite element method for the incompressible Euler equations with variable density. J. Comput. Phys. 412 (2020)
François Gay-Balmaz, Vakhtang Putkaradze
Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves. J. Nonlinear Sci. 29 (2) (2019)
François Gay-Balmaz, Hiroaki Yoshimura
From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems. GSI (2019)
Hiroaki Yoshimura, François Gay-Balmaz
Dirac Structures in Open Thermodynamics. GSI (2019)
Evan S. Gawlik, François Gay-Balmaz
A Conservative Finite Element Method for the Incompressible Euler Equations with Variable Density. CoRR (2019)
Werner Bauer, François Gay-Balmaz
Variational Discretization Framework for Geophysical Flow Models. GSI (2019)
Evan S. Gawlik, François Gay-Balmaz
A Variational Finite Element Discretization of Compressible Flow. CoRR (2019)
François Gay-Balmaz, Hiroaki Yoshimura
From Lagrangian Mechanics to Nonequilibrium Thermodynamics: A Variational Perspective. Entropy 21 (1) (2019)
François Gay-Balmaz, Hiroaki Yoshimura
A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer. Entropy 20 (3) (2018)
François Gay-Balmaz, Darryl D. Holm
Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows. J. Nonlinear Sci. 28 (3) (2018)
François Gay-Balmaz, Hiroaki Yoshimura
A Variational Formulation for Fluid Dynamics with Irreversible Processes. GSI (2017)
Hiroaki Yoshimura, François Gay-Balmaz
Dirac Structures in Nonequilbrium Thermodynamics. GSI (2017)
François Gay-Balmaz, Vakhtang Putkaradze
On Noisy Extensions of Nonholonomic Constraints. J. Nonlinear Sci. 26 (6) (2016)
François Demoures, François Gay-Balmaz, Sigrid Leyendecker, Sina Ober-Blöbaum, Tudor S. Ratiu, Yves Weinand
Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik 130 (1) (2015)
François Gay-Balmaz, Hiroaki Yoshimura
Dirac reduction for nonholonomic mechanical systems and semidirect products. Adv. Appl. Math. 63 (2015)
François Gay-Balmaz, Vakhtang Putkaradze
On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics. J. Nonlinear Sci. 25 (4) (2015)
François Demoures, François Gay-Balmaz, Marin Kobilarov, Tudor S. Ratiu
Multisymplectic Lie group variational integrator for a geometrically exact beam in R3. Commun. Nonlinear Sci. Numer. Simul. 19 (10) (2014)
Anthony M. Bloch, François Gay-Balmaz, Tudor S. Ratiu
Double bracket flows, toda flows and rigid body toda. Allerton (2013)
François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze, Tudor S. Ratiu
Exact geometric theory of dendronized polymer dynamics. Adv. Appl. Math. 48 (4) (2012)
François Gay-Balmaz, Darryl D. Holm, David M. Meier, Tudor S. Ratiu, François-Xavier Vialard
Invariant Higher-Order Variational Problems II. J. Nonlinear Sci. 22 (4) (2012)
François Gay-Balmaz, Jerrold E. Marsden, Tudor S. Ratiu
Reduced Variational Formulations in Free Boundary Continuum Mechanics. J. Nonlinear Sci. 22 (4) (2012)
Martins Bruveris, François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu
The Momentum Map Representation of Images. J. Nonlinear Sci. 21 (1) (2011)
François Gay-Balmaz, Tudor S. Ratiu
The geometric structure of complex fluids. Adv. Appl. Math. 42 (2) (2009)