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ORCIDFrançois Gay-Balmaz
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2020 – today
- 2024
[j25]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): 46 (2024)- [j24]François Gay-Balmaz, Cesare Tronci:
Complex Fluid Models of Mixed Quantum-Classical Dynamics. J. Nonlinear Sci. 34(5): 81 (2024) - [j23]Werner Bauer, Paul Bergold, François Gay-Balmaz, Cesare Tronci:
\(\textit{KOOPMON}\) Trajectories in Nonadiabatic Quantum-Classical Dynamics. Multiscale Model. Simul. 22(4): 1365-1401 (2024) - [j22]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: 106162 (2024) - [i14]Theo Braune, Yiying Tong, François Gay-Balmaz, Mathieu Desbrun:
A Discrete Exterior Calculus of Bundle-valued Forms. CoRR abs/2406.05383 (2024) - [i13]Christopher Eldred, François Gay-Balmaz, Vakhtang Putkaradze:
CLPNets: Coupled Lie-Poisson Neural Networks for Multi-Part Hamiltonian Systems with Symmetries. CoRR abs/2408.16160 (2024) - [i12]François Gay-Balmaz, Meng Wu:
Variational integrators for stochastic Hamiltonian systems on Lie groups: properties and convergence. CoRR abs/2412.19368 (2024) - 2023
- [i11]Christopher Eldred, François Gay-Balmaz, Sofiia Huraka, Vakhtang Putkaradze:
Lie-Poisson Neural Networks (LPNets): Data-Based Computing of Hamiltonian Systems with Symmetries. CoRR abs/2308.15349 (2023) - [i10]Werner Bauer, Paul Bergold, François Gay-Balmaz, Cesare Tronci:
Koopmon trajectories in nonadiabatic quantum-classical dynamics. CoRR abs/2312.13878 (2023) - 2022
- [j21]Evan S. Gawlik, François Gay-Balmaz:
A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0. J. Comput. Phys. 450: 110847 (2022) - [j20]François Demoures, François Gay-Balmaz:
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids. J. Nonlinear Sci. 32(6): 94 (2022) - [i9]Benjamin Couéraud, François Gay-Balmaz:
Variational discretization of the Navier-Stokes-Fourier system. CoRR abs/2202.03502 (2022) - [i8]Evan S. Gawlik, François Gay-Balmaz:
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids. CoRR abs/2211.08745 (2022) - 2021
- [j19]Evan S. Gawlik, François Gay-Balmaz:
A Variational Finite Element Discretization of Compressible Flow. Found. Comput. Math. 21(4): 961-1001 (2021) - [j18]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: 113206 (2021) - [c17]Álvaro Rodríguez Abella, François Gay-Balmaz, Hiroaki Yoshimura:
Infinite Dimensional Lagrange-Dirac Mechanics with Boundary Conditions. GSI (2) 2021: 202-211 - [c16]Meng Wu, François Gay-Balmaz:
Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups. GSI (2) 2021: 212-220 - [c15]Hiroaki Yoshimura, François Gay-Balmaz:
Hamiltonian Variational Formulation for Non-simple Thermodynamic Systems. GSI (2) 2021: 221-230 - [c14]François Gay-Balmaz, Meng Wu, Chris Eldred:
Variational Geometric Description for Fluids with Permeable Boundaries. GSI (2) 2021: 282-289 - [c13]François Demoures, François Gay-Balmaz:
Multisymplectic Variational Integrators for Fluid Models with Constraints. GSI 2021: 283-291 - [c12]Cesare Tronci, François Gay-Balmaz:
Lagrangian Trajectories and Closure Models in Mixed Quantum-Classical Dynamics. GSI (2) 2021: 290-300 - [c11]François Gay-Balmaz, Cesare Tronci:
From Quantum Hydrodynamics to Koopman Wavefunctions I. GSI 2021: 302-310 - [c10]Cesare Tronci, François Gay-Balmaz:
From Quantum Hydrodynamics to Koopman Wavefunctions II. GSI 2021: 311-319 - [c9]François Gay-Balmaz, Hiroaki Yoshimura:
A Variational Perspective on the Thermodynamics of Non-isothermal Reacting Open Systems. GSI 2021: 900-908 - [c8]Hiroaki Yoshimura, François Gay-Balmaz:
Dirac Structures in Thermodynamics of Non-simple Systems. GSI 2021: 918-925 - [i7]François Demoures, François Gay-Balmaz:
Multisymplectic variational integrators for barotropic and incompressible fluid models with constraints. CoRR abs/2102.10907 (2021) - [i6]Evan S. Gawlik, François Gay-Balmaz:
A structure-preserving finite element method for compressible ideal and resistive MHD. CoRR abs/2105.00785 (2021) - [i5]Rüdiger Brecht, Werner Bauer, Alexander Bihlo, François Gay-Balmaz, Scott P. MacLachlan:
Selective decay for the rotating shallow-water equations with a structure-preserving discretization. CoRR abs/2107.02072 (2021) - [i4]François Demoures, François Gay-Balmaz:
Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids. CoRR abs/2110.00412 (2021) - 2020
- [j17]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): 498 (2020) - [j16]François Gay-Balmaz, Hiroaki Yoshimura:
Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics. IMA J. Math. Control. Inf. 37(4): 1298-1347 (2020) - [j15]Evan S. Gawlik, François Gay-Balmaz:
A conservative finite element method for the incompressible Euler equations with variable density. J. Comput. Phys. 412: 109439 (2020) - [c7]Hiroaki Yoshimura, François Gay-Balmaz:
Dirac Structures and Variational Formulation of Thermodynamics for Open Systems. SPIGL 2020: 221-246 - [i3]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 abs/2012.04122 (2020)
2010 – 2019
- 2019
- [j14]François Gay-Balmaz, Hiroaki Yoshimura:
From Lagrangian Mechanics to Nonequilibrium Thermodynamics: A Variational Perspective. Entropy 21(1): 8 (2019) - [j13]François Gay-Balmaz, Vakhtang Putkaradze:
Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves. J. Nonlinear Sci. 29(2): 377-414 (2019) - [c6]Hiroaki Yoshimura, François Gay-Balmaz:
Dirac Structures in Open Thermodynamics. GSI 2019: 199-208 - [c5]François Gay-Balmaz, Hiroaki Yoshimura:
From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems. GSI 2019: 209-217 - [c4]Werner Bauer, François Gay-Balmaz:
Variational Discretization Framework for Geophysical Flow Models. GSI 2019: 523-531 - [i2]Evan S. Gawlik, François Gay-Balmaz:
A Variational Finite Element Discretization of Compressible Flow. CoRR abs/1910.05648 (2019) - [i1]Evan S. Gawlik, François Gay-Balmaz:
A Conservative Finite Element Method for the Incompressible Euler Equations with Variable Density. CoRR abs/1910.05707 (2019) - 2018
- [j12]François Gay-Balmaz, Hiroaki Yoshimura:
A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer. Entropy 20(3): 163 (2018) - [j11]François Gay-Balmaz, Darryl D. Holm:
Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows. J. Nonlinear Sci. 28(3): 873-904 (2018) - 2017
- [c3]François Gay-Balmaz, Hiroaki Yoshimura:
A Variational Formulation for Fluid Dynamics with Irreversible Processes. GSI 2017: 401-409 - [c2]Hiroaki Yoshimura, François Gay-Balmaz:
Dirac Structures in Nonequilbrium Thermodynamics. GSI 2017: 410-417 - 2016
- [j10]François Gay-Balmaz, Vakhtang Putkaradze:
On Noisy Extensions of Nonholonomic Constraints. J. Nonlinear Sci. 26(6): 1571-1613 (2016) - 2015
- [j9]François Gay-Balmaz, Hiroaki Yoshimura:
Dirac reduction for nonholonomic mechanical systems and semidirect products. Adv. Appl. Math. 63: 131-213 (2015) - [j8]François Gay-Balmaz, Vakhtang Putkaradze:
On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics. J. Nonlinear Sci. 25(4): 889-936 (2015) - [j7]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): 73-123 (2015) - 2014
- [j6]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): 3492-3512 (2014) - 2013
- [c1]Anthony M. Bloch, François Gay-Balmaz, Tudor S. Ratiu:
Double bracket flows, toda flows and rigid body toda. Allerton 2013: 1567-1572 - 2012
- [j5]François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze, Tudor S. Ratiu:
Exact geometric theory of dendronized polymer dynamics. Adv. Appl. Math. 48(4): 535-574 (2012) - [j4]François Gay-Balmaz, Jerrold E. Marsden, Tudor S. Ratiu:
Reduced Variational Formulations in Free Boundary Continuum Mechanics. J. Nonlinear Sci. 22(4): 463-497 (2012) - [j3]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): 553-597 (2012) - 2011
- [j2]Martins Bruveris, François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu:
The Momentum Map Representation of Images. J. Nonlinear Sci. 21(1): 115-150 (2011)
2000 – 2009
- 2009
- [j1]François Gay-Balmaz, Tudor S. Ratiu:
The geometric structure of complex fluids. Adv. Appl. Math. 42(2): 176-275 (2009)
Coauthor Index
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