Gay-Balmaz, François

1. A Finite Element Method for MHD that Preserves Energy, Cross-Helicity, Magnetic Helicity, Incompressibility, and div B = 0
   2020/12/08 by Evan S. Gawlik, Gawlik, Evan S., François Gay–Balmaz +1 · 3 citations
   Engineering · Physics and Astronomy · #65M60 #76M10 #76W05 #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Magnetic confinement fusion research #Numerical Analysis (math.NA) #Solar and Space Plasma Dynamics
2. A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system
   2017/06/26 by François Gay–Balmaz, Hiroaki Yoshimura, Gay-Balmaz, François +1 · 3 citations
   Engineering · #Dynamical Systems (math.DS) #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Thermoelastic and Magnetoelastic Phenomena
3. Hamiltonian variational formulation for nonequilibrium thermodynamics of simple closed systems
   2022/04/02 by Hiroaki Yoshimura, Yoshimura, Hiroaki, François Gay–Balmaz +1 · 3 citations
   Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #37D35 #37J60 #70H45 #74A15 #ATP Synthase and ATPases Research #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #FOS: Physical sciences #Mathematical Physics (math-ph)
4. From variational to bracket formulations in nonequilibrium thermodynamics of simple systems
   2019/04/11 by François Gay–Balmaz, Hiroaki Yoshimura, Gay-Balmaz, François +1 · 2 citations
   Physics and Astronomy · Engineering · #Advanced Thermodynamics and Statistical Mechanics #Phase Equilibria and Thermodynamics #Hydrocarbon exploration and reservoir analysis
5. A Variational Finite Element Discretization of Compressible Flow
   2019/10/12 by Gawlik, Evan S., Gay-Balmaz, François · 2 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
6. General relativistic Lagrangian continuum theories -- Part I: reduced variational principles and junction conditions for hydrodynamics and elasticity
   2022/02/14 by François Gay–Balmaz, Gay-Balmaz, François · 2 citations
   Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
7. Lie-Poisson Neural Networks (LPNets): Data-Based Computing of Hamiltonian Systems with Symmetries
   2023/08/29 by Eldred, Christopher, Gay-Balmaz, François, Huraka, Sofiia +1 · 3 citations
   #65L05 #70H15 #FOS: Computer and information sciences #FOS: Physical sciences #I.2.6 #I.6.1 #Machine Learning (cs.LG) #Mathematical Physics (math-ph)
8. Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations
   2017/11/28 by Bauer, Werner, Gay-Balmaz, François · 1 citation
   #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
9. Variational discretization of thermodynamical simple systems on Lie groups
   2018/06/26 by Couéraud, Benjamin, Gay-Balmaz, François · 1 citation
   #Dynamical Systems (math.DS) #FOS: Mathematics
10. Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids
    2022/11/16 by Evan S. Gawlik, Gawlik, Evan S., François Gay–Balmaz +1 · 2 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
11. Multisymplectic variational integrators for barotropic and incompressible fluid models with constraints
    2021/02/22 by François Demoures, François Gay–Balmaz, Demoures, François +1 · 1 citation
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Numerical Analysis (math.NA) #Numerical methods for differential equations
12. A Variational Principle for Extended Irreversible Thermodynamics: Heat Conducting Viscous Fluids
    2025/02/24 by Gay-Balmaz, François · 1 citation
    #Classical Physics (physics.class-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)
13. Geometric, Variational, and Bracket Descriptions of Fluid Motion with Open Boundaries
    2024/09/20 by Eldred, Christopher, Gay-Balmaz, François, Wu, Meng · 1 citation
    #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
14. Systems, variational principles and interconnections in nonequilibrium thermodynamics
    2023/06/21 by Gay-Balmaz, François, Yoshimura, Hiroaki · 1 citation
    #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)
15. Variational geometric approach to the thermodynamics of porous media
    2021/07/09 by François Gay–Balmaz, Gay-Balmaz, François, Vakhtang Putkaradze +1 · 1 citation
    Engineering · Materials Science · #Chaotic Dynamics (nlin.CD) #Control and Stability of Dynamical Systems #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena