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François Gay-Balmaz
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The geometric structure of complex fluids
F Gay-Balmaz, TS Ratiu
Advances in Applied Mathematics 42 (2), 176-275, 2009
1122009
Invariant higher-order variational problems
F Gay-Balmaz, DD Holm, DM Meier, TS Ratiu, FX Vialard
Communications in Mathematical Physics 309, 413-458, 2012
982012
A Lagrangian variational formulation for nonequilibrium thermodynamics. Part I: discrete systems
F Gay-Balmaz, H Yoshimura
Journal of Geometry and Physics 111, 169-193, 2017
762017
The momentum map representation of images
M Bruveris, F Gay-Balmaz, DD Holm, TS Ratiu
Journal of nonlinear science 21, 115-150, 2011
762011
Symmetry reduced dynamics of charged molecular strands
DCP Ellis, F Gay-Balmaz, DD Holm, V Putkaradze, TS Ratiu
Archive for rational mechanics and analysis 197, 811-902, 2010
73*2010
A Lagrangian variational formulation for nonequilibrium thermodynamics. Part II: continuum systems
F Gay-Balmaz, H Yoshimura
Journal of Geometry and Physics 111, 194-212, 2017
672017
Koopman wavefunctions and classical–quantum correlation dynamics
DI Bondar, F Gay-Balmaz, C Tronci
Proceedings of the Royal Society A 475 (2229), 20180879, 2019
662019
Reduction theory for symmetry breaking with applications to nematic systems
F Gay-Balmaz, C Tronci
Physica D: Nonlinear Phenomena 239 (20-22), 1929-1947, 2010
572010
Discrete variational Lie group formulation of geometrically exact beam dynamics
F Demoures, F Gay-Balmaz, S Leyendecker, S Ober-Blöbaum, TS Ratiu, ...
Numerische Mathematik 130, 73-123, 2015
562015
The geometry of the universal Teichmüller space and the Euler–Weil–Petersson equation
F Gay-Balmaz, TS Ratiu
Advances in Mathematics 279, 717-778, 2015
512015
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions
F Gay-Balmaz, DD Holm, TS Ratiu
Bulletin of the Brazilian Mathematical Society, New Series 42 (4), 579-606, 2011
512011
Lagrange–Poincaré field equations
DCP Ellis, F Gay-Balmaz, DD Holm, TS Ratiu
Journal of Geometry and physics 61 (11), 2120-2146, 2011
492011
Clebsch optimal control formulation in mechanics
F Gay-Balmaz, TS Ratiu
Journal of Geometric Mechanics 3 (1), 41-79, 2011
492011
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows
F Gay-Balmaz, DD Holm
Journal of nonlinear science 28, 873-904, 2018
482018
From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective
F Gay-Balmaz, H Yoshimura
Entropy 21 (1), 8, 2018
462018
Multisymplectic Lie group variational integrator for a geometrically exact beam in R3
F Demoures, F Gay-Balmaz, M Kobilarov, TS Ratiu
Communications in Nonlinear Science and Numerical Simulation 19 (10), 3492-3512, 2014
452014
Invariant higher-order variational problems II
F Gay-Balmaz, DD Holm, DM Meier, TS Ratiu, FX Vialard
Journal of Nonlinear Science 22, 553-597, 2012
432012
Reduced variational formulations in free boundary continuum mechanics
F Gay-Balmaz, JE Marsden, TS Ratiu
Journal of nonlinear science 22, 463-497, 2012
422012
Lie group cohomology and (multi) symplectic integrators: new geometric tools for Lie group machine learning based on Souriau geometric statistical mechanics
F Barbaresco, F Gay-Balmaz
Entropy 22 (5), 498, 2020
412020
Dual pairs in fluid dynamics
F Gay-Balmaz, C Vizman
Annals of Global Analysis and Geometry 41, 1-24, 2012
392012
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