The geometric structure of complex fluids F Gay-Balmaz, TS Ratiu Advances in Applied Mathematics 42 (2), 176-275, 2009 | 112 | 2009 |
Invariant higher-order variational problems F Gay-Balmaz, DD Holm, DM Meier, TS Ratiu, FX Vialard Communications in Mathematical Physics 309, 413-458, 2012 | 98 | 2012 |
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 | 76 | 2017 |
The momentum map representation of images M Bruveris, F Gay-Balmaz, DD Holm, TS Ratiu Journal of nonlinear science 21, 115-150, 2011 | 76 | 2011 |
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 | 67 | 2017 |
Koopman wavefunctions and classical–quantum correlation dynamics DI Bondar, F Gay-Balmaz, C Tronci Proceedings of the Royal Society A 475 (2229), 20180879, 2019 | 66 | 2019 |
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 | 57 | 2010 |
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 | 56 | 2015 |
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 | 51 | 2015 |
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 | 51 | 2011 |
Lagrange–Poincaré field equations DCP Ellis, F Gay-Balmaz, DD Holm, TS Ratiu Journal of Geometry and physics 61 (11), 2120-2146, 2011 | 49 | 2011 |
Clebsch optimal control formulation in mechanics F Gay-Balmaz, TS Ratiu Journal of Geometric Mechanics 3 (1), 41-79, 2011 | 49 | 2011 |
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 | 48 | 2018 |
From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective F Gay-Balmaz, H Yoshimura Entropy 21 (1), 8, 2018 | 46 | 2018 |
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 | 45 | 2014 |
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 | 43 | 2012 |
Reduced variational formulations in free boundary continuum mechanics F Gay-Balmaz, JE Marsden, TS Ratiu Journal of nonlinear science 22, 463-497, 2012 | 42 | 2012 |
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 | 41 | 2020 |
Dual pairs in fluid dynamics F Gay-Balmaz, C Vizman Annals of Global Analysis and Geometry 41, 1-24, 2012 | 39 | 2012 |