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
922009
Invariant higher-order variational problems
F Gay-Balmaz, DD Holm, DM Meier, TS Ratiu, FX Vialard
Communications in Mathematical Physics 309 (2), 413-458, 2012
712012
The momentum map representation of images
M Bruveris, F Gay-Balmaz, DD Holm, TS Ratiu
Journal of nonlinear science 21 (1), 115-150, 2011
632011
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 (3), 811-902, 2010
60*2010
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
432010
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
392011
Clebsch optimal control formulation in mechanics
F Gay-Balmaz, TS Ratiu
J. Geom. Mech 3 (1), 41-79, 2011
392011
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
37*2015
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
362017
Lagrange–Poincaré field equations
DCP Ellis, F Gay-Balmaz, DD Holm, TS Ratiu
Journal of Geometry and physics 61 (11), 2120-2146, 2011
352011
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
312017
Dual pairs in fluid dynamics
F Gay-Balmaz, C Vizman
Annals of Global Analysis and Geometry 41 (1), 1-24, 2012
312012
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 (1), 73-123, 2015
292015
A new Lagrangian dynamic reduction in field theory
F Gay-Balmaz, TS Ratiu
Annales de l'Institut Fourier 60 (3), 1125-1160, 2010
292010
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
282014
Variational discretization for rotating stratified fluids
M Desbrun, ES Gawlik, F Gay-Balmaz, V Zeitlin
Discrete & Continuous Dynamical Systems-A 34 (2), 477, 2014
282014
Invariant higher-order variational problems II
F Gay-Balmaz, DD Holm, DM Meier, TS Ratiu, FX Vialard
Journal of Nonlinear Science 22 (4), 553-597, 2012
282012
Reduced variational formulations in free boundary continuum mechanics
F Gay-Balmaz, JE Marsden, TS Ratiu
Journal of nonlinear science 22 (4), 463-497, 2012
272012
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows
F Gay-Balmaz, DD Holm
Journal of nonlinear science 28 (3), 873-904, 2018
262018
Selective decay by Casimir dissipation in inviscid fluids
F Gay-Balmaz, DD Holm
Nonlinearity 26 (2), 495, 2013
262013
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