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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
1012009
Invariant higher-order variational problems
F Gay-Balmaz, DD Holm, DM Meier, TS Ratiu, FX Vialard
Communications in Mathematical Physics 309, 413-458, 2012
852012
The momentum map representation of images
M Bruveris, F Gay-Balmaz, DD Holm, TS Ratiu
Journal of nonlinear science 21, 115-150, 2011
702011
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
70*2010
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
682017
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
542017
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
48*2015
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
482010
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
472015
Koopman wavefunctions and classical–quantum correlation dynamics
DI Bondar, F Gay-Balmaz, C Tronci
Proceedings of the Royal Society A 475 (2229), 20180879, 2019
442019
Lagrange–Poincaré field equations
DCP Ellis, F Gay-Balmaz, DD Holm, TS Ratiu
Journal of Geometry and physics 61 (11), 2120-2146, 2011
432011
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
422011
Clebsch optimal control formulation in mechanics
F Gay-Balmaz, TS Ratiu
J. Geom. Mech 3 (1), 41-79, 2011
412011
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
402014
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
382018
Understanding memristors and memcapacitors in engineering mechanics applications
JS Pei, JP Wright, MD Todd, SF Masri, F Gay-Balmaz
Nonlinear Dynamics 80, 457-489, 2015
362015
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
362012
Selective decay by Casimir dissipation in inviscid fluids
F Gay-Balmaz, DD Holm
Nonlinearity 26 (2), 495, 2013
352013
Reduced variational formulations in free boundary continuum mechanics
F Gay-Balmaz, JE Marsden, TS Ratiu
Journal of nonlinear science 22, 463-497, 2012
352012
Variational discretization for rotating stratified fluids
M Desbrun, ES Gawlik, F Gay-Balmaz, V Zeitlin
Discrete and Continuous Dynamical Systems 34 (2), 477-509, 2013
342013
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