François Gay-Balmaz

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Tudor RatiuProfessor of Mathematics, Ecole Polytechnique Federale de LausanneVerified email at epfl.ch
Yoshimura HiroakiWaseda UniversityVerified email at waseda.jp
Darryl D HolmProfessor of Mathematics, Imperial College LondonVerified email at ic.ac.uk
Cesare TronciUniversity of Surrey, Guildford, UKVerified email at surrey.ac.uk
Vakhtang PutkaradzeDepartment of Mathematical and Statistical Sciences, University of AlbertaVerified email at ualberta.ca
Cornelia VizmanWest University of Timisoara, RomaniaVerified email at e-uvt.ro
Evan GawlikSanta Clara UniversityVerified email at scu.edu
Jin-Song PeiUniversity of OklahomaVerified email at ou.edu
Werner BauerUniversity of SurreyVerified email at surrey.ac.uk
Michael ToddProfessor of Structural Engineering, University of California San DiegoVerified email at ucsd.edu
Martins BruverisLecturer, Brunel University LondonVerified email at brunel.ac.uk
David M. MeierAXA SwitzerlandVerified email at axa.ch
Sami F. MasriProfessor of Civil and Environmental Engineering, University of Southern CaliforniaVerified email at usc.edu
Mathieu DesbrunInria & Ecole PolytechniqueVerified email at inria.fr
Sina Ober-BlöbaumUniversity of OxfordVerified email at eng.ox.ac.uk
Anthony BlochUniversity of MIchiganVerified email at umich.edu
Yves WeinandProfessor, Laboratory for Timber Constructions, École Polytechnique Fédérale de Lausanne (EPFL)Verified email at epfl.ch
Denys I. BondarAssociate Professor, Department of Physics and Engineering Physics, Tulane UniversityVerified email at tulane.edu
Alex BihloDepartment of Mathematics and Statistics, Memorial University of NewfoundlandVerified email at mun.ca
Scott MacLachlanProfessor, Memorial University of NewfoundlandVerified email at mun.ca

François Gay-Balmaz

Nanyang Technological University

Verified email at ntu.edu.sg - Homepage

Continuum mechanics Geometric mechanics Geometric integration Non-equilibrium thermodynamics


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
The geometric structure of complex fluids F Gay-Balmaz, TS Ratiu Advances in Applied Mathematics 42 (2), 176-275, 2009	117	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	103	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	84	2017
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	80	2017
The momentum map representation of images M Bruveris, F Gay-Balmaz, DD Holm, TS Ratiu Journal of nonlinear science 21, 115-150, 2011	80	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	77*	2010
Koopman wavefunctions and classical–quantum correlation dynamics DI Bondar, F Gay-Balmaz, C Tronci Proceedings of the Royal Society A 475 (2229), 20180879, 2019	76	2019
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	66	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	59	2010
From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective F Gay-Balmaz, H Yoshimura Entropy 21 (1), 8, 2018	56	2018
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	56	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	53	2011
Clebsch optimal control formulation in mechanics F Gay-Balmaz, TS Ratiu Journal of Geometric Mechanics 3 (1), 41-79, 2011	52	2011
Lagrange–Poincaré field equations DCP Ellis, F Gay-Balmaz, DD Holm, TS Ratiu Journal of Geometry and physics 61 (11), 2120-2146, 2011	50	2011
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	49	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	49	2014
Reduced variational formulations in free boundary continuum mechanics F Gay-Balmaz, JE Marsden, TS Ratiu Journal of nonlinear science 22, 463-497, 2012	49	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	46	2020
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	44	2012
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	41	2015

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