- 2021 -
Gay-Balmaz, F. and Yoshimura, H., Dirac structures and variational formulation of port-dirac systems in nonequilibrium thermodynamics IMA Journal of Mathematical Control and Information, 37, 1298-1347 (2021) 10.1093/IMAMCI/DNAA015
Pei, J. S.; Gay-Balmaz, F.; Luscher, D. J.; Beck, J. L.; Todd, M. D.; Wright, J. P.; Qiao, Y.; Quadrelli, M. B.; Farrar, C. R. and Lieven, N. A., Connecting mem-models with classical theories Nonlinear Dynamics, 103, 1321-1344 (2021) 10.1007/s11071-020-06084-6
Farkhutdinov, T.; Gay-Balmaz, F. and Putkaradze, V., Actively deforming porous media in an incompressible fluid: A variational approach Physica D: Nonlinear Phenomena, 426, 132984 (2021) 10.1016/j.physd.2021.132984
Gawlik, E. S. and Gay-Balmaz, F., A Variational Finite Element Discretization of Compressible Flow Foundations of Computational Mathematics, 21, 961-1001 (2021) 10.1007/s10208-020-09473-w
- 2020 -
Barbaresco, F. and Gay-Balmaz, F., Lie group cohomology and (Multi)symplectic integrators: New geometric tools for lie group machine learning based on souriau geometric statistical mechanics Entropy, 22, 498 (2020) 10.3390/E22050498
Gawlik, E. S. and Gay-Balmaz, F., A conservative finite element method for the incompressible Euler equations with variable density Journal of Computational Physics, 412, 109439 (2020) 10.1016/j.jcp.2020.109439
Eldred, C. and Gay-Balmaz, F., Single and double generator bracket formulations of multicomponent fluids with irreversible processes Journal of Physics A: Mathematical and Theoretical, 53, 395701 (2020) 10.1088/1751-8121/ab91d3
Gay-Balmaz, F. and Tronci, C., Madelung transform and probability densities in hybrid quantum-classical dynamics Nonlinearity, 33, 5383-5424 (2020) 10.1088/1361-6544/aba233
Gay-Balmaz, F. and Yoshimura, H., From variational to bracket formulations in nonequilibrium thermodynamics of simple systems Journal of Geometry and Physics, 158, 103812 (2020) 10.1016/j.geomphys.2020.103812
Farkhutdinov, T.; Gay-Balmaz, F. and Putkaradze, V., Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid Acta Mechanica, 231, 3897-3924 (2020) 10.1007/s00707-020-02726-3
- 2019 -
Gay-Balmaz, F. and Putkaradze, V., Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves Journal of Nonlinear Science, 29, 377-414 (2019) 10.1007/s00332-018-9491-9
Brecht, R.; Bauer, W.; Bihlo, A.; Gay-Balmaz, F. and MacLachlan, S., Variational integrator for the rotating shallow-water equations on the sphere Quarterly Journal of the Royal Meteorological Society, 145, 1070-1088 (2019) 10.1002/qj.3477
Pei, J. S.; Wright, J. P.; Gay-Balmaz, F.; Beck, J. L. and Todd, M. D., On choosing state variables for piecewise-smooth dynamical system simulations Nonlinear Dynamics, 95, 1165-1188 (2019) 10.1007/s11071-018-4622-2
Alemi Ardakani, H.; Bridges, T. J.; Gay-Balmaz, F.; Huang, Y. H. and Tronci, C., A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475, 20180642 (2019) 10.1098/rspa.2018.0642
Gay-Balmaz, F., A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation Geophysical and Astrophysical Fluid Dynamics, 113, 428-465 (2019) 10.1080/03091929.2019.1570505
Bauer, W. and Gay-Balmaz, F., Towards a geometric variational discretization of compressible fluids: The rotating shallow water equations Journal of Computational Dynamics, 6, 1-37 (2019) 10.3934/jcd.2019001
Couéraud, B. and Gay-Balmaz, F., Variational discretization of thermodynamical simple systems on Lie groups Discrete and Continuous Dynamical Systems - Series S, 13, 1075-1102 (2019) 10.3934/dcdss.2020064
Gay-Balmaz, F. and Holm, D. D., Predicting uncertainty in geometric fluid mechanics Discrete and Continuous Dynamical Systems - Series S, 13, 1229-1242 (2019) 10.3934/dcdss.2020071
Bauer, W. and Gay-Balmaz, F., Variational integrators for anelastic and Pseudo-incompressible flows Journal of Geometric Mechanics, 11, 511-537 (2019) 10.3934/jgm.2019025
Gay-Balmaz, F. and Vizman, C., Isotropic submanifolds and coadjoint orbits of the hamiltonian group Journal of Symplectic Geometry, 17, 663-702 (2019) 10.4310/JSG.2019.v17.n3.a3
Bondar, D. I.; Gay-Balmaz, F. and Tronci, C., Koopman wavefunctions and classical-quantum correlation dynamics Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475, 20180879 (2019) 10.1098/rspa.2018.0879
- 2018 -
Gay-Balmaz, F.; Georgievskii, D. and Putkaradze, V., Stability of helical tubes conveying fluid Journal of Fluids and Structures, 78, 146-174 (2018) 10.1016/j.jfluidstructs.2017.12.020
Gay-Balmaz, F. and Holm, D. D., Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows Journal of Nonlinear Science, 28, 873-904 (2018) 10.1007/s00332-017-9431-0
Gay-Balmaz, F. and Yoshimura, H., Dirac structures in nonequilibrium thermodynamics Journal of Mathematical Physics, 59, 012701 (2018) 10.1063/1.5017223
Gay-Balmaz, F. and Yoshimura, H., A variational formulation of nonequilibrium thermodynamics for discrete open systems with mass and heat transfer Entropy, 20, 163 (2018) 10.3390/e20030163
- 2017 -
Demoures, F.; Gay-Balmaz, F.; Desbrun, M.; Ratiu, T. S. and Aragón, A. M., A multisymplectic integrator for elastodynamic frictionless impact problems Computer Methods in Applied Mechanics and Engineering, 315, 1025-1052 (2017) 10.1016/j.cma.2016.11.011
Pei, J. S.; Gay-Balmaz, F.; Wright, J. P.; Todd, M. D. and Masri, S. F., Dual input–output pairs for modeling hysteresis inspired by mem-models Nonlinear Dynamics, 88, 2435-2455 (2017) 10.1007/s11071-017-3388-2
Bloch, A. M.; Gay-Balmaz, F. and Ratiu, T. S., The Geometric Nature of the Flaschka Transformation Communications in Mathematical Physics, 352, 457-517 (2017) 10.1007/s00220-017-2854-5
Gay-Balmaz, F. and Yoshimura, H., A Lagrangian variational formulation for nonequilibrium thermodynamics. Part II: Continuum systems Journal of Geometry and Physics, 111, 194-212 (2017) 10.1016/j.geomphys.2016.08.019
Gay-Balmaz, F. and Yoshimura, H., A Lagrangian variational formulation for nonequilibrium thermodynamics. Part I: Discrete systems Journal of Geometry and Physics, 111, 169-193 (2017) 10.1016/j.geomphys.2016.08.018
Bloch, A. M.; Gay-Balmaz, F. and Ratiu, T. S., Coadjoint orbits in duals of Lie algebras with admissible ideals Sbornik Mathematics, 208, 1421-1448 (2017) 10.1070/SM8757
- 2016 -
Demoures, F.; Gay-Balmaz, F. and Ratiu, T. S., Multisymplectic variational integrators and space/time symplecticity Analysis and Applications, 14, 341-391 (2016) 10.1142/S0219530515500025
Demoures, F.; Gay-Balmaz, F. and Ratiu, T. S., MULTISYMPLECTIC VARIATIONAL INTEGRATORS for NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS Forum of Mathematics, Sigma, 4, e19 (2016) 10.1017/fms.2016.17
Gay-Balmaz, F. and Putkaradze, V., Variational discretizations for the dynamics of fluid-conveying flexible tubes Comptes Rendus - Mecanique, 344, 769-775 (2016) 10.1016/j.crme.2016.08.004
Gay-Balmaz, F. and Putkaradze, V., On Noisy Extensions of Nonholonomic Constraints Journal of Nonlinear Science, 26, 1571-1613 (2016) 10.1007/s00332-016-9313-x
- 2015 -
Pei, J. S.; Wright, J. P.; Todd, M. D.; Masri, S. F. and Gay-Balmaz, F., Understanding memristors and memcapacitors in engineering mechanics applications Nonlinear Dynamics, 80, 457-489 (2015) 10.1007/s11071-014-1882-3
Gay-Balmaz, F.; Monastyrsky, M. and Ratiu, T. S., Lagrangian Reductions and Integrable Systems in Condensed Matter Communications in Mathematical Physics, 335, 609-636 (2015) 10.1007/s00220-015-2317-9
Gay-Balmaz, F. and Yoshimura, H., Dirac reduction for nonholonomic mechanical systems and semidirect products Advances in Applied Mathematics, 63, 131-213 (2015) 10.1016/j.aam.2014.10.004
Gay-Balmaz, F. and Vizman, C., A dual pair for free boundary fluids International Journal of Geometric Methods in Modern Physics, 12, 1550068 (2015) 10.1142/S0219887815500681
Demoures, F.; Gay-Balmaz, F.; Leyendecker, S.; Ober-Blöbaum, S.; Ratiu, T. S. and Weinand, Y., Discrete variational Lie group formulation of geometrically exact beam dynamics Numerische Mathematik, 130, 73-123 (2015) 10.1007/s00211-014-0659-4
Gay-Balmaz, F. and Putkaradze, V., On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics Journal of Nonlinear Science, 25, 889-936 (2015) 10.1007/s00332-015-9246-9
Gay-Balmaz, F. and Ratiu, T. S., The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation Advances in Mathematics, 279, 717-778 (2015) 10.1016/j.aim.2015.04.005
- 2014 -
Gay-Balmaz, F. and Vizman, C., Principal bundles of embeddings and nonlinear Grassmannians Annals of Global Analysis and Geometry, 46, 293-312 (2014) 10.1007/s10455-014-9424-2
Gay-Balmaz, F. and Putkaradze, V., Exact geometric theory for flexible, fluid-conducting tubes Comptes Rendus - Mecanique, 342, 79-84 (2014) 10.1016/j.crme.2014.01.001
Desbrun, M.; Gawlik, E. S.; Gay-Balmaz, F. and Zeitlin, V., Variational discretization for rotating stratified fluids Discrete and Continuous Dynamical Systems- Series A, 34, 477-509 (2014) 10.3934/dcds.2014.34.477
Demoures, F.; Gay-Balmaz, F.; Kobilarov, M. and Ratiu, T. S., Multisymplectic Lie group variational integrator for a geometrically exact beam in R3 Communications in Nonlinear Science and Numerical Simulation, 19, 3492-3512 (2014) 10.1016/j.cnsns.2014.02.032
Gay-Balmaz, F. and Holm, D. D., A geometric theory of selective decay with applications in MHD Nonlinearity, 27, 1747-1777 (2014) 10.1088/0951-7715/27/8/1747
Gay-Balmaz, F.; Holm, D. D. and Ratiu, T. S., Integrable G-strands on semisimple Lie groups Journal of Physics A: Mathematical and Theoretical, 47, 075201 (2014) 10.1088/1751-8113/47/7/075201
- 2013 -
Gay-Balmaz, F.; Holm, D. D. and Ratiu, T. S., Geometric dynamics of optimization Communications in Mathematical Sciences, 11, 163-231 (2013) 10.4310/CMS.2013.v11.n1.a6
Gay-Balmaz, F. and Holm, D. D., Selective decay by Casimir dissipation in inviscid fluids Nonlinearity, 26, 495-524 (2013) 10.1088/0951-7715/26/2/495
Gay-Balmaz, F., Clebsch variational principles in field theories and singular solutions of covariant EPDiff equations Reports on Mathematical Physics, 71, 231-277 (2013) 10.1016/S0034-4877(13)60032-4
Gay-Balmaz, F.; Tronci, C. and Vizman, C., Geometric dynamics on the automorphism group of principal bundles: Geodesic flows, dual pairs and chromomorphism groups Journal of Geometric Mechanics, 5, 39-84 (2013) 10.3934/jgm.2013.5.39
Gay-Balmaz, F.; Ratiu, T. S. and Tronci, C., Equivalent Theories of Liquid Crystal Dynamics Archive for Rational Mechanics and Analysis, 210, 773-811 (2013) 10.1007/s00205-013-0673-1
- 2012 -
Gay-Balmaz, F.; Holm, D. D.; Putkaradze, V. and Ratiu, T. S., Exact geometric theory of dendronized polymer dynamics Advances in Applied Mathematics, 48, 535-574 (2012) 10.1016/j.aam.2011.11.006
Gay-Balmaz, F.; Holm, D. D.; Meier, D. M.; Ratiu, T. S. and Vialard, F. X., Invariant Higher-Order Variational Problems Communications in Mathematical Physics, 309, 413-458 (2012) 10.1007/s00220-011-1313-y
Gay-Balmaz, F. and Vizman, C., Dual pairs in fluid dynamics Annals of Global Analysis and Geometry, 41, 1-24 (2012) 10.1007/s10455-011-9267-z
Gay-Balmaz, F. and Tronci, C., Vlasov moment flows geodesics on the Jacobi group Journal of Mathematical Physics, 53, 123502 (2012) 10.1063/1.4763467
Gay-Balmaz, F. and Putkaradze, V., Dynamics of elastic rods in perfect friction contact Physical Review Letters, 109, 244303 (2012) 10.1103/PhysRevLett.109.244303
Gay-Balmaz, F.; Marsden, J. E. and Ratiu, T. S., Reduced variational formulations in free boundary continuum mechanics Journal of Nonlinear Science, 22, 463-497 (2012) 10.1007/s00332-012-9143-4
Gay-Balmaz, F.; Holm, D. D.; Meier, D. M.; Ratiu, T. S. and Vialard, F. X., Invariant higher-order variational problems II Journal of Nonlinear Science, 22, 553-597 (2012) 10.1007/s00332-012-9137-2
- 2011 -
Gay-Balmaz, F.; Holm, D. D. and Ratiu, T. S., Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions Bulletin of the Brazilian Mathematical Society, 42, 579-606 (2011) 10.1007/s00574-011-0030-7
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D. and Ratiu, T. S., The momentum map representation of images Journal of Nonlinear Science, 21, 115-150 (2011) 10.1007/s00332-010-9079-5
Gay-Balmaz, F. and Ratiu, T. S., Clebsch optimal control formulation in mechanics Journal of Geometric Mechanics, 3, 41-79 (2011) 10.3934/jgm.2011.3.41
Ellis, D. C.; Gay-Balmaz, F.; Holm, D. D. and Ratiu, T. S., Lagrange-Poincaré field equations Journal of Geometry and Physics, 61, 2120-2146 (2011) 10.1016/j.geomphys.2011.06.007
Gay-Balmaz, F. and Ratiu, T. S., Geometry of nonabelian charged fluids Dynamics of Partial Differential Equations, 8, 5-19 (2011) 10.4310/DPDE.2011.v8.n1.a2
Bruveris, M.; Ellis, D. C.; Holm, D. D. and Gay-Balmaz, F., Un-Reduction Journal of Geometric Mechanics, 3, 363-387 (2011) 10.3934/jgm.2011.3.363
- 2010 -
Ellis, D. C.; Gay-Balmaz, F.; Holm, D. D.; Putkaradze, V. and Ratiu, T. S., Symmetry reduced dynamics of charged molecular strands Archive for Rational Mechanics and Analysis, 197, 811-902 (2010) 10.1007/s00205-010-0305-y
Retreived from SCOPUS using Rose, Michael E. and John R. Kitchin: “pybliometrics: Scriptable bibliometrics using a Python interface to Scopus”, SoftwareX 10 (2019) 100263.