Wu, Meng; Gay-Balmaz, François Variational integrators for stochastic Hamiltonian systems on Lie groups. (English) Zbl 07789300 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 212-220 (2023). MSC: 37M15 76M35 65P10 65C30 PDFBibTeX XMLCite \textit{M. Wu} and \textit{F. Gay-Balmaz}, Lect. Notes Comput. Sci. 14072, 212--220 (2023; Zbl 07789300) Full Text: DOI
Rodríguez Abella, Álvaro; Gay-Balmaz, François; Yoshimura, Hiroaki Infinite dimensional Lagrange-Dirac mechanics with boundary conditions. (English) Zbl 07789299 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 202-211 (2023). MSC: 70H03 70H45 70G45 PDFBibTeX XMLCite \textit{Á. Rodríguez Abella} et al., Lect. Notes Comput. Sci. 14072, 202--211 (2023; Zbl 07789299) Full Text: DOI
Gay-Balmaz, François; Tronci, Cesare Evolution of hybrid quantum-classical wavefunctions. (English) Zbl 1511.81053 Physica D 440, Article ID 133450, 19 p. (2022). MSC: 81Q20 81R20 47A68 81P16 81Q70 35Q92 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{C. Tronci}, Physica D 440, Article ID 133450, 19 p. (2022; Zbl 1511.81053) Full Text: DOI arXiv
Gawlik, Evan S.; Gay-Balmaz, François A variational finite element discretization of compressible flow. (English) Zbl 1506.65153 Found. Comput. Math. 21, No. 4, 961-1001 (2021). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 76N10 76M10 76M60 37K06 37K65 37M15 35Q35 PDFBibTeX XMLCite \textit{E. S. Gawlik} and \textit{F. Gay-Balmaz}, Found. Comput. Math. 21, No. 4, 961--1001 (2021; Zbl 1506.65153) Full Text: DOI arXiv
Gay-Balmaz, François; Yoshimura, Hiroaki Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics. (English) Zbl 1486.82033 IMA J. Math. Control Inf. 37, No. 4, 1298-1347 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C35 53D17 37J60 70G45 94C05 70H45 70H03 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, IMA J. Math. Control Inf. 37, No. 4, 1298--1347 (2020; Zbl 1486.82033) Full Text: DOI
Gay-Balmaz, François; Holm, Darryl D. Predicting uncertainty in geometric fluid mechanics. (English) Zbl 1439.49083 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1229-1242 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 49S05 70H25 76M30 49J55 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{D. D. Holm}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1229--1242 (2020; Zbl 1439.49083) Full Text: DOI arXiv
Couéraud, Benjamin; Gay-Balmaz, François Variational discretization of thermodynamical simple systems on Lie groups. (English) Zbl 1443.37061 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1075-1102 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 37M15 37D35 49S05 80M30 82C05 82C21 65P10 PDFBibTeX XMLCite \textit{B. Couéraud} and \textit{F. Gay-Balmaz}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1075--1102 (2020; Zbl 1443.37061) Full Text: DOI arXiv
Ardakani, H. Alemi; Bridges, T. J.; Gay-Balmaz, F.; Huang, Y. H.; Tronci, C. A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion. (English) Zbl 1472.76011 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2224, Article ID 20180642, 18 p. (2019). MSC: 76B10 76M30 PDFBibTeX XMLCite \textit{H. A. Ardakani} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2224, Article ID 20180642, 18 p. (2019; Zbl 1472.76011) Full Text: DOI arXiv
Bauer, Werner; Gay-Balmaz, François Variational integrators for anelastic and pseudo-incompressible flows. (English) Zbl 1431.76103 J. Geom. Mech. 11, No. 4, 511-537 (2019). MSC: 76M60 65P10 37N10 37K65 PDFBibTeX XMLCite \textit{W. Bauer} and \textit{F. Gay-Balmaz}, J. Geom. Mech. 11, No. 4, 511--537 (2019; Zbl 1431.76103) Full Text: DOI arXiv
Bauer, Werner; Gay-Balmaz, François Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. (English) Zbl 1421.76189 J. Comput. Dyn. 6, No. 1, 1-37 (2019). MSC: 76M60 65P10 76U05 37N10 37K05 37K65 PDFBibTeX XMLCite \textit{W. Bauer} and \textit{F. Gay-Balmaz}, J. Comput. Dyn. 6, No. 1, 1--37 (2019; Zbl 1421.76189) Full Text: DOI arXiv
Gay-Balmaz, François; Holm, Darryl D. Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. (English) Zbl 1431.37068 J. Nonlinear Sci. 28, No. 3, 873-904 (2018). Reviewer: Božidar Jovanović (Beograd) MSC: 37N10 37K25 37H10 60H15 70G45 86A05 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{D. D. Holm}, J. Nonlinear Sci. 28, No. 3, 873--904 (2018; Zbl 1431.37068) Full Text: DOI arXiv Link
Gay-Balmaz, François; Yoshimura, Hiroaki Variational discretization of the nonequilibrium thermodynamics of simple systems. (English) Zbl 1394.37113 Nonlinearity 31, No. 4, 1673-1705 (2018). Reviewer: Fernando Casas (Castellon) MSC: 37M15 49S05 80M30 70H30 37K05 82C05 49M15 49M25 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, Nonlinearity 31, No. 4, 1673--1705 (2018; Zbl 1394.37113) Full Text: DOI arXiv
Gay-Balmaz, François; Yoshimura, Hiroaki Dirac structures in nonequilibrium thermodynamics. (English) Zbl 1383.82043 J. Math. Phys. 59, No. 1, 012701, 29 p. (2018). MSC: 82C35 70F25 49S05 37J60 70G45 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, J. Math. Phys. 59, No. 1, 012701, 29 p. (2018; Zbl 1383.82043) Full Text: DOI arXiv
Demoures, F.; Gay-Balmaz, F.; Leyendecker, S.; Ober-Blöbaum, S.; Ratiu, T. S.; Weinand, Y. Discrete variational Lie group formulation of geometrically exact beam dynamics. (English) Zbl 1315.53090 Numer. Math. 130, No. 1, 73-123 (2015). MSC: 53D05 65P10 74B20 74H15 37M15 PDFBibTeX XMLCite \textit{F. Demoures} et al., Numer. Math. 130, No. 1, 73--123 (2015; Zbl 1315.53090) Full Text: DOI HAL
Demoures, François; Gay-Balmaz, François; Kobilarov, Marin; Ratiu, Tudor S. Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\). (English) Zbl 1473.70029 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3492-3512 (2014). MSC: 70G45 74K10 35A30 37M15 PDFBibTeX XMLCite \textit{F. Demoures} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3492--3512 (2014; Zbl 1473.70029) Full Text: DOI arXiv
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. Geometric dynamics of optimization. (English) Zbl 1271.49003 Commun. Math. Sci. 11, No. 1, 163-231 (2013). MSC: 49J20 49Q10 49J27 34H05 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., Commun. Math. Sci. 11, No. 1, 163--231 (2013; Zbl 1271.49003) Full Text: DOI arXiv
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier Invariant higher-order variational problems. (English) Zbl 1279.58009 Commun. Math. Phys. 309, No. 2, 413-458 (2012). MSC: 58E30 58E05 70G45 70H03 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., Commun. Math. Phys. 309, No. 2, 413--458 (2012; Zbl 1279.58009) Full Text: DOI arXiv
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. (English) Zbl 1319.70022 Bull. Braz. Math. Soc. (N.S.) 42, No. 4, 579-606 (2011). MSC: 70H50 70H33 70G45 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., Bull. Braz. Math. Soc. (N.S.) 42, No. 4, 579--606 (2011; Zbl 1319.70022) Full Text: DOI arXiv
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S. The momentum map representation of images. (English) Zbl 1211.58010 J. Nonlinear Sci. 21, No. 1, 115-150 (2011). MSC: 58E50 PDFBibTeX XMLCite \textit{M. Bruveris} et al., J. Nonlinear Sci. 21, No. 1, 115--150 (2011; Zbl 1211.58010) Full Text: DOI arXiv