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Gay-Balmaz, François

Co-Author Distance
Author ID: gay-balmaz.francois Recent zbMATH articles by "Gay-Balmaz, François"
Published as: Gay-Balmaz, François; Gay-Balmaz, F.; Gay-Balmaz, Francois
External Links: MGP
Documents Indexed: 123 Publications since 2005, including 13 Additional arXiv Preprints
Co-Authors: 48 Co-Authors with 118 Joint Publications
1,230 Co-Co-Authors
all top 5

Co-Authors

5 single-authored
33 Ratiu, Tudor Stefan
23 Yoshimura, Hiroaki
17 Tronci, Cesare
15 Holm, Darryl Dallas
13 Putkaradze, Vakhtang
8 Vizman, Cornelia
7 Demoures, François
6 Bauer, Werner
6 Gawlik, Evan S.
4 Eldred, Christopher
3 Bloch, Anthony Michael
3 Desbrun, Mathieu
3 Ellis, David C. P.
3 Wu, Meng
2 Bihlo, Alexander
2 Brecht, Rüdiger
2 Bruveris, Martins
2 Couéraud, Benjamin
2 Farkhutdinov, Tagir
2 MacLachlan, Scott P.
2 Meier, David M.
2 Pei, Jin-Song
2 Vialard, François-Xavier
2 Wright, Joseph P.
1 Aragón, Alejandro M.
1 Beck, James L.
1 Bergold, Paul
1 Bondar, Denys I.
1 Braune, Theo
1 Chi, Michael
1 Eldred, Chris
1 Havlicek, Joseph P.
1 Huraka, Sofiia
1 Kobilarov, Marin
1 Leyendecker, Sigrid
1 Marrero Gonzalez, Juan Carlos
1 Marsden, Jerrold Eldon
1 Martinez Alba, Nicolas
1 Monastyrskiĭ, Mikhail Il’ich
1 Ober-Blöbaum, Sina
1 Rodríguez Abella, Álvaro
1 Tang, Pengfei
1 Todd, Michael D.
1 Tong, Yiying
1 Tumpach, Alice Barbara
1 Vorobieff, Peter
1 Weinand, Y.
1 Zeitlin, Vladimir
all top 5

Serials

10 Journal of Nonlinear Science
6 Journal of Geometric Mechanics
5 Journal of Geometry and Physics
5 Journal of Physics A: Mathematical and Theoretical
4 Nonlinearity
4 Physica D
3 Communications in Mathematical Physics
3 Journal of Mathematical Physics
3 Advances in Applied Mathematics
3 Annals of Global Analysis and Geometry
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 The Journal of Symplectic Geometry
2 International Journal of Geometric Methods in Modern Physics
2 Dynamics of Partial Differential Equations
2 Discrete and Continuous Dynamical Systems. Series S
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Computer Methods in Applied Mechanics and Engineering
1 Geophysical and Astrophysical Fluid Dynamics
1 Reports on Mathematical Physics
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Numerische Mathematik
1 Acta Applicandae Mathematicae
1 IMA Journal of Mathematical Control and Information
1 Neural Networks
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 Foundations of Computational Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Communications in Mathematical Sciences
1 Analysis and Applications (Singapore)
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of the Transilvania University of Brașov. Series III. Mathematics, Informatics, Physics
1 Forum of Mathematics, Sigma
1 Journal of Computational Dynamics
1 Proceedings A. Royal Society of London
all top 5

Fields

48 Dynamical systems and ergodic theory (37-XX)
41 Mechanics of particles and systems (70-XX)
39 Fluid mechanics (76-XX)
20 Differential geometry (53-XX)
20 Mechanics of deformable solids (74-XX)
17 Partial differential equations (35-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Numerical analysis (65-XX)
12 Classical thermodynamics, heat transfer (80-XX)
7 Quantum theory (81-XX)
6 Nonassociative rings and algebras (17-XX)
4 Topological groups, Lie groups (22-XX)
3 Operator theory (47-XX)
3 Geophysics (86-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

92 Publications have been cited 920 times in 440 Documents Cited by ▼ Year ▼
The geometric structure of complex fluids. Zbl 1161.37052
Gay-Balmaz, François; Ratiu, Tudor S.
46
2009
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
39
2012
A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems. Zbl 1404.37033
Gay-Balmaz, François; Yoshimura, Hiroaki
36
2017
A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems. Zbl 1357.37051
Gay-Balmaz, François; Yoshimura, Hiroaki
33
2017
Symmetry reduced dynamics of charged molecular strands. Zbl 1333.70029
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
33
2010
Koopman wavefunctions and classical-quantum correlation dynamics. Zbl 1472.81012
Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare
29
2019
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
28
2011
Reduction theory for symmetry breaking with applications to nematic systems. Zbl 1208.37038
Gay-Balmaz, François; Tronci, Cesare
25
2010
The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation. Zbl 1320.32018
Gay-Balmaz, François; Ratiu, Tudor S.
24
2015
Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031
Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S.
24
2012
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
23
2011
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
22
2012
Clebsch optimal control formulation in mechanics. Zbl 1233.49005
Gay-Balmaz, François; Ratiu, Tudor S.
20
2011
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
20
2018
Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\). Zbl 1473.70029
Demoures, François; Gay-Balmaz, François; Kobilarov, Marin; Ratiu, Tudor S.
20
2014
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
20
2011
A new Lagrangian dynamic reduction in field theory. Zbl 1404.58029
Gay-Balmaz, François; Ratiu, Tudor S.
19
2010
Well-posedness of higher dimensional Camassa-Holm equations. Zbl 1224.35342
Gay-Balmaz, Francois
19
2009
Discrete variational Lie group formulation of geometrically exact beam dynamics. Zbl 1315.53090
Demoures, F.; Gay-Balmaz, F.; Leyendecker, S.; Ober-Blöbaum, S.; Ratiu, T. S.; Weinand, Y.
19
2015
Madelung transform and probability densities in hybrid quantum-classical dynamics. Zbl 1454.35310
Gay-Balmaz, François; Tronci, Cesare
18
2020
Dual pairs in fluid dynamics. Zbl 1234.53027
Gay-Balmaz, François; Vizman, Cornelia
15
2012
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
13
2019
Multisymplectic variational integrators and space/time symplecticity. Zbl 1338.65271
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
12
2016
Variational discretization for rotating stratified fluids. Zbl 1284.37058
Desbrun, Mathieu; Gawlik, Evan S.; Gay-Balmaz, François; Zeitlin, Vladimir
12
2014
Dirac structures in nonequilibrium thermodynamics. Zbl 1383.82043
Gay-Balmaz, François; Yoshimura, Hiroaki
12
2018
A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\). Zbl 07517115
Gawlik, Evan S.; Gay-Balmaz, François
12
2022
Selective decay by Casimir dissipation in inviscid fluids. Zbl 1322.76036
Gay-Balmaz, François; Holm, Darryl D.
12
2013
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids. Zbl 1149.70015
Gay-Balmaz, François; Ratiu, Tudor S.
11
2008
Dirac reduction for nonholonomic mechanical systems and semidirect products. Zbl 1302.70054
Gay-Balmaz, François; Yoshimura, Hiroaki
11
2015
Equivalent theories of liquid crystal dynamics. Zbl 1361.76005
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
11
2013
From variational to bracket formulations in nonequilibrium thermodynamics of simple systems. Zbl 1458.80001
Gay-Balmaz, François; Yoshimura, Hiroaki
11
2019
Vlasov moment flows and geodesics on the Jacobi group. Zbl 1287.37045
Gay-Balmaz, François; Tronci, Cesare
10
2012
A variational finite element discretization of compressible flow. Zbl 1506.65153
Gawlik, Evan S.; Gay-Balmaz, François
10
2021
A conservative finite element method for the incompressible Euler equations with variable density. Zbl 1436.76024
Gawlik, Evan S.; Gay-Balmaz, François
10
2020
A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation. Zbl 1521.86022
Gay-Balmaz, François
10
2019
Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups. Zbl 1349.37077
Gay-Balmaz, François; Tronci, Cesare; Vizman, Cornelia
10
2013
The helicity and vorticity of liquid-crystal flows. Zbl 1219.76005
Gay-Balmaz, François; Tronci, Cesare
9
2011
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2009
Isotropic submanifolds and coadjoint orbits of the Hamiltonian group. Zbl 1425.53106
Gay-Balmaz, François; Vizman, Cornelia
9
2019
Geometric dynamics of optimization. Zbl 1271.49003
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2013
Single and double generator bracket formulations of multicomponent fluids with irreversible processes. Zbl 1519.76344
Eldred, Christopher; Gay-Balmaz, François
8
2020
Multisymplectic variational integrators for nonsmooth Lagrangian continuum mechanics. Zbl 1416.65512
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
7
2016
Variational discretization of the nonequilibrium thermodynamics of simple systems. Zbl 1394.37113
Gay-Balmaz, François; Yoshimura, Hiroaki
7
2018
On flexible tubes conveying fluid: geometric nonlinear theory, stability and dynamics. Zbl 1327.74055
Gay-Balmaz, François; Putkaradze, Vakhtang
7
2015
Principal bundles of embeddings and nonlinear Grassmannians. Zbl 1318.46061
Gay-Balmaz, François; Vizman, Cornelia
7
2014
A geometric theory of selective decay with applications in MHD. Zbl 1308.37029
Gay-Balmaz, François; Holm, Darryl D.
7
2014
Koopman wavefunctions and classical states in hybrid quantum-classical dynamics. Zbl 1506.37113
Gay-Balmaz, François; Tronci, Cesare
7
2022
A dual pair for free boundary fluids. Zbl 1352.53069
Gay-Balmaz, François; Vizman, Cornelia
6
2015
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François
6
2011
Geometry of nonabelian charged fluids. Zbl 1229.37098
Gay-Balmaz, François; Ratiu, Tudor S.
5
2011
The Lie-Poisson structure of the LAE-\(\alpha\) equation. Zbl 1099.35096
Gay-Balmaz, François; Ratiu, Tudor S.
5
2005
Dirac structures in nonequilibrium thermodynamics for simple open systems. Zbl 1458.80004
Gay-Balmaz, François; Yoshimura, Hiroaki
5
2020
Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids. Zbl 1143.76061
Gay-Balmaz, François; Ratiu, Tudor S.
5
2008
Euler-Poincaré approaches to nematodynamics. Zbl 1278.82062
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
5
2012
On noisy extensions of nonholonomic constraints. Zbl 1378.70013
Gay-Balmaz, François; Putkaradze, Vakhtang
5
2016
A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system. Zbl 1422.35132
Gay-Balmaz, François; Yoshimura, Hiroaki
5
2019
Variational integrators for anelastic and pseudo-incompressible flows. Zbl 1431.76103
Bauer, Werner; Gay-Balmaz, François
5
2019
Exact geometric theory of dendronized polymer dynamics. Zbl 1257.82113
Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
5
2012
Evolution of hybrid quantum-classical wavefunctions. Zbl 1511.81053
Gay-Balmaz, François; Tronci, Cesare
5
2022
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
4
2017
Predicting uncertainty in geometric fluid mechanics. Zbl 1439.49083
Gay-Balmaz, François; Holm, Darryl D.
4
2020
Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics. Zbl 1486.82033
Gay-Balmaz, François; Yoshimura, Hiroaki
4
2020
A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion. Zbl 1472.76011
Ardakani, H. Alemi; Bridges, T. J.; Gay-Balmaz, F.; Huang, Y. H.; Tronci, C.
4
2019
Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids. Zbl 1506.37105
Demoures, François; Gay-Balmaz, François
4
2022
Dual pairs for non-abelian fluids. Zbl 1338.53114
Gay-Balmaz, François; Vizman, Cornelia
3
2015
Group actions on chains of Banach manifolds and applications to fluid dynamics. Zbl 1122.58006
Gay-Balmaz, François; Ratiu, Tudor S.
3
2007
Lagrangian reductions and integrable systems in condensed matter. Zbl 1311.53067
Gay-Balmaz, François; Monastyrsky, Michael; Ratiu, Tudor S.
3
2015
Geometric theory of flexible and expandable tubes conveying fluid: equations, solutions and shock waves. Zbl 1415.74040
Gay-Balmaz, François; Putkaradze, Vakhtang
3
2019
A multisymplectic integrator for elastodynamic frictionless impact problems. Zbl 1439.74234
Demoures, François; Gay-Balmaz, François; Desbrun, Mathieu; Ratiu, Tudor S.; Aragón, Alejandro M.
3
2017
Actively deforming porous media in an incompressible fluid: a variational approach. Zbl 1509.35215
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
3
2021
Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid. Zbl 1451.74075
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
3
2020
From variational to bracket formulations in nonequilibrium thermodynamics of simple systems. Zbl 1455.80004
Gay-Balmaz, François; Yoshimura, Hiroaki
3
2020
From quantum hydrodynamics to Koopman wavefunctions. I. Zbl 1485.76088
Gay-Balmaz, François; Tronci, Cesare
3
2021
Dynamics of mixed quantum-classical spin systems. Zbl 1521.81084
Gay-Balmaz, François; Tronci, Cesare
3
2023
Dynamics of elastic strands with rolling contact. Zbl 1364.74054
Gay-Balmaz, François; Putkaradze, Vakhtang
2
2015
Variational discretization of thermodynamical simple systems on Lie groups. Zbl 1443.37061
Couéraud, Benjamin; Gay-Balmaz, François
2
2020
Multisymplectic variational integrators for fluid models with constraints. Zbl 1491.76054
Demoures, François; Gay-Balmaz, François
2
2021
From quantum hydrodynamics to Koopman wavefunctions. II. Zbl 1485.76089
Tronci, Cesare; Gay-Balmaz, François
2
2021
Thermodynamically consistent semi-compressible fluids: a variational perspective. Zbl 1519.76299
Eldred, Christopher; Gay-Balmaz, François
2
2021
Coadjoint orbits in duals of Lie algebras with admissible ideals. Zbl 1402.53064
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
1
2017
Geometric analysis of noisy perturbations to nonholonomic constraints. Zbl 1430.70044
Gay-Balmaz, François; Putkaradze, Vakhtang
1
2017
Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations. Zbl 1151.37057
Gay-Balmaz, François; Ratiu, Tudor S.
1
2008
Integrable \(G\)-strands on semisimple Lie groups. Zbl 1298.22012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
1
2014
Variational discretization framework for geophysical flow models. Zbl 1458.76076
Bauer, Werner; Gay-Balmaz, François
1
2019
Variational methods for fluid-structure interactions. Zbl 1512.74024
Gay-Balmaz, François; Putkaradze, Vakhtang
1
2020
Clebsch variational principles in field theories and singular solutions of covariant EPDiff equations. Zbl 1286.49057
Gay-Balmaz, François
1
2013
Lagrangian trajectories and closure models in mixed quantum-classical dynamics. Zbl 1536.81062
Tronci, Cesare; Gay-Balmaz, François
1
2023
Lie-Poisson neural networks (LPNets): data-based computing of Hamiltonian systems with symmetries. Zbl 07825137
Eldred, Christopher; Gay-Balmaz, François; Huraka, Sofiia; Putkaradze, Vakhtang
1
2024
General relativistic Lagrangian continuum theories. I: Reduced variational principles and junction conditions for hydrodynamics and elasticity. Zbl 07828069
Gay-Balmaz, François
1
2024
Coadjoint orbits of vortex sheets in ideal fluids. Zbl 1541.37086
Gay-Balmaz, François; Vizman, Cornelia
1
2024
Variational geometric approach to the thermodynamics of porous media. Zbl 07821841
Gay-Balmaz, François; Putkaradze, Vakhtang
1
2022
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids. Zbl 1537.80011
Gawlik, Evan S.; Gay-Balmaz, François
1
2024
Lie-Poisson neural networks (LPNets): data-based computing of Hamiltonian systems with symmetries. Zbl 07825137
Eldred, Christopher; Gay-Balmaz, François; Huraka, Sofiia; Putkaradze, Vakhtang
1
2024
General relativistic Lagrangian continuum theories. I: Reduced variational principles and junction conditions for hydrodynamics and elasticity. Zbl 07828069
Gay-Balmaz, François
1
2024
Coadjoint orbits of vortex sheets in ideal fluids. Zbl 1541.37086
Gay-Balmaz, François; Vizman, Cornelia
1
2024
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids. Zbl 1537.80011
Gawlik, Evan S.; Gay-Balmaz, François
1
2024
Dynamics of mixed quantum-classical spin systems. Zbl 1521.81084
Gay-Balmaz, François; Tronci, Cesare
3
2023
Lagrangian trajectories and closure models in mixed quantum-classical dynamics. Zbl 1536.81062
Tronci, Cesare; Gay-Balmaz, François
1
2023
A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\). Zbl 07517115
Gawlik, Evan S.; Gay-Balmaz, François
12
2022
Koopman wavefunctions and classical states in hybrid quantum-classical dynamics. Zbl 1506.37113
Gay-Balmaz, François; Tronci, Cesare
7
2022
Evolution of hybrid quantum-classical wavefunctions. Zbl 1511.81053
Gay-Balmaz, François; Tronci, Cesare
5
2022
Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids. Zbl 1506.37105
Demoures, François; Gay-Balmaz, François
4
2022
Variational geometric approach to the thermodynamics of porous media. Zbl 07821841
Gay-Balmaz, François; Putkaradze, Vakhtang
1
2022
A variational finite element discretization of compressible flow. Zbl 1506.65153
Gawlik, Evan S.; Gay-Balmaz, François
10
2021
Actively deforming porous media in an incompressible fluid: a variational approach. Zbl 1509.35215
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
3
2021
From quantum hydrodynamics to Koopman wavefunctions. I. Zbl 1485.76088
Gay-Balmaz, François; Tronci, Cesare
3
2021
Multisymplectic variational integrators for fluid models with constraints. Zbl 1491.76054
Demoures, François; Gay-Balmaz, François
2
2021
From quantum hydrodynamics to Koopman wavefunctions. II. Zbl 1485.76089
Tronci, Cesare; Gay-Balmaz, François
2
2021
Thermodynamically consistent semi-compressible fluids: a variational perspective. Zbl 1519.76299
Eldred, Christopher; Gay-Balmaz, François
2
2021
Madelung transform and probability densities in hybrid quantum-classical dynamics. Zbl 1454.35310
Gay-Balmaz, François; Tronci, Cesare
18
2020
A conservative finite element method for the incompressible Euler equations with variable density. Zbl 1436.76024
Gawlik, Evan S.; Gay-Balmaz, François
10
2020
Single and double generator bracket formulations of multicomponent fluids with irreversible processes. Zbl 1519.76344
Eldred, Christopher; Gay-Balmaz, François
8
2020
Dirac structures in nonequilibrium thermodynamics for simple open systems. Zbl 1458.80004
Gay-Balmaz, François; Yoshimura, Hiroaki
5
2020
Predicting uncertainty in geometric fluid mechanics. Zbl 1439.49083
Gay-Balmaz, François; Holm, Darryl D.
4
2020
Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics. Zbl 1486.82033
Gay-Balmaz, François; Yoshimura, Hiroaki
4
2020
Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid. Zbl 1451.74075
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
3
2020
From variational to bracket formulations in nonequilibrium thermodynamics of simple systems. Zbl 1455.80004
Gay-Balmaz, François; Yoshimura, Hiroaki
3
2020
Variational discretization of thermodynamical simple systems on Lie groups. Zbl 1443.37061
Couéraud, Benjamin; Gay-Balmaz, François
2
2020
Variational methods for fluid-structure interactions. Zbl 1512.74024
Gay-Balmaz, François; Putkaradze, Vakhtang
1
2020
Koopman wavefunctions and classical-quantum correlation dynamics. Zbl 1472.81012
Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare
29
2019
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
13
2019
From variational to bracket formulations in nonequilibrium thermodynamics of simple systems. Zbl 1458.80001
Gay-Balmaz, François; Yoshimura, Hiroaki
11
2019
A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation. Zbl 1521.86022
Gay-Balmaz, François
10
2019
Isotropic submanifolds and coadjoint orbits of the Hamiltonian group. Zbl 1425.53106
Gay-Balmaz, François; Vizman, Cornelia
9
2019
A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system. Zbl 1422.35132
Gay-Balmaz, François; Yoshimura, Hiroaki
5
2019
Variational integrators for anelastic and pseudo-incompressible flows. Zbl 1431.76103
Bauer, Werner; Gay-Balmaz, François
5
2019
A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion. Zbl 1472.76011
Ardakani, H. Alemi; Bridges, T. J.; Gay-Balmaz, F.; Huang, Y. H.; Tronci, C.
4
2019
Geometric theory of flexible and expandable tubes conveying fluid: equations, solutions and shock waves. Zbl 1415.74040
Gay-Balmaz, François; Putkaradze, Vakhtang
3
2019
Variational discretization framework for geophysical flow models. Zbl 1458.76076
Bauer, Werner; Gay-Balmaz, François
1
2019
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
20
2018
Dirac structures in nonequilibrium thermodynamics. Zbl 1383.82043
Gay-Balmaz, François; Yoshimura, Hiroaki
12
2018
Variational discretization of the nonequilibrium thermodynamics of simple systems. Zbl 1394.37113
Gay-Balmaz, François; Yoshimura, Hiroaki
7
2018
A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems. Zbl 1404.37033
Gay-Balmaz, François; Yoshimura, Hiroaki
36
2017
A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems. Zbl 1357.37051
Gay-Balmaz, François; Yoshimura, Hiroaki
33
2017
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
4
2017
A multisymplectic integrator for elastodynamic frictionless impact problems. Zbl 1439.74234
Demoures, François; Gay-Balmaz, François; Desbrun, Mathieu; Ratiu, Tudor S.; Aragón, Alejandro M.
3
2017
Coadjoint orbits in duals of Lie algebras with admissible ideals. Zbl 1402.53064
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
1
2017
Geometric analysis of noisy perturbations to nonholonomic constraints. Zbl 1430.70044
Gay-Balmaz, François; Putkaradze, Vakhtang
1
2017
Multisymplectic variational integrators and space/time symplecticity. Zbl 1338.65271
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
12
2016
Multisymplectic variational integrators for nonsmooth Lagrangian continuum mechanics. Zbl 1416.65512
Demoures, François; Gay-Balmaz, François; Ratiu, Tudor S.
7
2016
On noisy extensions of nonholonomic constraints. Zbl 1378.70013
Gay-Balmaz, François; Putkaradze, Vakhtang
5
2016
The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation. Zbl 1320.32018
Gay-Balmaz, François; Ratiu, Tudor S.
24
2015
Discrete variational Lie group formulation of geometrically exact beam dynamics. Zbl 1315.53090
Demoures, F.; Gay-Balmaz, F.; Leyendecker, S.; Ober-Blöbaum, S.; Ratiu, T. S.; Weinand, Y.
19
2015
Dirac reduction for nonholonomic mechanical systems and semidirect products. Zbl 1302.70054
Gay-Balmaz, François; Yoshimura, Hiroaki
11
2015
On flexible tubes conveying fluid: geometric nonlinear theory, stability and dynamics. Zbl 1327.74055
Gay-Balmaz, François; Putkaradze, Vakhtang
7
2015
A dual pair for free boundary fluids. Zbl 1352.53069
Gay-Balmaz, François; Vizman, Cornelia
6
2015
Dual pairs for non-abelian fluids. Zbl 1338.53114
Gay-Balmaz, François; Vizman, Cornelia
3
2015
Lagrangian reductions and integrable systems in condensed matter. Zbl 1311.53067
Gay-Balmaz, François; Monastyrsky, Michael; Ratiu, Tudor S.
3
2015
Dynamics of elastic strands with rolling contact. Zbl 1364.74054
Gay-Balmaz, François; Putkaradze, Vakhtang
2
2015
Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\). Zbl 1473.70029
Demoures, François; Gay-Balmaz, François; Kobilarov, Marin; Ratiu, Tudor S.
20
2014
Variational discretization for rotating stratified fluids. Zbl 1284.37058
Desbrun, Mathieu; Gawlik, Evan S.; Gay-Balmaz, François; Zeitlin, Vladimir
12
2014
Principal bundles of embeddings and nonlinear Grassmannians. Zbl 1318.46061
Gay-Balmaz, François; Vizman, Cornelia
7
2014
A geometric theory of selective decay with applications in MHD. Zbl 1308.37029
Gay-Balmaz, François; Holm, Darryl D.
7
2014
Integrable \(G\)-strands on semisimple Lie groups. Zbl 1298.22012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
1
2014
Selective decay by Casimir dissipation in inviscid fluids. Zbl 1322.76036
Gay-Balmaz, François; Holm, Darryl D.
12
2013
Equivalent theories of liquid crystal dynamics. Zbl 1361.76005
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
11
2013
Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups. Zbl 1349.37077
Gay-Balmaz, François; Tronci, Cesare; Vizman, Cornelia
10
2013
Geometric dynamics of optimization. Zbl 1271.49003
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2013
Clebsch variational principles in field theories and singular solutions of covariant EPDiff equations. Zbl 1286.49057
Gay-Balmaz, François
1
2013
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
39
2012
Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031
Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S.
24
2012
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
22
2012
Dual pairs in fluid dynamics. Zbl 1234.53027
Gay-Balmaz, François; Vizman, Cornelia
15
2012
Vlasov moment flows and geodesics on the Jacobi group. Zbl 1287.37045
Gay-Balmaz, François; Tronci, Cesare
10
2012
Euler-Poincaré approaches to nematodynamics. Zbl 1278.82062
Gay-Balmaz, François; Ratiu, Tudor S.; Tronci, Cesare
5
2012
Exact geometric theory of dendronized polymer dynamics. Zbl 1257.82113
Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
5
2012
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
28
2011
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
23
2011
Clebsch optimal control formulation in mechanics. Zbl 1233.49005
Gay-Balmaz, François; Ratiu, Tudor S.
20
2011
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
20
2011
The helicity and vorticity of liquid-crystal flows. Zbl 1219.76005
Gay-Balmaz, François; Tronci, Cesare
9
2011
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François
6
2011
Geometry of nonabelian charged fluids. Zbl 1229.37098
Gay-Balmaz, François; Ratiu, Tudor S.
5
2011
Symmetry reduced dynamics of charged molecular strands. Zbl 1333.70029
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
33
2010
Reduction theory for symmetry breaking with applications to nematic systems. Zbl 1208.37038
Gay-Balmaz, François; Tronci, Cesare
25
2010
A new Lagrangian dynamic reduction in field theory. Zbl 1404.58029
Gay-Balmaz, François; Ratiu, Tudor S.
19
2010
The geometric structure of complex fluids. Zbl 1161.37052
Gay-Balmaz, François; Ratiu, Tudor S.
46
2009
Well-posedness of higher dimensional Camassa-Holm equations. Zbl 1224.35342
Gay-Balmaz, Francois
19
2009
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2009
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids. Zbl 1149.70015
Gay-Balmaz, François; Ratiu, Tudor S.
11
2008
Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids. Zbl 1143.76061
Gay-Balmaz, François; Ratiu, Tudor S.
5
2008
Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations. Zbl 1151.37057
Gay-Balmaz, François; Ratiu, Tudor S.
1
2008
Group actions on chains of Banach manifolds and applications to fluid dynamics. Zbl 1122.58006
Gay-Balmaz, François; Ratiu, Tudor S.
3
2007
The Lie-Poisson structure of the LAE-\(\alpha\) equation. Zbl 1099.35096
Gay-Balmaz, François; Ratiu, Tudor S.
5
2005
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Cited by 504 Authors

80 Gay-Balmaz, François
41 Holm, Darryl Dallas
27 Ratiu, Tudor Stefan
23 Tronci, Cesare
17 Putkaradze, Vakhtang
16 Yoshimura, Hiroaki
14 Colombo, Leonardo Jesus
12 Bauer, Martin
11 Cotter, Colin John
11 Esen, Oğul
10 Bruveris, Martins
10 Vizman, Cornelia
9 Arnaudon, Alexis
9 Castrillón López, Marco
8 Martín de Diego, David
8 Vialard, François-Xavier
7 Bloch, Anthony Michael
7 Crisan, Dan O.
7 Demoures, François
7 Han, Huan
7 Preston, Stephen C.
6 Bauer, Werner
6 Gawlik, Evan S.
6 Kolev, Boris
6 Leok, Melvin
6 Shen, Yuliang
5 Bermudez Manjarres, A. D.
5 Camarinha, Margarida
5 Jacobs, Henry O.
5 Michor, Peter Wolfram
5 Rodríguez Abella, Álvaro
5 Sütlü, Serkan
4 de León Rodríguez, Manuel
4 García-Toraño Andrés, Eduardo
4 Grmela, Miroslav
4 Gümral, Hasan
4 Mestdag, Tom
4 Modin, Klas
4 Pennec, Xavier
4 Sommer, Stefan
4 Tang, ShuAn
4 Vankerschaver, Joris
4 Zenkov, Dmitry V.
3 Anahory Simoes, Alexandre
3 Arnold, Martin
3 Bauchau, Olivier A.
3 Bondar, Denys I.
3 Cabrera, Alejandro
3 Capriotti, Santiago
3 Chechkin, Gregory Aleksandrovich
3 Desbrun, Mathieu
3 El-Nabulsi, Rami Ahmad
3 Eldred, Christopher
3 Haine, Ghislain
3 Hu, Ruiao
3 Ivanov, Rossen I.
3 Leahy, James-Michael
3 Leyendecker, Sigrid
3 Marsden, Jerrold Eldon
3 Matignon, Denis
3 Meier, David M.
3 Ohsawa, Tomoki
3 Pavelka, Michal
3 Rodrigo, César
3 Samokhin, Vyacheslav N.
3 Schippers, Eric D.
3 Shi, Donghua
3 Staubach, Wolfgang
3 Trouvé, Alain
3 Wang, Zhengping
2 Abrunheiro, Lígia
2 Ardakani, Hamid Alemi
2 Arguillère, Sylvain
2 Balseiro, Paula
2 Behrens, Jorn
2 Berbel, Miguel Ángel
2 Brugnoli, Andrea
2 Busto, Saray
2 Çağatay Uçgun, Filiz
2 Celledoni, Elena
2 Cismas, Emanuel-Ciprian
2 Ciuclea, Ioana
2 Clemente-Gallardo, Jesús
2 Cordoni, Francesco Giuseppe
2 Crouch, Peter E.
2 Cruzeiro, Ana-Bela
2 Di Persio, Luca
2 Drivas, Theodore Dimitrios
2 Dumbser, Michael
2 Ellis, David C. P.
2 Escher, Joachim
2 Farantos, Stavros C.
2 Farkhutdinov, Tagir
2 Ferraro, Sebastián J.
2 Flandoli, Franco
2 Fontaine, Marine
2 Gallouët, Thomas O.
2 García, Pedro Luis
2 Guigui, Nicolas
2 Haller, Stefan
...and 404 more Authors
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Cited in 134 Serials

33 Journal of Nonlinear Science
24 Journal of Physics A: Mathematical and Theoretical
22 Journal of Geometric Mechanics
18 Journal of Mathematical Physics
17 Physica D
13 Journal of Geometry and Physics
11 Journal of Computational Physics
9 International Journal of Geometric Methods in Modern Physics
8 Foundations of Computational Mathematics
7 Nonlinearity
7 Annals of Global Analysis and Geometry
6 Communications in Mathematical Physics
6 Journal of Differential Equations
6 Differential Geometry and its Applications
5 Archive for Rational Mechanics and Analysis
5 Computer Methods in Applied Mechanics and Engineering
5 Journal of Fluid Mechanics
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Imaging and Vision
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Computers & Mathematics with Applications
4 Journal of Computational and Applied Mathematics
4 Acta Applicandae Mathematicae
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Acta Mechanica
3 Journal of Statistical Physics
3 Letters in Mathematical Physics
3 Advances in Mathematics
3 Applied Mathematics and Computation
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Monatshefte für Mathematik
3 Advances in Applied Mathematics
3 Annals of Physics
3 Calculus of Variations and Partial Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Multibody System Dynamics
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Communications in Nonlinear Science and Numerical Simulation
3 Theoretical and Applied Mechanics
3 SIAM Journal on Imaging Sciences
3 Journal of Computational Dynamics
2 Classical and Quantum Gravity
2 Geophysical and Astrophysical Fluid Dynamics
2 Physics Letters. A
2 Reports on Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annales de l’Institut Fourier
2 Mathematische Zeitschrift
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 Journal of Elasticity
2 Continuum Mechanics and Thermodynamics
2 SIAM Journal on Scientific Computing
2 International Journal of Computer Vision
2 Journal of Lie Theory
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 Journal of High Energy Physics
2 Qualitative Theory of Dynamical Systems
2 Multiscale Modeling & Simulation
2 Acta Numerica
2 Discrete and Continuous Dynamical Systems. Series S
2 Analysis and Mathematical Physics
2 SIAM Journal on Applied Algebra and Geometry
2 Communications in Analysis and Mechanics
1 Computers and Fluids
1 International Journal of Control
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Physics Letters. B
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 The Annals of Statistics
1 Archiv der Mathematik
1 Automatica
1 Geometriae Dedicata
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Studies in Applied Mathematics
1 Synthese
1 Journal of the Nigerian Mathematical Society
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Neural Networks
1 The Annals of Applied Probability
1 The Journal of Geometric Analysis
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
...and 34 more Serials
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Cited in 48 Fields

132 Mechanics of particles and systems (70-XX)
122 Fluid mechanics (76-XX)
109 Dynamical systems and ergodic theory (37-XX)
99 Partial differential equations (35-XX)
86 Numerical analysis (65-XX)
81 Differential geometry (53-XX)
59 Global analysis, analysis on manifolds (58-XX)
47 Mechanics of deformable solids (74-XX)
43 Quantum theory (81-XX)
40 Calculus of variations and optimal control; optimization (49-XX)
29 Statistical mechanics, structure of matter (82-XX)
24 Topological groups, Lie groups (22-XX)
24 Classical thermodynamics, heat transfer (80-XX)
23 Probability theory and stochastic processes (60-XX)
18 Computer science (68-XX)
18 Relativity and gravitational theory (83-XX)
16 Functions of a complex variable (30-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Systems theory; control (93-XX)
15 Information and communication theory, circuits (94-XX)
14 Nonassociative rings and algebras (17-XX)
13 Geophysics (86-XX)
10 Ordinary differential equations (34-XX)
10 Statistics (62-XX)
8 Biology and other natural sciences (92-XX)
7 Functional analysis (46-XX)
6 Algebraic geometry (14-XX)
5 Manifolds and cell complexes (57-XX)
4 Optics, electromagnetic theory (78-XX)
3 Approximations and expansions (41-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 General topology (54-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year