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1

The geometry of the universal Teichmüller space and the Euler–Weil–Petersson equation

Gay-Balmaz, François, Ratiu, Tudor S.

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 896 KB

english, 2015

2

Affine Lie–Poisson reduction, Yang–Mills magnetohydrodynamics, and superfluids

Gay-Balmaz, François, Ratiu, Tudor S

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2008

Language:

english

File:

PDF, 343 KB

english, 2008

3

On the classification of the coadjoint orbits of the Sobolev Bott–Virasoro group

François Gay-Balmaz

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 342 KB

english, 2009

4

Symmetry Reduced Dynamics of Charged Molecular Strands

David C. P. Ellis, François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze, Tudor S. Ratiu

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 809 KB

english, 2010

5

Clebsch Variational Principles in Field Theories and Singular Solutions of Covariant Epdiff Equations

Gay-Balmaz, François

Journal:

Reports on Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 335 KB

english, 2013

6

Understanding memristors and memcapacitors in engineering mechanics applications

Pei, Jin-Song, Wright, Joseph P., Todd, Michael D., Masri, Sami F., Gay-Balmaz, François

Journal:

Nonlinear Dynamics

Year:

2015

Language:

english

File:

PDF, 11.85 MB

english, 2015

7

A Lagrangian variational formulation for nonequilibrium thermodynamics. Part I: Discrete systems

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Journal of Geometry and Physics

Year:

2016

Language:

english

File:

PDF, 2.20 MB

english, 2016

8

The Geometric Nature of the Flaschka Transformation

Bloch, Anthony M., Gay-Balmaz, François, Ratiu, Tudor S.

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 804 KB

english, 2017

9

Dirac structures in nonequilibrium thermodynamics

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 687 KB

english, 2018

10

Lagrange–Poincaré field equations

David C.P. Ellis, François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu

Journal:

Journal of Geometry and Physics

Year:

2011

Language:

english

File:

PDF, 437 KB

english, 2011

11

The geometric structure of complex fluids

François Gay-Balmaz, Tudor S. Ratiu

Journal:

Advances in Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 880 KB

english, 2009

12

Reduction theory for symmetry breaking with applications to nematic systems

François Gay-Balmaz, Cesare Tronci

Journal:

Physica D: Nonlinear Phenomena

Year:

2010

Language:

english

File:

PDF, 747 KB

english, 2010

13

Invariant Higher-Order Variational Problems

François Gay-Balmaz, Darryl D. Holm, David M. Meier, Tudor S. Ratiu, François-Xavier Vialard

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 659 KB

english, 2012

14

Group actions on chains of Banach manifolds and applications to fluid dynamics

François Gay-Balmaz, Tudor S. Ratiu

Journal:

Annals of Global Analysis and Geometry

Year:

2007

Language:

english

File:

PDF, 560 KB

english, 2007

15

Dual pairs in fluid dynamics

François Gay-Balmaz, Cornelia Vizman

Journal:

Annals of Global Analysis and Geometry

Year:

2012

Language:

english

File:

PDF, 534 KB

english, 2012

16

Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions

François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

2011

Language:

english

File:

PDF, 228 KB

english, 2011

17

Euler-Poincaré Approaches to Nematodynamics

François Gay-Balmaz, Tudor S. Ratiu, Cesare Tronci

Journal:

Acta Applicandae Mathematicae

Year:

2012

Language:

english

File:

PDF, 819 KB

english, 2012

18

Exact geometric theory of dendronized polymer dynamics

François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze, Tudor S. Ratiu

Journal:

Advances in Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 514 KB

english, 2012

19

Reduced Variational Formulations in Free Boundary Continuum Mechanics

François Gay-Balmaz, Jerrold E. Marsden, Tudor S. Ratiu

Journal:

Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 1.02 MB

english, 2012

20

Invariant Higher-Order Variational Problems II

François Gay-Balmaz, Darryl D. Holm, David M. Meier, Tudor S. Ratiu, François-Xavier Vialard

Journal:

Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 1.33 MB

english, 2012

21

Dynamics of Elastic Rods in Perfect Friction Contact

Gay-Balmaz, François, Putkaradze, Vakhtang

Journal:

Physical Review Letters

Year:

2012

Language:

english

File:

PDF, 503 KB

english, 2012

22

Selective decay by Casimir dissipation in inviscid fluids

Gay-Balmaz, François, Holm, Darryl D

Journal:

Year:

2013

Language:

english

File:

PDF, 323 KB

english, 2013

23

Exact geometric theory for flexible, fluid-conducting tubes

Gay-Balmaz, François, Putkaradze, Vakhtang

Journal:

Comptes Rendus Mécanique

Year:

2014

Language:

english

File:

PDF, 495 KB

english, 2014

24

Multisymplectic Lie group variational integrator for a geometrically exact beam in

Demoures, François, Gay-Balmaz, François, Kobilarov, Marin, Ratiu, Tudor S.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2014

Language:

english

File:

PDF, 2.82 MB

english, 2014

25

Principal bundles of embeddings and nonlinear Grassmannians

Gay-Balmaz, François, Vizman, Cornelia

Journal:

Annals of Global Analysis and Geometry

Year:

2014

Language:

english

File:

PDF, 300 KB

english, 2014

26

[IEEE 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton) - Monticello, IL (2013.10.2-2013.10.4)] 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton) - Double bracket flows, toda flows and rigid body toda

Bloch, Anthony M., Gay-Balmaz, Francois, Ratiu, Tudor S.

Year:

2013

Language:

english

File:

PDF, 503 KB

english, 2013

27

Asynchronous variational Lie group integration for geometrically exact beam dynamics

Demoures, Francois, Gay-Balmaz, Francois, Leitz, Thomas, Leyendecker, Sigrid, Ober-Blöbaum, Sina, Ratiu, Tudor S.

Journal:

Year:

2013

Language:

english

File:

PDF, 213 KB

english, 2013

28

Dirac reduction for nonholonomic mechanical systems and semidirect products

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Advances in Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 1.29 MB

english, 2015

29

Dynamics of elastic strands with rolling contact

Gay-Balmaz, François, Putkaradze, Vakhtang

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 709 KB

english, 2015

30

A geometric theory of selective decay with applications in MHD

Gay-Balmaz, François, Holm, Darryl D

Journal:

Year:

2014

Language:

english

File:

PDF, 1.64 MB

english, 2014

31

Lagrangian Reductions and Integrable Systems in Condensed Matter

Gay-Balmaz, François, Monastyrsky, Michael, Ratiu, Tudor S.

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 366 KB

english, 2015

32

On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics

Gay-Balmaz, François, Putkaradze, Vakhtang

Journal:

Journal of Nonlinear Science

Year:

2015

Language:

english

File:

PDF, 642 KB

english, 2015

33

Integrable G -strands on semisimple Lie groups

Gay-Balmaz, François, Holm, Darryl D, Ratiu, Tudor S

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 230 KB

english, 2014

34

Multisymplectic variational integrators and space/time symplecticity

Demoures, François, Gay-Balmaz, François, Ratiu, Tudor S.

Journal:

Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1.15 MB

english, 2016

35

On Noisy Extensions of Nonholonomic Constraints

Gay-Balmaz, François, Putkaradze, Vakhtang

Journal:

Journal of Nonlinear Science

Year:

2016

Language:

english

File:

PDF, 3.38 MB

english, 2016

36

A dual pair for free boundary fluids

Gay-Balmaz, François, Vizman, Cornelia

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2015

Language:

english

File:

PDF, 253 KB

english, 2015

37

The helicity and vorticity of liquid-crystal flows

François Gay-Balmaz and Cesare Tronci

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2011

Language:

english

File:

PDF, 1.34 MB

english, 2011

38

A Lagrangian variational formulation for nonequilibrium thermodynamics. Part II: Continuum systems

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Journal of Geometry and Physics

Year:

2016

Language:

english

File:

PDF, 728 KB

english, 2016

39

A multisymplectic integrator for elastodynamic frictionless impact problems

Demoures, François, Gay-Balmaz, François, Desbrun, Mathieu, Ratiu, Tudor S., Aragón, Alejandro M.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2017

Language:

english

File:

PDF, 11.26 MB

english, 2017

40

Dual input–output pairs for modeling hysteresis inspired by mem-models

Jin-Song Pei,François Gay-Balmaz,Joseph P. Wright,Michael D. Todd…

Journal:

Nonlinear Dynamics

Year:

2017

Language:

english

File:

PDF, 10.75 MB

english, 2017

41

Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows

Gay-Balmaz, François, Holm, Darryl D.

Journal:

Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 1.86 MB

english, 2018

42

Stability of helical tubes conveying fluid

Gay-Balmaz, François, Georgievskii, Dimitri, Putkaradze, Vakhtang

Journal:

Journal of Fluids and Structures

Year:

2018

Language:

english

File:

PDF, 1.28 MB

english, 2018

43

Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves

Gay-Balmaz, François, Putkaradze, Vakhtang

Journal:

Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 1.41 MB

english, 2018

44

Variational discretization of the nonequilibrium thermodynamics of simple systems

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Year:

2018

Language:

english

File:

PDF, 7.58 MB

english, 2018

45

On choosing state variables for piecewise-smooth dynamical system simulations

Pei, Jin-Song, Wright, Joseph P., Gay-Balmaz, François, Beck, James L., Todd, Michael D.

Journal:

Nonlinear Dynamics

Year:

2018

Language:

english

File:

PDF, 2.40 MB

english, 2018

46

A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation

Gay-Balmaz, François

Journal:

Geophysical & Astrophysical Fluid Dynamics

Year:

2019

File:

PDF, 2.76 MB

2019

47

A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Year:

2018

Language:

english

File:

PDF, 2.28 MB

english, 2018

48

A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

Year:

2018

File:

PDF, 2.28 MB

2018

49

Dirac structures in nonequilibrium thermodynamics ⁎ ⁎H.Y. is partially supported by JSPS Grant-in-Aid for Scientific Research (26400408, 16KT0024, 24224004), Waseda University Grant for Special Research Project (2017K-167), and the MEXT “Top Global University Project”; F.G.B. is partially supported by the ANR project GEOMFLUID, ANR-14-CE23-0002-01.

Yoshimura, Hiroaki, Gay-Balmaz, François

Journal:

IFAC-PapersOnLine

Year:

2018

Language:

english

File:

PDF, 489 KB

english, 2018

50

A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system

Gay-Balmaz, François, Yoshimura, Hiroaki

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2019

Language:

english

File:

PDF, 309 KB

english, 2019