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Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 10/2014, Volume 19, Issue 10, pp. 3492 - 3512
•We discretize the covariant formulation of the geometrically exact beam model.•The discrete covariant principle is established on a triangular spacetime... 
Multisymplectic integrator | Variational integrator | Energy conservation | Geometrically exact beam | Discrete Noether theorem
Journal Article
Quarterly Journal of the Royal Meteorological Society, ISSN 0035-9009, 04/2019, Volume 145, Issue 720, pp. 1070 - 1088
Journal Article
Geophysical & Astrophysical Fluid Dynamics: Mathematical Developments in Geophysical Fluid Dynamics: Structure, Vortices, and Waves. Guest Editors: Gualtiero Badin, Jörn Behrens, Christian Franzke, Marcel Oliver and Jens Rademacher, ISSN 0309-1929, 11/2019, Volume 113, Issue 5-6, pp. 428 - 465
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 01/2018, Volume 59, Issue 1, p. 12701
Dirac structures are geometric objects that generalize both Poisson structures and presymplectic structures on manifolds. They naturally appear in the... 
SYSTEMS | LAGRANGIAN VARIATIONAL FORMULATION | PART II | PHYSICS, MATHEMATICAL
Journal Article
Nonlinearity, ISSN 0951-7715, 03/2018, Volume 31, Issue 4, pp. 1673 - 1705
In this paper, we develop variational integrators for the nonequilibrium thermodynamics of simple closed systems. These integrators are obtained by a... 
entropy | nonequilibrium thermodynamics | variational integrators | discrete Lagrangian formulation | structure preserving discretization | MATHEMATICS, APPLIED | FACTORIZATION | MECHANICS | INTEGRATORS | FORMULATION | PHYSICS, MATHEMATICAL | Mathematics - Numerical Analysis
Journal Article
Analysis and Applications, ISSN 0219-5305, 05/2016, Volume 14, Issue 3, pp. 341 - 391
Multisymplectic variational integrators are structure-preserving numerical schemes especially designed for PDEs derived from covariant spacetime Hamilton... 
variational integrator | Multisymplectic structure | discrete momentum map | discrete mechanics | discrete global Noether theorem | Lie group symmetry | BEAM | MATHEMATICS | MATHEMATICS, APPLIED | GEOMETRY
Journal Article
Journal of Fluids and Structures, ISSN 0889-9746, 04/2018, Volume 78, pp. 146 - 174
We study the linear stability of elastic collapsible tubes conveying fluid, when the equilibrium configuration of the tube is helical. A particular case of... 
Elastic tubes conveying fluid | Linear stability | Collapsible tubes | Variational methods | Helical equilibria | INSTABILITY | EQUATIONS | PIPES | FLOW | ENGINEERING, MECHANICAL | UNSTABLE OSCILLATION | MECHANICS | MOTION | DYNAMICS
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 02/2019, Volume 16
We present a variational formulation for the Navier-Stokes-Fourier system based on a free energy Lagrangian. This formulation is a systematic... 
Navier-Stokes-Fourier system | nonequilibrium thermodynamics | Variational formulation | PHYSICS, MATHEMATICAL
Journal Article
Comptes rendus - Mécanique, ISSN 1631-0721, 11/2016, Volume 344, Issue 11-12, pp. 769 - 775
We derive a variational approach for discretizing fluid–structure interactions, with a particular focus on the dynamics of fluid-conveying elastic tubes. Our... 
Tubes avec écoulement interne | Fluid–structure interaction | Intégrateurs variationnels | Variational integrators | Fluid-conveying tubes | Interaction fluide–structure | UNSTABLE OSCILLATION | MECHANICS | PIPES | STABILITY | Environmental law | Analysis | Numerical analysis
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2012, Volume 109, Issue 24, p. 244303
One of the most challenging and basic problems in elastic rod dynamics is a description of rods in contact that prevents any unphysical self-intersections.... 
KIRCHHOFF RODS | SYSTEMS | PHYSICS, MULTIDISCIPLINARY | DNA | SELF-CONTACT | Models, Theoretical | Elasticity | Friction | Surface Properties | Chaotic Dynamics | Dynamical Systems | Biological Physics | Nonlinear Sciences | Mathematics | Physics
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 1/2012, Volume 309, Issue 2, pp. 413 - 458
... V ariational Problems François Gay-Balmaz 1 , Darryl D. Holm 2 , David M. Meier 2 , Tudor S. Ratiu 3 , François-Xavier Vialard 2 1 Laboratoire de Météorologie... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EQUATIONS | SPLINES | REDUCTION | PHYSICS, MATHEMATICAL | METRICS | GEOMETRY | Mathematical Physics | Data Analysis, Statistics and Probability
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 12/2013, Volume 210, Issue 3, pp. 773 - 811
...Digital Object Identifier (DOI) 10.1007/s00205-013-0673-1 Arch. Rational Mech. Anal. 210 (2013) 773–811 Equivalent Theories of Liquid Crystal Dynamics François... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | FLUIDS | EULER-POINCARE EQUATIONS | SYSTEMS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | DOUBLE-BRACKET DISSIPATION | Mathematical Physics
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2010, Volume 239, Issue 20, pp. 1929 - 1947
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2012, Volume 53, Issue 12, p. 123502
By using the moment algebra of the Vlasov kinetic equation, we characterize the integrable Bloch-Iserles system on symmetric matrices [Bloch, A. M.,... 
FLUIDS | EQUATIONS | SQUEEZED STATES | PHYSICS, MATHEMATICAL | STABILITY | Algebra | Dynamics | Mathematical analysis | Matrices | Kinetic theory | Inclusions | Matrix methods | Subgroups | Mathematical Physics | Physics
Journal Article
Forum of mathematics. Sigma, ISSN 2050-5094, 2016, Volume 4, pp. 1 - 54
... MECHANICS FRANÇOIS DEMOURES1,2, FRANÇOIS GAY-BALMAZ2 and TUDOR S. RATIU3,4 1 Department of Mathematics, Imperial College, London, UK; email: demoures@lmd.ens.fr 2 LMD... 
Computational Mathematics | MATHEMATICS | FRICTIONAL CONTACT | MATHEMATICS, APPLIED | PENALTY | FONCTIONNELLE | CONTACT PROBLEMS | DYNAMICS | SYMPLECTICITY | MIXED FORMULATION | CONSTRAINTS | UNILATERAL CONTACT | OPTIMIZATION | Continuum mechanics | Integrators
Journal Article