Tudor Ratiu
Publications
Area preserving flows and metriplectic dynamics on an annulus
Geometric Mechanics. 2025. DOI : 10.1142/s2972458925500066.Cotangent Bundle Reduction
Encyclopedia of Mathematical Physics; Elsevier, 2024. p. 415 - 423.Simultaneous local normal forms of dynamical systems with singular underlying geometric structures
NONLINEARITY. 2024. DOI : 10.1088/1361-6544/ad700d.The Restricted Siegel Disc as Coadjoint Orbit
2024. 40TH WORKSHOP ON GEOMETRIC METHODS IN PHYSICS (WGMP), Bialowieza, POLAND, 2023-07-02 - 2023-07-08. p. 59 - 79. DOI : 10.1007/978-3-031-62407-0_6.Stochastic Variational Principles for Dissipative Equations with Advected Quantities
Journal Of Nonlinear Science. 2023. DOI : 10.1007/s00332-022-09846-1.Symplectic induction, prequantum induction, and prequantum multiplicities
Communications In Contemporary Mathematics. 2022. DOI : 10.1142/S0219199721500577.Wigner Measures and Coherent Quantum Control
Proceedings Of The Steklov Institute Of Mathematics. 2021. DOI : 10.1134/S0081543821020061.On the Eringen model for nematic liquid crystals
Comptes Rendus Mecanique. 2021. DOI : 10.5802/crmeca.67.Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type
Research In The Mathematical Sciences. 2020. DOI : 10.1007/s40687-020-00227-2.Quantum Anomalies via Differential Properties of Lebesgue-Feynman Generalized Measures
Proceedings Of The Steklov Institute Of Mathematics. 2020. DOI : 10.1134/S0081543820050077.Presymplectic convexity and (ir)rational polytopes
Journal of Symplectic Geometry. 2019. DOI : 10.4310/JSG.2019.v17.n5.a8.The Clebsch Representation in Optimal Control and Low Rank Integrable Systems
2018. Abel Symposium on Computation and Combinatorics in Dynamics, Stochastics and Control, Rosendal, NORWAY, 2016-08-16 - 2016-08-19. p. 129 - 158. DOI : 10.1007/978-3-030-01593-0_5.Integrable Systems of Neumann Type (vol 27, pg 533, 2015)
Journal Of Dynamics And Differential Equations. 2017. DOI : 10.1007/s10884-016-9540-8.The Geometric Nature of the Flaschka Transformation
Communications In Mathematical Physics. 2017. DOI : 10.1007/s00220-017-2854-5.Noether Theorems and Quantum Anomalies
Doklady Mathematics. 2017. DOI : 10.1134/S1064562417010112.The tropical momentum map: a classification of toric log symplectic manifolds
Mathematische Annalen. 2017. DOI : 10.1007/s00208-016-1427-9.A multisymplectic integrator for elastodynamic frictionless impact problems
Computer Methods In Applied Mechanics And Engineering. 2017. DOI : 10.1016/j.cma.2016.11.011.Existence and uniqueness theorems for the full three-dimensional Ericksen-Leslie system
Mathematical Models & Methods In Applied Sciences. 2017. DOI : 10.1142/S0218202517500178.On unique solvability of the full three-dimensional Ericksen-Leslie system
Comptes Rendus Mecanique. 2016. DOI : 10.1016/j.crme.2016.02.010.Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties
Journal Of Nonlinear Mathematical Physics. 2016. DOI : 10.1080/14029251.2016.1135642.Nematodynamics and random homogenization
Applicable Analysis. 2016. DOI : 10.1080/00036811.2015.1036241.Multisymplectic Variational Integrators For Nonsmooth Lagrangian Continuum Mechanics
Forum Of Mathematics Sigma. 2016. DOI : 10.1017/fms.2016.17.Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System
Journal Of Mathematical Fluid Mechanics. 2016. DOI : 10.1007/s00021-016-0250-0.Bi-Jacobi Fields And Riemannian Cubics For Left-Invariant SO(3)
Communications In Mathematical Sciences. 2016. DOI : 10.4310/CMS.2016.v14.n1.a3.Multisymplectic variational integrators and space/time symplecticity
Analysis And Applications. 2016. DOI : 10.1142/S0219530515500025.Hamiltonian Structures in the Quantum Theory of Hamilton-Dirac Systems
Doklady Mathematics. 2015. DOI : 10.1134/S1064562415010214.Discrete variational Lie group formulation of geometrically exact beams dynamics
Numerische Mathematik. 2015. DOI : 10.1007/s00211-014-0659-4.Wigner Quantization of Hamilton-Dirac Systems
Doklady Mathematics. 2015. DOI : 10.1134/S1064562415010287.Algebraic Complete Integrability of the Bloch-Iserles System
International Mathematics Research Notices. 2015. DOI : 10.1093/imrn/rnu111.Quantum anomalies and logarithmic derivatives of feynman pseudomeasures
Doklady Mathematics. 2015. DOI : 10.1134/S1064562415060356.Fiber connectivity and bifurcation diagrams of almost toric integrable systems
Journal Of Symplectic Geometry. 2015.L-2-cohomology and complete Hamiltonian manifolds
Journal Of Geometry And Physics. 2015. DOI : 10.1016/j.geomphys.2014.07.012.Geometry of non-holonomic diffusion
Journal Of The European Mathematical Society. 2015. DOI : 10.4171/Jems/504.Existence and Uniqueness Theorems in Two-Dimensional Nematodynamics. Finite Speed of Propagation
Doklady Mathematics. 2015. DOI : 10.1134/S106456241503028X.The geometry of the universal Teichmuller space and the Euler-Weil-Petersson equation
Advances In Mathematics. 2015. DOI : 10.1016/j.aim.2015.04.005.Noether's theorem for dissipative quantum dynamical semi-groups
Journal Of Mathematical Physics. 2015. DOI : 10.1063/1.4907985.Dynamics of particles with anisotropic mass depending on time and position
Doklady Mathematics. 2015. DOI : 10.1134/S1064562415060241.The U (n) free rigid body: Integrability and stability analysis of the equilibria
Journal Of Differential Equations. 2015. DOI : 10.1016/j.jde.2015.08.021.Lagrangian Reductions and Integrable Systems in Condensed Matter
Communications In Mathematical Physics. 2015. DOI : 10.1007/s00220-015-2317-9.Wigner measures and quantum control
Doklady Mathematics. 2015. DOI : 10.1134/S1064562415020271.Integrable Systems of Neumann Type
Journal Of Dynamics And Differential Equations. 2015. DOI : 10.1007/s10884-013-9314-5.Multisymplectic Lie group variational integrator for a geometrically exact beam in R3
Communications in Nonlinear Science and Numerical Simulation. 2014. DOI : 10.1016/j.cnsns.2014.02.032.Nonexistence of smooth solutions for a full viscous isentropic liquid crystal system in three dimensions
Physica D-Nonlinear Phenomena. 2014. DOI : 10.1016/j.physd.2014.02.009.Integrable G-strands on semisimple Lie groups
Journal of Physics A: Mathematical and Theoretical. 2014. DOI : 10.1088/1751-8113/47/7/075201.Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems
Doklady Mathematics. 2014. DOI : 10.1134/S1064562414010190.Moduli spaces of toric manifolds
Geometriae Dedicata. 2014. DOI : 10.1007/s10711-013-9858-x.Spectral series of the Schrodinger operator with delta-potential on a three-dimensional spherically symmetric manifold
Russian Journal Of Mathematical Physics. 2013. DOI : 10.1134/S1061920813030072.On the coupling between an ideal fluid and immersed particles
Physica D-Nonlinear Phenomena. 2013. DOI : 10.1016/j.physd.2013.09.004.Extensions of Lie-Rinehart algebras and cotangent bundle reduction
Proceedings of the London Mathematical Society. 2013. DOI : 10.1112/plms/pdt030.Equivalent Theories of Liquid Crystal Dynamics
Archive For Rational Mechanics And Analysis. 2013. DOI : 10.1007/s00205-013-0673-1.Hamiltonian and Feynman Aspects of Secondary Quantization
Doklady Mathematics. 2013. DOI : 10.1134/S1064562413030174.Dirac Optimal Reduction
International Mathematics Research Notices. 2013. DOI : 10.1093/imrn/rnr239.Stability of Equilibria for the so(4) Free Rigid Body
Journal Of Nonlinear Science. 2012. DOI : 10.1007/s00332-011-9113-2.Lie Group and Lie Algebra Variational Integrators for Flexible Beam and Plate in R3
Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5556.Bifurcation diagram for the Kovalevskaya case on the lie algebra so(4)
Doklady Mathematics. 2012. DOI : 10.1134/S106456241206004X.Dirac Structures, Nonholonomic Systems And Reduction
Reports On Mathematical Physics. 2012. DOI : 10.1016/S0034-4877(12)60016-0.Euler-Poincare Approaches to Nematodynamics
Acta Applicandae Mathematicae. 2012. DOI : 10.1007/s10440-012-9719-x.Exact geometric theory of dendronized polymer dynamics
Advances In Applied Mathematics. 2012. DOI : 10.1016/j.aam.2011.11.006.Lie group and Lie algebra variational integrators for flexible beam and plate in R3
2012Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrodinger operator with delta-potential on a surface of revolution
Doklady Mathematics. 2012. DOI : 10.1134/S1064562412050365.Invariant Higher-Order Variational Problems II
Journal Of Nonlinear Science. 2012. DOI : 10.1007/s00332-012-9137-2.Invariant Higher-Order Variational Problems
Communications in Mathematical Physics. 2012. DOI : 10.1007/s00220-011-1313-y.Invariant frames for vector bundles and applications
Geometriae Dedicata. 2012. DOI : 10.1007/s10711-011-9618-8.Reduced Variational Formulations in Free Boundary Continuum Mechanics
Journal Of Nonlinear Science. 2012. DOI : 10.1007/s00332-012-9143-4.Invariant generators for generalized distributions
Differential Geometry And Its Applications. 2011. DOI : 10.1016/j.difgeo.2011.08.010.Geometry of nonabelian charged fluids
Dynamics Of Partial Differential Equations. 2011. DOI : 10.4310/DPDE.2011.v8.n1.a2.Asynchronous variational integrators as a mechanical tool for dimensioning thin-shell structures
2011Induced Dirac structures on isotropy-type manifolds
Transformation Groups. 2011. DOI : 10.1007/s00031-011-9123-z.Obituary: Jerry Marsden
Dynamics Of Partial Differential Equations. 2011. DOI : 10.4310/DPDE.2011.v8.n1.a1.Singular Reduction Of Dirac Structures
Transactions Of The American Mathematical Society. 2011. DOI : 10.1090/S0002-9947-2011-05220-7.Flexible beam in R3 under large overall motions and Asynchronous Variational Integrators
2011. IABSE-IASS Symposium 2011, London, Great-Britain, September 20-23, 2011.Lagrange-Poincare field equations
Journal Of Geometry And Physics. 2011. DOI : 10.1016/j.geomphys.2011.06.007.The Momentum Map Representation of Images
Journal Of Nonlinear Science. 2011. DOI : 10.1007/s00332-010-9079-5.Dirac Group(oid)s and Their Homogeneous Spaces
Lausanne, EPFL, 2011. DOI : 10.5075/epfl-thesis-5064.Clebsch Optimal Control Formulation In Mechanics
Journal Of Geometric Mechanics. 2011. DOI : 10.3934/jgm.2011.3.41.Higher order Lagrange-Poincar, and Hamilton-Poincar, reductions
Bulletin Of The Brazilian Mathematical Society. 2011. DOI : 10.1007/s00574-011-0030-7.Introduction to Geometric Mechanics and AVI
Presentation at the Aeronautics & Astronautics Laboratory, MIT, Boston, Massachusetts, USA, May 13, 2010.A New Lagrangian Dynamic Reduction In Field Theory
Annales De L Institut Fourier. 2010. DOI : 10.5802/aif.2549.AVI as a Mechanical Tool for Studying Dynamic and Static Euler-Bernoulli Beam Structures
2010. 1st EPFL Doctoral Conference in Mechanics, Advances in Modern Aspects of Mechanics, Lausanne, February 19, 2010. p. 69 - 72.AVI as a mechanical tool for studying thin-shells based on Kirchhoff-Love constraints
6th Annual Structured Integrators Workshop, University of California, San Diego, USA, April 26-27, 2010.Symmetry Reduced Dynamics of Charged Molecular Strands
Archive For Rational Mechanics And Analysis. 2010. DOI : 10.1007/s00205-010-0305-y.Remembering Jerry Marsden IN MEMORIAM
Regular & Chaotic Dynamics. 2010. DOI : 10.1134/S1560354710060018.A Class of Integrable Flows on the Space of Symmetric Matrices
Communications In Mathematical Physics. 2009. DOI : 10.1007/s00220-009-0849-6.Openness And Convexity For Momentum Maps
Transactions Of The American Mathematical Society. 2009. DOI : 10.1090/S0002-9947-08-04689-8.Infinite dimensional geodesic flows and the universal Teichmüller space
Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4254.The geometric structure of complex fluids
Advances In Applied Mathematics. 2009. DOI : 10.1016/j.aam.2008.06.002.Poisson Reduction by Distributions
Letters In Mathematical Physics. 2009. DOI : 10.1007/s11005-009-0295-6.The Momentum Map In Poisson Geometry
American Journal Of Mathematics. 2009. DOI : 10.1353/ajm.0.0068.Variational Principles For Spin Systems And The Kirchhoff Rod
Journal Of Geometric Mechanics. 2009. DOI : 10.3934/jgm.2009.1.417.Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations
2008. 5th International Conference on Poisson Geomentry in Mathematics and Physics, Tokyo, JAPAN, Jun 05-09, 2006. p. 113 - 126.Perspectives in fluid dynamics - Introduction
Physica D-Nonlinear Phenomena. 2008. DOI : 10.1016/j.physd.2008.04.003.Induction for weak symplectic Banach manifolds
Journal of Geometry and Physics. 2008. DOI : 10.1016/j.geomphys.2008.01.003.Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids
Journal Of Symplectic Geometry. 2008.A local-to-global principle for convexity in metric spaces
Journal of Lie Theory. 2008.Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids
2008. Meeting held in Honor of Darryl D Holms on Geometry and Analysis in Physical Systems, Lausanne, SWITZERLAND, Jul 22-28, 2007. DOI : 10.1088/1751-8113/41/34/344007.Induced and coinduced Banach Lie-Poisson spaces and integrability
Journal Of Functional Analysis. 2008. DOI : 10.1016/j.jfa.2008.06.001.Singular cosphere bundle reduction
Transactions of the American Mathematical Society. 2007. DOI : 10.1090/S0002-9947-07-04229-8.Hamiltonian reduction by stages
Springer, 2007.Group actions on chains of Banach manifolds and applications to fluid dynamics
Annals of Global Analysis and Geometry. 2007. DOI : 10.1007/s10455-007-9061-0.Some applications of symmetries in differential geometry and dynamical systems
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3937.Geometric representation theory for unitary groups of operator algebras
Advances in Mathematics. 2007. DOI : 10.1016/j.aim.2006.02.009.The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
Journal of Functional Analysis. 2007. DOI : 10.1016/j.jfa.2007.03.001.The stratified spaces of a symplectic Lie group action
Rep. Math. Phys.. 2006. DOI : 10.1016/S0034-4877(06)80040-6.On the symmetry breaking phenomenon
International Journal of Geometric Methods in Modern Physics. 2006. DOI : 10.1142/S021988780600134X.The reduced spaces of a symplectic Lie group action
Annals of Global Analysis and Geometry. 2006. DOI : 10.1007/s10455-006-9017-9.Symmetry and Symplectic Reduction
Encyclopedia of Mathematical Physics: Five-Volume Set; Elsevier, 2006. p. 190 - 198.Existence, uniqueness and regularity of solutions for a thermomechanical model of shape memory alloys
Math. Mech. Solids. 2006. DOI : 10.1177/1081286505046477.Poisson Reduction
Encyclopedia of Mathematical Physics; Elsevier, 2006. p. 79 - 84.Cotangent Bundle Reduction
Encyclopedia of Mathematical Physics; Elsevier, 2006. p. 658 - 667.Symplectic leaves in real Banach Lie-Poisson spaces
Geometric & Functional Analysis. 2005. DOI : 10.1007/s00039-005-0524-9.The Lie-Poisson structure of the LAE-$\alpha$ equation
Dynamics of Partial Differential Equations. 2005. DOI : 10.4310/DPDE.2005.v2.n1.a2.The universal covering and covered spaces of a symplectic Lie algebra action
The breadth of symplectic and Poisson geometry; Birkhäuser Boston, 2005. p. 571 - 581.Symmetry breaking for toral actions in simple mechanical systems
Journal of Differential Equations. 2005. DOI : 10.1016/j.jde.2005.06.003.Asymptotic and Lyapunov stability of constrained and Poisson equilibria
Journal of Differential Equations. 2005. DOI : 10.1016/j.jde.2004.09.016.A crash course in geometric mechanics
Geometric mechanics and symmetry; Cambridge Univ. Press, 2005. p. 23 - 156.Preface
The breadth of symplectic and Poisson geometry; Birkhäuser Boston, 2005. p. ix - xxiii.Banach Lie-Poisson spaces
Twenty years of Bialowieza: a mathematical anthology; World Sci. Publ., Hackensack, NJ, 2005. p. 113 - 127.Cocycles, compatibility, and Poisson brackets for complex fluids
Advances in multifield theories for continua with substructure; Birkhäuser Boston, 2004. p. 51 - 73.Controllability of Poisson systems
SIAM Journal on Control and Optimization. 2004. DOI : 10.1137/S0363012902401251.Symmetry reduction in symplectic and Poisson geometry
Letters in Mathematical Physics. 2004. DOI : 10.1007/s11005-004-0898-x.Extensions of Banach Lie-Poisson spaces
Journal of Functional Analysis. 2004. DOI : 10.1016/j.jfa.2004.02.012.The relation between local and global dual pairs
Mathematical Research Letters. 2004. DOI : 10.4310/MRL.2004.v11.n3.a7.Singular reduction of implicit Hamiltonian systems
Rep. Math. Phys.. 2004. DOI : 10.1016/S0034-4877(04)90013-4.A fluid problem with Navier-slip boundary conditions
Complementarity, duality and symmetry in nonlinear mechanics; Kluwer Acad. Publ., 2004. p. 241 - 254.Momentum maps and Hamiltonian reduction
Boston: Birkhäuser, 2004.Some remarks on a certain class of axisymmetric fluids of differential type
Phys. D. 2004. DOI : 10.1016/j.physd.2003.10.013.Relative equilibria near stable and unstable Hamiltonian relative equilibria
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2004. DOI : 10.1098/rspa.2003.1213.The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
Nonlinearity. 2003. DOI : 10.1088/0951-7715/16/3/318.Reduction in principal bundles: covariant Lagrange-Poincaré equations
Communications in Mathematical Physics. 2003. DOI : 10.1007/s00220-003-0797-5.Gauge invariance and variational trivial problems on the bundle of connections
Differential Geom. Appl.. 2003. DOI : 10.1016/S0926-2245(03)00016-0.Variational principles for Lie-Poisson and Hamilton-Poincaré equations
Moscow Mathematical Journal. 2003. DOI : 10.17323/1609-4514-2003-3-3-833-867.Correction to: "Hamiltonian Hopf bifurcation with symmetry" [Arch. Ration. Mech. Anal. bf 163 (2002), no. 1, 1--33; refcno 1905135]
Archive for Rational Mechanics and Analysis. 2003. DOI : 10.1007/s00205-003-0244-y.Cosphere bundle reduction in contact geometry
Journal of Symplectic Geometry. 2003.Banach Lie-Poisson spaces and reduction
Communications in Mathematical Physics. 2003. DOI : 10.1007/s00220-003-0948-8.Bifurcation of relative equilibria in mechanical systems with symmetry
Advances in Applied Mathematics. 2003. DOI : 10.1016/S0196-8858(02)00503-1.The Euler-Poincaré equations in geophysical fluid dynamics
Large-scale atmosphere-ocean dynamics, Vol. II; Cambridge Univ. Press, 2002. p. 251 - 300.A symplectic slice theorem
Letters in Mathematical Physics. 2002. DOI : 10.1023/A:1014407427842.The symmetric representation of the rigid body equations and their discretization
Nonlinearity. 2002. DOI : 10.1088/0951-7715/15/4/316.Unstable manifolds of relative equilibria in Hamiltonian systems with dissipation
Nonlinearity. 2002. DOI : 10.1088/0951-7715/15/3/301.A short proof of chaos in an atmospheric system
Phys. Lett. A. 2002. DOI : 10.1016/S0375-9601(02)00828-9.The optimal momentum map
Geometry, mechanics, and dynamics; New York: Springer, 2002. p. 329 - 362.Hamiltonian Hopf bifurcation with symmetry
Archive for Rational Mechanics and Analysis. 2002. DOI : 10.1007/s002050200182.Critical point theory and Hamiltonian dynamics around critical elements
Symmetry and perturbation theory (Cala Gonone, 2001); World Sci. Publ., River Edge, NJ, 2001. p. 151 - 158.Trivial Lagrangians on connections and invariance under automorphisms
Steps in differential geometry (Debrecen, 2000); Inst. Math. Inform., Debrecen, 2001. p. 77 - 83.Euler-Poincaré reduction on principal bundles
Letters in Mathematical Physics. 2001. DOI : 10.1023/A:1013303320765.Geometric mechanics, Lagrangian reduction, and nonholonomic systems
Mathematics unlimited - 2001 and beyond; Springer, 2001. p. 221 - 273.Lagrangian reduction by stages
2001.The Euler equations on thin domains
International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999); World Sci. Publ., River Edge, NJ, 2000. p. 1198 - 1203.Reduction in principal fiber bundles: covariant Euler-Poincaré equations
Proceedings of the American Mathematical Society. 2000. DOI : 10.1090/S0002-9939-99-05304-6.The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
Geom. Funct. Anal.. 2000. DOI : 10.1007/PL00001631.Reduction theory and the Lagrange-Routh equations
Journal of Mathematical Physics. 2000. DOI : 10.1063/1.533317.Stability of Hamiltonian relative equilibria
Nonlinearity. 1999. DOI : 10.1088/0951-7715/12/3/315.A Dirichlet criterion for the stability of periodic and relative periodic orbits in Hamiltonian systems
Journal of Geometry and Physics. 1999. DOI : 10.1016/S0393-0440(99)00025-X.Non-linear stability of singular relative periodic orbits in Hamiltonian systems with symmetry
Journal of Geometry and Physics. 1999. DOI : 10.1016/S0393-0440(99)00024-8.Introduction to mechanics and symmetry: A basic exposition of classical mechanical systems; 2nd edition
New York: Springer-Verlag, 1999.Attracting curves on families of stationary solutions in two-dimensional Navier-Stokes and reduced magnetohydrodynamics
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1998. DOI : 10.1098/rspa.1998.0214.The Euler-Poincaré equations and semidirect products with applications to continuum theories
Advances in Mathematics. 1998. DOI : 10.1006/aima.1998.1721.Lagrangian reduction, the Euler-Poincaré equations, and semidirect products
Geometry of differential equations; Amer. Math. Soc., 1998. p. 1 - 25.Symplectic reduction for semidirect products and central extensions
Differential Geom. Appl.. 1998. DOI : 10.1016/S0926-2245(98)00021-7.On the geometry of the Virasoro-Bott group
Journal of Lie Theory. 1998.Compatibility of symplectic structures adapted to noncommutatively integrable systems
Journal of Geometry and Physics. 1998. DOI : 10.1016/S0393-0440(97)00077-6.Singular reduction of Poisson manifolds
Letters in Mathematical Physics. 1998. DOI : 10.1023/A:1007581632544.Maximal tori of some symplectomorphism groups and applications to convexity
Deformation theory and symplectic geometry (Ascona, 1996); Kluwer Acad. Publ., 1997. p. 201 - 222.A Morse-theoretic proof of Poisson Lie convexity
Integrable systems and foliations/Feuilletages et systèmes intégrables (Montpellier, 1995); Birkhäuser Boston, 1997. p. 49 - 71.Persistence and smoothness of critical relative elements in Hamiltonian systems with symmetry
C. R. Académie des Sciences de Paris Série I Math.. 1997. DOI : 10.1016/S0764-4442(97)88714-9.On a maximal torus in the volume-preserving diffeomorphism group of the finite cylinder
Differential Geom. Appl.. 1997. DOI : 10.1016/S0926-2245(96)00040-X.Hamiltonian reduction of diffeomorphism-invariant field theories
Classical and Quantum Gravity. 1997. DOI : 10.1088/0264-9381/14/2/003.Rotating $n$-gon/$kn$-gon vortex configurations
Journal of Nonlinear Science. 1996. DOI : 10.1007/BF02440160.The Euler-Poincaré equations and double bracket dissipation
Communications in Mathematical Physics. 1996. DOI : 10.1007/BF02101622.The Toda PDE and the geometry of the diffeomorphism group of the annulus
Mechanics day (Waterloo, ON, 1992); Amer. Math. Soc., 1996. p. 57 - 92.Polygonal vortex configurations
New trends for Hamiltonian systems and celestial mechanics; River Edge, NJ: World Sci. Publ., 1996. p. 249 - 262.A convexity theorem for Poisson actions of compact Lie groups
Annales Scientifiques de l'École Normale Supérieure. Série 4. 1996. DOI : 10.24033/asens.1754.Approximations with curves of relative equilibria in Hamiltonian systems with dissipation
Nonlinearity. 1995.Equations d'Euler dans une coque sphérique mince
C. R. Académie des Sciences de Paris Série I Math.. 1995.Dissipation induced instabilities
Annales de l'Institut Henri Poincaré : Analyse Non Linéaire. 1994. DOI : 10.1016/S0294-1449(16)30196-2.Introduction to mechanics and symmetry
Springer-Verlag, 1994.Sub-Riemannian optimal control problems
Hamiltonian and gradient flows, algorithms and control; Amer. Math. Soc., 1994. p. 35 - 48.On the geometrical origin and the solutions of a degenerate Monge-Ampère equation
Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990); Amer. Math. Soc., 1993. p. 55 - 68.On a nonlinear equation related to the geometry of the diffeomorphism group
Pacific Journal Math.. 1993.A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus
Inventiones Mathematicae. 1993. DOI : 10.1007/BF01244316.Smale's topological program in mechanics and convexity
1993. From Topology to Computation: Unity and Diversity in the Mathematical Sciences (Smalefest), Berkeley, 5-9 August 1990. p. 517 - 529. DOI : 10.1007/978-1-4612-2740-3_46.A candidate maximal torus in infinite dimensions
Mathematical aspects of classical field theory (Seattle, WA, 1991); Amer. Math. Soc., 1992. p. 117 - 123.The heavy top: a geometric treatment
Nonlinearity. 1992.Completely integrable gradient flows
Communications in Mathematical Physics. 1992. DOI : 10.1007/BF02099528.The diameter of the symplectomorphism group is infinite
Inventiones Mathematicae. 1991. DOI : 10.1007/BF01239516.An infinite-dimensional point of view on the Weil-Petersson metric
Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989); Amer. Math. Soc., 1991. p. 467 - 476.Convexity and integrability
Symplectic geometry and mathematical physics (Aix-en-Provence, 1990); Birkhäuser Boston, 1991. p. 48 - 79.Symplectic connections and the linearisation of Hamiltonian systems
Proceedings of the Royal Society of Edinburgh Sect. A. 1991. DOI : 10.1017/S030821050002477X.On the diameter of the symplectomorphism group of the ball
Symplectic geometry, groupoids, and integrable systems; Berkeley, CA: Springer, 1991. p. 169 - 172.On the nonlinear convexity theorem of Kostant
Journal of the American Mathematical Society. 1991. DOI : 10.1090/S0894-0347-1991-1086967-2.A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
Bulletin of the American Mathematical Society. 1990. DOI : 10.1090/S0273-0979-1990-15960-9.Reduction, symmetry, and phases in mechanics
1990.Normalizing connections and the energy-momentum method
Hamiltonian systems, transformation groups and spectral transform methods (Montreal, PQ, 1989); Univ. Montréal, 1990. p. 207 - 227.Spectral equations for the long wave limit of the Toda lattice equations
Hamiltonian systems, transformation groups and spectral transform methods (Montreal, PQ, 1989); Univ. Montréal, 1990. p. 97 - 102.A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
Duke Mathematical Journal. 1990. DOI : 10.1215/S0012-7094-90-06103-4.Formal stability of two-dimensional self-gravitating rotating disks
The connection between infinite-dimensional and finite-dimensional dynamical systems (Boulder, CO, 1987); Amer. Math. Soc., 1989. p. 233 - 258.Cartan-Hannay-Berry phases and symmetry
Dynamics and control of multibody systems (Brunswick, ME, 1988); Amer. Math. Soc., 1989. p. 279 - 295.Hamiltonian formulation of adiabatic free boundary Euler flows
Journal of Geometry and Physics. 1989. DOI : 10.1016/0393-0440(89)90017-X.The three-point vortex problem: commutative and noncommutative integrability
Hamiltonian dynamical systems (Boulder, CO, 1987); Amer. Math. Soc., 1988. p. 245 - 257.Manifolds, tensor analysis, and applications
Springer-Verlag, 1988.Nonlinear stability in fluids and plasmas
Seminar on new results in nonlinear partial differential equations (Bonn, 1984); Vieweg, 1987. p. 101 - 134.Stability and bifurcation of a rotating planar liquid drop
Journal of Mathematical Physics. 1987. DOI : 10.1063/1.527740.A Lie group structure for pseudodifferential operators
Mathematische Annalen. 1986. DOI : 10.1007/BF01472130.Soliton mathematics
Presses de l'Université de Montréal, 1986.Formal stability of liquid drops with surface tension
Perspectives in nonlinear dynamics (Silver Spring, Md., 1985); World Sci. Publishing, 1986. p. 71 - 83.The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics; Presses Univ. Montréal, 1986. p. 11 - 124.A Lie group structure for Fourier integral operators
Mathematische Annalen. 1986. DOI : 10.1007/BF01450921.The Hamiltonian structure for dynamic free boundary problems
Phys. D. 1986. DOI : 10.1016/0167-2789(86)90207-1.Reduction of Poisson manifolds
Letters in Mathematical Physics. 1986. DOI : 10.1007/BF00398428.Nonlinear stability of the Kelvin-Stuart cat's eyes flow
Nonlinear systems of partial differential equations in applied mathematics; Amer. Math. Soc., 1986. p. 171 - 186.Nonlinear stability analysis of stratified fluid equilibria
Philos. Trans. Roy. Soc. London Ser. A. 1986. DOI : 10.1098/rsta.1986.0078.Haretu's contribution to the $N$-body problem
Libertas Mathematica. 1985.The Lie group structure of diffeomorphism groups and invertible Fourier integral operators, with applications
1985. Conference on Infinite-dimensional Groups, Berkeley, California, May 10-May 15, 1984. p. 1 - 69. DOI : 10.1007/978-1-4612-1104-4_1.Nonlinear stability of fluid and plasma equilibria
Physics Reports. 1985. DOI : 10.1016/0370-1573(85)90028-6.The group of Fourier integral operators as symmetry group
XIIIth international colloquium on group theoretical methods in physics (College Park, Md., 1984); World Sci. Publishing, 1984. p. 246 - 249.Reduction and Hamiltonian structures on duals of semidirect product Lie algebras
Fluids and plasmas: geometry and dynamics (Boulder, Colo., 1983); Amer. Math. Soc., 1984. p. 55 - 100.Richardson number criterion for the nonlinear stability of three-dimensional stratified flow
Physical Review Letters. 1984. DOI : 10.1103/PhysRevLett.52.2352.Stability of rigid body motion using the energy-Casimir method
Fluids and plasmas: geometry and dynamics (Boulder, Colo., 1983); Amer. Math. Soc., 1984. p. 15 - 23.Gauged Lie-Poisson structures
Fluids and plasmas: geometry and dynamics (Boulder, Colo., 1983); Amer. Math. Soc., 1984. p. 101 - 114.Semidirect products and reduction in mechanics
Transactions of the American Mathematical Society. 1984. DOI : 10.1090/S0002-9947-1984-0719663-1.Canonical maps between semidirect products with applications to elasticity and superfluids
Communications in Mathematical Physics. 1983. DOI : 10.1007/BF01205505.Manifolds, tensor analysis, and applications
Reading, Mass: Addison-Wesley Publishing Co., 1983.Kac-Moody Lie algebras and soliton equations. II. Lax equations associated with $A\sub{1} \sup{(1)}$
Phys. D. 1983. DOI : 10.1016/0167-2789(83)90274-9.Hamiltonian systems with symmetry, coadjoint orbits and plasma physics
1983. p. 289 - 340.Kac-Moody Lie algebras and soliton equations. III. Stationary equations associated with $A\sub{1}\sup{(1)}$
Phys. D. 1983. DOI : 10.1016/0167-2789(83)90275-0.Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics
Phys. Lett. A. 1983. DOI : 10.1016/0375-9601(83)90534-0.The Lie algebraic interpretation of the complete integrability of the Rosochatius system
1982. p. 109 - 115. DOI : 10.1063/1.33628.The Lagrange rigid body motion
Annales de l'Institut Fourier. 1982. DOI : 10.5802/aif.866.Euler-Poisson equations on Lie algebras and the $N$-dimensional heavy rigid body
American Journal of Mathematics. 1982. DOI : 10.2307/2374165.Errata: "Euler-Poisson equations on Lie algebras and the $N$-dimensional heavy rigid body"
American Journal of Mathematics. 1982. DOI : 10.2307/2374063.The C. Neumann problem as a completely integrable system on an adjoint orbit
Transactions of the American Mathematical Society. 1981. DOI : 10.1090/S0002-9947-1981-0603766-3.Euler-Poisson equations on Lie algebras and the $N$-dimensional heavy rigid body
Proc. Nat. Acad. Sci. U.S.A.. 1981. DOI : 10.1073/pnas.78.3.1327.The differentiable structure of three remarkable diffeomorphism groups
Mathematische Zeitschrift. 1981. DOI : 10.1007/BF01214340.The motion of the free $n$-dimensional rigid body
Indiana Univ. Math. J.. 1980. DOI : 10.1512/iumj.1980.29.29046.Involution theorems
1980. NSF-CBMS Conference, Lowell, Massachusetts, March 19–23, 1979. p. 219 - 257. DOI : 10.1007/BFb0092027.On the smoothness of the time $t$-map of the KdV equation and the bifurcation of the eigenvalues of Hill's operator
1979. Biennial Seminar of the Canadian Mathematical Congress, Calgary, Alberta, June 12 – 27, 1978. p. 248 - 294. DOI : 10.1007/BFb0069808.Bifurcations, semiflows, and Navier-Stokes equations
1977. Turbulence Seminar, Berkeley, 1976/77. p. 23 - 35. DOI : 10.1007/BFb0068358.Relations on monoids and realization theory for dynamic systems
Modern trends in cybernetics and systems (Proc. Third Internat. Congr., Bucharest, 1975), Vol. II; Springer, 1977. p. 337 - 350.Elemente de analizu a localu a II
Timisoara: Facultatea de Stiinte ale Naturii, Universitatea din Timisoara, 1976.Elemente de analizu a localu a I
Timisoara: Facultatea de Stiinte ale Naturii, Universitatea din Timisoara, 1976.Actiuni diferentiabile de grupuri Lie compacte
Timisoara: Facultatea de Stiinte ale Naturii, Universitatea din Timisoara, 1975.On the completeness of uniform Schwartz-spaces
An. Univ. Timisoara Ser. Sti. Mat.. 1972.Completeness and projective limits of metric spaces
An. Univ. Timisoara Ser. Sti. Mat.. 1972.Teaching & PhD
Past EPFL PhD Students
Tanya Schmah, Iosif Birtea, Aïda Timofte, Razvan Tudoran, Oana Mihaela Dragulete, François Gay-Balmaz, Madeleine Jotz