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Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits

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IGG: Image Generation Informed by Geodesic Dynamics in Deformation Spaces
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Introduction
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LDDMEm: Large Deformation Diffeomorphic Metric Embedding
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Benamou-Brenier and other continuous numerical methods
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Functionals on the space of probabilities
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Variational Principles in Fluid Dynamics, Symmetries and Conservation Laws
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Fast Geodesic Regression for Population-Based Image Analysis
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Efficient Parallel Transport in the Group of Diffeomorphisms via Reduction to the Lie Algebra
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Non Linear Propagation in Reissner Beams: An Integrable System?
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MHD Stability
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Euler-Poincaré Equation Approach
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Seminar on New Results in Nonlinear Partial Differential Equations
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A Hamiltonian Particle Method for Diffeomorphic Image Registration
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The Group and Hamiltonian Descriptions of Hydrodynamical Systems
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Differential Geometric Heuristics for Riemannian Optimal Mass Transportation
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Contribution a L'etude du Mouvement du Corps Rigide a n Dimensions Autour d'un Point Fixe.
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Lagrangian Chaos
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Mechanical Systems: Symmetries and Reduction
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Bayesian Estimation of Regularization and Atlas Building in Diffeomorphic Image Registration
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A Hierarchical Geodesic Model for Diffeomorphic Longitudinal Shape Analysis
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IDiff: Irrotational Diffeomorphisms for Computational Anatomy
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Differential Geometry Applied to Acoustics: Non Linear Propagation in Reissner Beams
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Fluid Dynamic Limits of the Kinetic Theory of Gases
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Geometric Mechanics, Lagrangian Reduction, and Nonholonomic Systems
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On the Rotated Stress Tensor and the Material Version of the Doyle-Ericksen Formula
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Evolving Magnetostatic Equilibria
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Some Remarks on Geometric Mechanics
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Algebraization of 2-D Ideal Fluid Hydrodynamical Systems and Their Finite-Mode Approximations
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Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour
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The Algebra of Hamiltonian Systems
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Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems
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Introduction
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Physical Boundaries
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Ergodic Theory
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The geometry and curvature of shape spaces
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Global time evolution of viscous vortex rings
inferred← citeshttps://doi.org/10.1007/978-94-009-5468-7_8openalex-snapshot
On the Rapid Generation of Magnetic Fields
inferred← citeshttps://doi.org/10.1007/978-94-010-0446-6_10openalex-snapshot
Geometric and Topological Aspects of Vortex Motion
inferred← citeshttps://doi.org/10.1007/978-94-010-0446-6_14openalex-snapshot
Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics
inferred← citeshttps://doi.org/10.1007/978-94-010-0446-6_7openalex-snapshot
Introduction to a Geometrical Theory of Fluid Flows and Dynamical Systems
inferred← citeshttps://doi.org/10.1007/978-94-010-0446-6_9openalex-snapshot
Topological Features Of Inviscid Flows
inferred← citeshttps://doi.org/10.1007/978-94-010-1508-0_22openalex-snapshot
Symplectic Manifolds, Dynamical Groups, and Hamiltonian Mechanics
inferred← citeshttps://doi.org/10.1007/978-94-011-5118-4_65openalex-snapshot
An Alternative to Shell-Models: More Complete and Yet Simple Models of Intermittency
inferred← citeshttps://doi.org/10.1007/978-94-011-5258-7_26openalex-snapshot
On The Geometry of Current Groups and a Model of The Landau-Lifschitz Equation
inferred← citeshttps://doi.org/10.1007/978-94-017-2008-3_14openalex-snapshot
On Mechanical Systems with a Lie Group as Configuration Space
inferred← citeshttps://doi.org/10.1007/978-94-017-3550-6_14openalex-snapshot
Topology of Steady Fluid Flows
inferred← citeshttps://doi.org/10.1007/978-94-017-3550-6_15openalex-snapshot
Extremal Properties and Hamiltonian Structure of the Euler Equations
inferred← citeshttps://doi.org/10.1007/978-94-017-3550-6_29openalex-snapshot
Kinematical Instability and Line-Stretching in Relation to the Geodesics of Fluid Motion
inferred← citeshttps://doi.org/10.1007/bf00136868openalex-snapshot
Global solutions of the Navier-Stokes equation with strong viscosity
inferred← citeshttps://doi.org/10.1007/bf00251249openalex-snapshot
A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
inferred← citeshttps://doi.org/10.1007/bf00251662openalex-snapshot
Hamiltonian one parameter groups
inferred← citeshttps://doi.org/10.1007/bf00251673openalex-snapshot
The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
inferred← citeshttps://doi.org/10.1007/bf00279963openalex-snapshot
Hamiltonian structures and stability for rigid bodies with flexible attachments
inferred← citeshttps://doi.org/10.1007/bf00281556openalex-snapshot
On the rotated stress tensor and the material version of the Doyle-Ericksen formula
inferred← citeshttps://doi.org/10.1007/bf00375139openalex-snapshot
The dual Least Action Problem for an ideal, incompressible fluid
inferred← citeshttps://doi.org/10.1007/bf00398331openalex-snapshot
An attempt to relate area-preserving diffeomorphisms to Kac-Moody algebras
inferred← citeshttps://doi.org/10.1007/bf00398428openalex-snapshot
Reduction of Poisson manifolds
inferred← citeshttps://doi.org/10.1007/bf00416015openalex-snapshot
On the euler equation: Bi-Hamiltonian structure and integrals in involution
inferred← citeshttps://doi.org/10.1007/bf00574155openalex-snapshot
Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics
inferred← citeshttps://doi.org/10.1007/bf00773452openalex-snapshot
On the curvature of the diffeomorphisms group
inferred← citeshttps://doi.org/10.1007/bf00914351openalex-snapshot
Lagrangian reduction and the double spherical pendulum
inferred← citeshttps://doi.org/10.1007/bf00917449openalex-snapshot
Helicity and Kirillov forms in incompressible Euler flow
inferred← citeshttps://doi.org/10.1007/bf00917577openalex-snapshot
On non-integrability of general systems of differential equations
inferred← citeshttps://doi.org/10.1007/bf00968944openalex-snapshot
Curvature of the group of measure-preserving diffeomorphisms of the n-dimensional torus
inferred← citeshttps://doi.org/10.1007/bf00971132openalex-snapshot
Curvatures of the diffeomorphism group and the space of volume elements
inferred← citeshttps://doi.org/10.1007/bf00972420openalex-snapshot
Structure of the curvature tensor of the group of measure-preserving diffeomorphisms of a compact two-dimensional manifold
inferred← citeshttps://doi.org/10.1007/bf01011633openalex-snapshot
Nonequilibrium Phenomena: Outlines and bibliographies of a workshop
inferred← citeshttps://doi.org/10.1007/bf01015793openalex-snapshot
Quantum projective field theory: Quantum-field analogs of the Euler-Arnol'd equations in projectiveG multiplets
inferred← citeshttps://doi.org/10.1007/bf01017251openalex-snapshot
Nonlinear dynamics of the magnetization of ferromagnets and motion of a generalized solid with flow group
inferred← citeshttps://doi.org/10.1007/bf01053743openalex-snapshot
A maximum-entropy principle for two-dimensional perfect fluid dynamics
inferred← citeshttps://doi.org/10.1007/bf01075243openalex-snapshot
Integral geodesics of A flow on Lie groups
inferred← citeshttps://doi.org/10.1007/bf01077484openalex-snapshot
Curvature of groups of diffeomorphisms preserving the measure of the 2-sphere
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