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Lifts of Symmetric Tensors: Fluids, Plasma, and Grad Hierarchy

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Beyond Equilibrium Thermodynamics
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Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems
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Infinite Dimensional Groups with Applications
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Mathematical Methods of Classical Mechanics
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The Structure of Classical Diffeomorphism Groups
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From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems
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Rational Extended Thermodynamics beyond the Monatomic Gas
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Natural Operations in Differential Geometry
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Symplectic Geometry and Analytical Mechanics
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Topological Methods in Hydrodynamics
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The differentiable structure of three remarkable diffeomorphism groups
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The Euler-Poincaré equations and double bracket dissipation
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Vector fields and generalized vector fields on fibered manifolds
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The Euler-Lagrange resolution
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The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
inferredcites →https://doi.org/10.1007/s00161-018-0621-2openalex-snapshot
Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
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Poisson brackets in condensed matter physics
inferredcites →https://doi.org/10.1016/0019-3577(95)98200-uopenalex-snapshot
A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields
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Collisionless Boltzmann equations and integrable moment equations
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The Hamiltonian structure of the Maxwell-Vlasov equations
inferredcites →https://doi.org/10.1016/0167-2789(83)90134-3openalex-snapshot
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids
inferredcites →https://doi.org/10.1016/0167-2789(83)90136-7openalex-snapshot
Noncanonical Hamiltonian formulation of ideal magnetohydrodynamics
inferredcites →https://doi.org/10.1016/0167-2789(86)90209-5openalex-snapshot
A paradigm for joined Hamiltonian and dissipative systems
inferredcites →https://doi.org/10.1016/0370-1573(85)90028-6openalex-snapshot
Nonlinear stability of fluid and plasma equilibria
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Dissipative hamiltonian systems: A unifying principle
inferredcites →https://doi.org/10.1016/0375-9601(84)90635-2openalex-snapshot
Bracket formulation for irreversible classical fields
inferredcites →https://doi.org/10.1016/0375-9601(86)90541-4openalex-snapshot
Hamiltonian dynamics of a charged fluid, including electro- and magnetohydrodynamics
inferredcites →https://doi.org/10.1016/j.aop.2016.11.003openalex-snapshot
Contact Hamiltonian mechanics
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Role of thermodynamics in multiscale physics
inferredcites →https://doi.org/10.1016/j.geomphys.2016.10.005openalex-snapshot
Lagrangian dynamics on matched pairs
inferredcites →https://doi.org/10.1016/j.jcp.2017.07.020openalex-snapshot
High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics
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A hierarchy of Poisson brackets in non-equilibrium thermodynamics
inferredcites →https://doi.org/10.1016/j.physleta.2007.08.054openalex-snapshot
Vlasov moments, integrable systems and singular solutions
inferredcites →https://doi.org/10.1016/j.physleta.2008.03.034openalex-snapshot
Geometry of Vlasov kinetic moments: A bosonic Fock space for the symmetric Schouten bracket
inferredcites →https://doi.org/10.1017/cbo9780511526411openalex-snapshot
The Geometry of Jet Bundles
inferredcites →https://doi.org/10.1017/cbo9780511613104openalex-snapshot
Foundations of Quantum Group Theory
inferredcites →https://doi.org/10.1063/1.33633openalex-snapshot
Poisson brackets for fluids and plasmas
inferredcites →https://doi.org/10.1063/1.3429581openalex-snapshot
Geometry of plasma dynamics. I. Group of canonical diffeomorphisms
inferredcites →https://doi.org/10.1090/conm/028/751977openalex-snapshot
The Hamiltonian structure of the BBGKY hierarchy equations
inferredcites →https://doi.org/10.1090/conm/028/751978openalex-snapshot
Particle and bracket formulations of kinetic equations
inferredcites →https://doi.org/10.1090/pspum/054.2/1216559openalex-snapshot
Generalized symplectic geometry on the frame bundle of a manifold
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0719663-1openalex-snapshot
Semidirect Products and Reduction in Mechanics
inferredcites →https://doi.org/10.1090/surv/053openalex-snapshot
The Convenient Setting of Global Analysis
inferredcites →https://doi.org/10.1103/physreve.56.6620openalex-snapshot
Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
inferredcites →https://doi.org/10.1103/physreve.56.6633openalex-snapshot
Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism
inferredcites →https://doi.org/10.1103/physreve.95.033121openalex-snapshot
Hamiltonian and Godunov structures of the Grad hierarchy
inferredcites →https://doi.org/10.1103/physrevlett.45.790openalex-snapshot
Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
inferredcites →https://doi.org/10.1103/physrevlett.80.4173openalex-snapshot
Euler-Poincaré Models of Ideal Fluids with Nonlinear Dispersion
inferredcites →https://doi.org/10.1103/revmodphys.70.467openalex-snapshot
Hamiltonian description of the ideal fluid
inferredcites →https://doi.org/10.1142/s0219887811005166openalex-snapshot
LIFTS, JETS AND REDUCED DYNAMICS
inferredcites →https://doi.org/10.1142/s0219887816501280openalex-snapshot
Hamiltonian dynamics on matched pairs
inferredcites →https://doi.org/10.1515/9783110350951openalex-snapshot
Multiscale Thermo-dynamics: Introduction to Generic
inferredcites →https://doi.org/10.1515/jnet-2018-0099openalex-snapshot
Numerical Examination of the Entropic Energy Harvesting in a Magnetohydrodynamic Dissipative Flow of Stokes’ Second Problem: Utilization of the Gear-Generalized Differential Quadrature Method
inferredcites →https://doi.org/10.2969/jmsj/01910091openalex-snapshot
Vertical and complete lifts from a manifold to its cotangent bundle
inferredcites →https://doi.org/10.3390/e16031652openalex-snapshot
Contact Geometry of Mesoscopic Thermodynamics and Dynamics
inferredcites →https://doi.org/10.3390/e21010008openalex-snapshot
From Lagrangian Mechanics to Nonequilibrium Thermodynamics: A Variational Perspective
inferredcites →https://doi.org/10.3934/jgm.2009.1.181openalex-snapshot
Geodesic Vlasov equations and their integrable moment closures
inferredcites →https://doi.org/10.3934/jgm.2012.4.239openalex-snapshot
Geometry ofplasma dynamics II: Lie algebra of Hamiltonian vector fields
inferredcites →https://doi.org/10.4153/cmb-1967-023-xopenalex-snapshot
A Correspondence Principle for Momentum Operators
inferredcites →https://doi.org/10.4153/cmb-1982-019-9openalex-snapshot
A Group Theoretic Approach to the Equations of Plasma Physics
inferredcites →https://doi.org/10.48550/arxiv.0804.3676openalex-snapshot
Geometric dynamics of Vlasov kinetic theory and its moments
inferredcites →https://doi.org/10.48550/arxiv.1809.00521openalex-snapshot
Matched pairs of discrete dynamical systems
inferredcites →https://doi.org/10.48550/arxiv.1904.05958openalex-snapshot
From variational to bracket formulations in nonequilibrium thermodynamics of simple systems
inferredcites →https://doi.org/10.5098/hmt.12.3openalex-snapshot
MAGNETO-CONVECTION OF ALUMINA - WATER NANOFLUID WITHIN THIN HORIZONTAL LAYERS USING THE REVISED GENERALIZED BUONGIORNO'S MODEL
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Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Conformal and Contact Kinetic Dynamics and Their Geometrization
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A Note on Construction of Continuum Mechanics and Thermodynamics
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Multiscale thermodynamics of charged mixtures
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Second order Lagrangian dynamics on double cross product groups
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Conformal and contact kinetic dynamics and their geometrization
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On non-autonomous Hamiltonian dynamics, dual spaces, and kinetic lifts
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On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective
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On geometry of dissipation in multiscale dynamics and thermodynamics
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Variational aspect and kinetic theory of locally conformal dynamics
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Roles of energy and entropy in multiscale dynamics and thermodynamics
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Gradient and GENERIC time evolution towards reduced dynamics
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Bicocycle double cross constructions
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Tulczyjew’s triplet with an Ehresmann connection I: Trivialization and reduction
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Multiscale Thermo-dynamics: Introduction to Generic
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Multiscale theory
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Geometric Aspects of the Isentropic Liquid Dynamics and Vorticity Invariants
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Multiscale Thermodynamics
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Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems
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Matched pair analysis of the Vlasov plasma
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Fluctuating Multiscale Mass Action Law
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CLASSICAL AND MULTISCALE NON-EQUILIBRIUM THERMODYNAMICS
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Epidemiyolojideki Kompartman Modellerinin Eşlenmiş Hamilton Analizi
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