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On magnetohydrodynamic gauge field theory (Q5348001)

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scientific article; zbMATH DE number 6759881

Language	Label	Description	Also known as
English	On magnetohydrodynamic gauge field theory	scientific article; zbMATH DE number 6759881

Statements

scholarly article

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On magnetohydrodynamic gauge field theory (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

11 August 2017

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full work available at URL

https://arxiv.org/abs/1701.00521

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zbMATH Keywords

magnetohydrodynamics

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gauge symmetries

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conservation laws

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helicities

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Casimirs

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Clebsch Potentials

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MaRDI profile type

MaRDI publication profile

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Nonlocal symmetries. Heuristic approach

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Significance of Electromagnetic Potentials in the Quantum Theory

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Topological methods in hydrodynamics

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Symmetries and differential equations

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Applications of symmetry methods to partial differential equations

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Vorticity and symplecticity in Lagrangian fluid dynamics

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Multisymplectic structures and the variational bicomplex

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AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS

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Lin constraints, Clebsch potentials and variational principles

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Conservation properties and potential systems of vorticity-type equations

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Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier–Stokes equations

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On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets

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Multisymplectic formulation of fluid dynamics using the inverse map

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Hyperbolic divergence cleaning for the MHD equations

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Hydromagnetic Dynamo Theory

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Analytical description of stationary ideal MHD flows with constant total pressure

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Natural curvilinear coordinates for ideal MHD equations. Non-stationary flows with constant total pressure

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Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity

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Nonlinear stability of fluid and plasma equilibria

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The Euler-Poincaré equations and semidirect products with applications to continuum theories

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Multisymplectic conservation laws for differential and differential-difference equations

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Perfect fluid theory and its extensions

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A positive conservative method for magnetohydrodynamics based on HLL and Roe methods

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Gauge principle and variational formulation for ideal fluids with reference to translation symmetry

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Variational formulation of ideal fluid flows according to gauge principle

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Variational integrators for reduced magnetohydrodynamics

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Some vorticity theorems and conservation laws for non-barotropic fluids

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The degree of knottedness of tangled vortex lines

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Helicity and the Călugăreanu invariant

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Hamiltonian description of the ideal fluid

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A solution-adaptive upwind scheme for ideal magnetohydrodynamics

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Second Noether theorem for quasi-Noether systems

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Non-local symmetries and conservation laws for one-dimensional gas dynamics equations.

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Gauge symmetries and Noether charges in Clebsch-parameterized magnetohydrodynamics

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Invariants in dissipationless hydrodynamic media

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The Hopf fibration --- seven times in physics

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Multi-symplectic, Lagrangian, one-dimensional gas dynamics

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Vorticity and symplecticity in multi-symplectic, Lagrangian gas dynamics

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Fluid relabelling symmetries, Lie point symmetries and the Lagrangian map in magnetohydrodynamics and gas dynamics

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Scaling symmetries, conservation laws and action principles in one-dimensional gas dynamics

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Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics I: Lie dragging approach

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Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics: II. Noether's theorems and Casimirs

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A THEOREM ON FORCE-FREE MAGNETIC FIELDS

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Aharonov-Bohm effects in magnetohydrodynamics

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A conserved local cross helicity for non-barotropic MHD

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Clebsch parameterization: Basic properties and remarks on its applications

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Identifiers

zbMATH Open document ID

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10.1088/1751-8121/aa7181

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5348001

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