Perfect Fluid Theory and its Extensions

Abstract

We review the canonical theory for perfect fluids, in Eulerian and Lagrangian formulations. The theory is related to a description of extended structures in higher dimensions. Internal symmetry and supersymmetry degrees of freedom are incorporated. Additional miscellaneous subjects that are covered include physical topics concerning quantization, as well as mathematical issues of volume preserving diffeomorphisms and representations of Chern-Simons terms (= vortex or magnetic helicity).

3 figures

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Cited by in corpus (112)

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• The Isospin Asymmetry in Anomalous Fluid Dynamics
• Noncommutative Geometry and Fluid Dynamics
• Noncommutative fluid dynamics in the Snyder space-time
• Equations of fluid dynamics with the l-conformal Galilei symmetry
• Obtaining gauge invariant actions via symplectic embedding formalism
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• Uniting the wave and the particle in quantum mechanics
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• Supersymmetric Fluid Dynamics
• Chaplygin Gravitodynamics
• Nonstandard approach to gravity for the dark sector of the Universe
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• The Quantum Perfect Fluid in 2D
• Noncommutative Fluids
• Magnetofluid Unification in the Yang-Mills Lagrangian
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• Remarks on higher Schwarzians
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• Conformal Fluid Dynamics
• Splitting the source term for the Einstein equation to classical and quantum parts
• Matrix Effective Theories of the Fractional Quantum Hall effect
• New approach to nonrelativistic ideal magnetohydrodynamics
• Perfect fluid dynamics with conformal Newton-Hooke symmetries
• Faddeev-Jackiw analysis for the charged compressible fluid in a higher-derivative electromagnetic field background
• One-loop effects in a self-dual planar noncommutative theory
• Plane waves in noncommutative fluids
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• Field Theory of the Eulerian Perfect Fluid
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• Spontaneous Breaking of (2+1)-dimensional Lorentz Symmetry by an antisymmetric tensor
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• Topological Flux on a Context Manifold Generates Nonreciprocal Collective Dynamics