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Enstrophy from symmetry
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Enstrophy from symmetry
abstract
We study symmetry principles associated with the approximately conserved enstrophy current, responsible for the inverse {energy} cascade in non relativistic $2+1$ dimensional turbulence. We do so by identifying the accidental symmetry associated with enstrophy current conservation in a recently realized effective action principle for hydrodynamics. Our analysis deals with both relativistic and non relativistic effective actions and their associated symmetries.
Forward citations
Cited by 1 Pith paper
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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints
General relativity admits a magnetic Weyl enstrophy whose approximate conservation, together with energy, enforces a gravitational Fjørtoft constraint biasing nonlinear energy transfer toward lower frequencies in near...
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