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Enstrophy without boost symmetry

by Natalia Pinzani-Fokeeva, Amos Yarom

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Submission summary

Authors (as registered SciPost users): Natalia Pinzani-Fokeeva
Submission information
Preprint Link:  (pdf)
Date accepted: 2022-04-01
Date submitted: 2022-03-22 09:17
Submitted by: Pinzani-Fokeeva, Natalia
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Fluid Dynamics
  • High-Energy Physics - Theory
  • Statistical and Soft Matter Physics
Approach: Theoretical


We construct an approximately conserved current for $2+1$ dimensional, Aristotelian (non boost invariant), fluid flow. When Aristotelian symmetry is enhanced to Galilean symmetry, this current matches the enstrophy current responsible for the inverse cascade in incompressible fluids. Other enhancements of Aristotelian symmetry discussed in this work include Lorentzian, Carrollian and Lifshitz scale symmetry.

Published as SciPost Phys. 12, 136 (2022)

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