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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 |
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| Preprint Link: | https://arxiv.org/abs/2103.06840v2 (pdf) |
| Date accepted: | April 1, 2022 |
| Date submitted: | March 22, 2022, 9:17 a.m. |
| Submitted by: | Natalia Pinzani-Fokeeva |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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)