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PreprintCC BY 4.0arXiv

On smooth inviscid vortices with fat tails

Abstract

We derive a family of degenerate vortices with non trivial swirls and fat tails which can be used to bifurcate both stationary and self similar solutions to the three dimensional axi-symmetric incompressible Euler equations.

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BibTeX
@misc{raphael2026smooth,
  title = {{On smooth inviscid vortices with fat tails}},
  author = {Pierre Raphaël and Ayman R. Saïd},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04786},
  eprint = {2609.04786},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04786},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On smooth inviscid vortices with fat tails
AU  - Pierre Raphaël
AU  - Ayman R. Saïd
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.04786
UR  - https://arxiv.org/abs/2609.04786
AB  - We derive a family of degenerate vortices with non trivial swirls and fat tails which can be used to bifurcate both stationary and self similar solutions to the three dimensional axi-symmetric incompressible Euler equations.
ER  -