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Maintenance of a columnar vortex by inertial waves in rotational turbulence

Abstract

We develop a theory that determines the radial profile of the mean velocity in a coherent geostrophic vortex forming in a turbulent rapidly rotating fluid. Following the conditions of our experiments, we assume that the flow in the vortex is sustained by the absorption of short-wavelength inertial waves arriving from the vortex periphery. The nonlinear interaction between waves is assumed negligible in the theory. Comparison with experimental data supports the validity of the developed model.

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BibTeX
@misc{ivchenko2026maintenance,
  title = {{Maintenance of a columnar vortex by inertial waves in rotational turbulence}},
  author = {Nikolay A. Ivchenko and Sergey S. Vergeles and Daniil D. Tumachev and Sergey V. Filatov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06158},
  eprint = {2609.06158},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06158},
}
RIS
TY  - UNPB
TI  - Maintenance of a columnar vortex by inertial waves in rotational turbulence
AU  - Nikolay A. Ivchenko
AU  - Sergey S. Vergeles
AU  - Daniil D. Tumachev
AU  - Sergey V. Filatov
PY  - 2026
DA  - 2026/09/05
PB  - arXiv
DO  - 10.48550/arxiv.2609.06158
UR  - https://arxiv.org/abs/2609.06158
AB  - We develop a theory that determines the radial profile of the mean velocity in a coherent geostrophic vortex forming in a turbulent rapidly rotating fluid. Following the conditions of our experiments, we assume that the flow in the vortex is sustained by the absorption of short-wavelength inertial waves arriving from the vortex periphery. The nonlinear interaction between waves is assumed negligible in the theory. Comparison with experimental data supports the validity of the developed model.
ER  -