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STRUCTURAL STABILITY OF COMPOSITE VORTICES AND ITS APPLICATION TO JUPITER'S GREAT RED SPOT Structural Stability of Composite Vortices and Its Application to Jupiter's Great Red Spot

Опубликовано в Russian Journal of Earth Sciences · Том 26, Номер 4 · Номер статьи: ES4002 · Рубрика: ОРИГИНАЛЬНЫЕ СТАТЬИ
DOI: https://doi.org/10.2205/2026ES001163 · EDN: BPKSOA
Получено: 30.06.2026 Одобрено: 07.09.2026 Опубликовано: 26.09.2026 Язык публикаций: en-US
Within the framework of a baroclinic quasi-geostrophic model of the atmosphere in the f-plane approximation, the properties of mesoscale vortices with a complex vortex core structure consisting of a set of embedded confocal ellipsoidal vortices are studied. These vortex structures are called one-component, two-component, three-component, and other vortex structures, depending on the number of embedded vortices. Such formations are called composite vortices. Two-component stationary composite vortices were previously studied, and it turned out that they do not undergo a unique transformation (transition) to a one-component vortex. In contrast to the generally accepted definition of structural stability/instability, it is this property that we will call structural instability. Here, we will show that a three-component composite vortex is a structurally stable formation upon its transformation into a two-component vortex. The property of structural stability also remains valid for multicomponent composite vortex structures of higher order than a three-component vortex. Thus, in the hierarchy of multicomponent composite vortex structures, the two-component vortex occupies a special place. It is impossible to create a simpler vortex structure from it--a homogeneous vortex--by transforming the geometric dimensions of an embedded internal vortex with continuous changes in all vortex characteristics. A somewhat different two-component composite vortex, composed of a primary stationary vortex and a small, ``weak,'' non-stationary vortex embedded within it, was previously studied. The stability of this formation was demonstrated. The structural stability (in the above sense) of stationary multicomponent vortex structures to similar perturbations is examined, and it is shown that they are also stable. As a fundamental application of the presented theory, an explanation of the properties of a two-component vortex formation--Jupiter's Great Red Spot--is proposed.
Jupiter's Great Red Spot, composite vortex, quasi-geostrophic vortex, non-stationary vortex, potential vorticity
Финансирование
This work was supported by the P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences [State Assignment No. FMWE-2023-0016] (problem formulation, theoretical part of the work), the A.M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences [State Assignment No. FMWR-2025-0009] (analysis of results), Peter the Great St. Petersburg Polytechnic University [Grant No. FSEG-2026-0020] (development of the application), and the Russian Science Foundation [Grant No. 25-17-00021] (computational part of the work).
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1. Arakelyan E. M., Zhmur V. V. and Chkhetiani O. G. Composite Structure of Jupiter’s Great Red Spot. Part 1. Stationary Model // Izvestiya, Atmospheric and Oceanic Physics. — 2026a. — Vol. 62, no. 3. — P. 403–424. — https://doi.org/10.1134/s0001433826700532

2. Arakelyan E. M., Zhmur V. V. and Chkhetiani O. G. Composite structure of Jupiter’s Great Red Spot. Part 2. The non-stationary model // Izvestiya, Atmospheric and Oceanic Physics. — 2026b. — Vol. 62, no. 4. — P. 549–565. — https://doi.org/10.1134/S0001433826700933 — (In print).

3. Asay-Davis X. S., Marcus P. S., Wong M. H., et al. Jupiter’s shrinking Great Red Spot and steady Oval BA: Velocity measurements with the ’Advection Corrected Correlation Image Velocimetry’ automated cloud-tracking method // Icarus. — 2009. — Vol. 203, no. 1. — P. 164–188. — https://doi.org/10.1016/j.icarus.2009.05.001

4. Beaumont D. N. Solitary waves on an unsymmetrical shear flow with applications to Jupiter’s Great Red Spot // Icarus. — 1980. — Vol. 41, no. 3. — P. 400–409. — https://doi.org/10.1016/0019-1035(80)90224-9

5. Bolton S. J., Levin S. M., Guillot T., et al. Microwave observations reveal the deep extent and structure of Jupiter’s atmospheric vortices // Science. — 2021. — Vol. 374, no. 6570. — P. 968–972. — https://doi.org/10.1126/science.abf1015

6. Bouchet F. and Sommeria J. Emergence of intense jets and Jupiter’s Great Red Spot as maximum-entropy structures // Journal of Fluid Mechanics. — 2002. — Vol. 464. — P. 165–207. — https://doi.org/10.1017/s0022112002008789

7. Choi D. S., Banfield D., Gierasch P., et al. Velocity and vorticity measurements of Jupiter’s Great Red Spot using automated cloud feature tracking // Icarus. — 2007. — Vol. 188, no. 1. — P. 35–46. — https://doi.org/10.1016/j.icarus.2006.10.037

8. Dowling T. E. and Ingersoll A. P. Jupiter’s Great Red Spot as a shallow water system // Journal of the Atmospheric Sciences. — 1989. — Vol. 46, no. 21. — P. 3256–3278. — https://doi.org/10.1175/1520-0469(1989)046<3256:jgrsaa>2.0.co;2

9. Flierl G. R. Baroclinic solitary waves with radial symmetry // Dynamics of Atmospheres and Oceans. — 1979. — Vol. 3, no. 1. — P. 15–38. — https://doi.org/10.1016/0377-0265(79)90034-4

10. Flierl G. R., Morrison P. J. and Vilasur Swaminathan R. Jovian vortices and jets // Fluids. — 2019. — Vol. 4, no. 2. — P. 104. — https://doi.org/10.3390/fluids4020104

11. Harkett J., Fletcher L. N., King O. R., et al. The thermal structure and composition of Jupiter’s Great Red Spot from JWST/MIRI // Journal of Geophysical Research: Planets. — 2024. — Vol. 129, no. 10. — e2024JE008415. — https://doi.org/10.1029/2024je008415

12. Kida S. Motion of an elliptic vortex in a uniform shear flow // Journal of the Physical Society of Japan. — 1981. — Vol. 50, no. 10. — P. 3517–3520. — https://doi.org/10.1143/jpsj.50.3517

13. Larichev V. D. and Reznik G. M. On two-dimensional solitary Rossby waves // Doklady Akademii Nauk SSSR. — 1976. — Vol. 231, no. 5. — P. 1077–1079. — (In Russian).

14. Lemasquerier D., Facchini G., Favier B., et al. Remote determination of the shape of Jupiter’s vortices from laboratory experiments // Nature Physics. — 2020. — Vol. 16, no. 6. — P. 695–700. — https://doi.org/10.1038/s41567-020-0833-9

15. Liu T., Wang B. and Choi D. S. Flow structures of Jupiter’s Great Red Spot extracted by using optical flow method // Physics of Fluids. — 2012. — Vol. 24, no. 9. — P. 096601. — https://doi.org/10.1063/1.4752227

16. Marcus P. S. Numerical simulation of Jupiter’s Great Red Spot // Nature. — 1988. — Vol. 331, no. 6158. — P. 693–696. — https://doi.org/10.1038/331693a0

17. McKiver W. J. The ellipsoidal vortex: A novel approach to geophysical turbulence // Advances in Mathematical Physics. — 2015. — Vol. 2015, no. 1. — P. 613683. — https://doi.org/10.1155/2015/613683

18. Meacham S. P. Quasigeostrophic, ellipsoidal vortices in a stratified fluid // Dynamics of Atmospheres and Oceans. — 1992. — Vol. 16, no. 3/4. — P. 189–223. — https://doi.org/10.1016/0377-0265(92)90007-g

19. Meacham S. P., Pankratov K. K., Shchepetkin A. F., et al. The interaction of ellipsoidal vortices with background shear flows in a stratified fluid // Dynamics of Atmospheres and Oceans. — 1994. — Vol. 21, no. 2/3. — P. 167–212. — https://doi.org/10.1016/0377-0265(94)90008-6

20. Nakamula A., Obuse K., Sawado N., et al. Stable solitary vortices in two-dimensional quasi-integrable systems // Journal of Physics: Conference Series. — 2023. — Vol. 2667, no. 1. — P. 012010. — https://doi.org/10.1088/1742-6596/2667/1/012010

21. Nezlin M. V. Baroclinic modification of the barotropic model of the large red spot of Jupiter // JETP Letters. — 1981. — Vol. 34, no. 2. — P. 77–80.

22. Parisi M., Kaspi Y., Galanti E., et al. The depth of Jupiter’s Great Red Spot constrained by Juno gravity overflights // Science. — 2021. — Vol. 374, no. 6570. — P. 964–968. — https://doi.org/10.1126/science.abf1396

23. Petviashvili V. I. Red SPOT of Jupiter and the drift soliton in a plasma // JETP Letters. — 1980. — Vol. 32, no. 11. — P. 619–622.

24. Romanova N. N. Solitary Rossby waves in a baroclinic atmosphere // Izvestiya Akademii Nauk SSSR. Fizika Atmosfery i Okeana. — 1980. — Vol. 16, no. 7. — P. 675–682. — (In Russian).

25. Sada P. V., Beebe R. F. and Conrath B. J. Comparison of the structure and dynamics of Jupiter’s Great Red Spot between the Voyager 1 and 2 encounters // Icarus. — 1996. — Vol. 119, no. 2. — P. 311–335. — https://doi.org/10.1006/icar.1996.0022

26. Sánchez-Lavega A., Hueso R., Eichstädt G., et al. The rich dynamics of Jupiter’s great red spot from JunoCam: Juno images // The Astronomical Journal. — 2018. — Vol. 156, no. 4. — P. 162. — https://doi.org/10.3847/1538-3881/aada81

27. Shetty S. and Marcus P. S. Changes in Jupiter’s Great Red Spot (1979-2006) and Oval BA (2000-2006) // Icarus. — 2010. — Vol. 210, no. 1. — P. 182–201. — https://doi.org/10.1016/j.icarus.2010.06.026

28. Simon A. A., Tabataba-Vakili F., Cosentino R., et al. Historical and contemporary trends in the size, drift, and color of Jupiter’s Great Red Spot // The Astronomical Journal. — 2018. — Vol. 155, no. 4. — P. 151. — https://doi.org/10.3847/1538-3881/aaae01

29. Suetin B. P., Zhmur V. V. and Chkhetiani O. G. Baroclinic Model of Jupiter’s Great Red Spot // Izvestiya, Atmospheric and Oceanic Physics. — 2023. — Vol. 59, no. 3. — P. 243–254. — https://doi.org/10.1134/s0001433823030088

30. Tikhonov A. N. and Samarskii A. A. Equations of Mathematical Physics. — Moscow : Nauka, 1977. — 736 p. — (In Russian).

31. Vasavada A. R., Ingersoll A. P., Banfield D., et al. Galileo imaging of Jupiter’s atmosphere: The Great Red Spot, equatorial region, and white ovals // Icarus. — 1998. — Vol. 135, no. 1. — P. 265–275. — https://doi.org/10.1006/icar.1998.5984

32. Zhmur V. V. Mesoscale ocean eddies. — Moscow : GEOS, 2011. — 384 p. — (In Russian).

33. Zhmur V. V., Belonenko T. V., Novoselova E. V., et al. Application to the World Ocean of the theory of transformation of a mesoscale vortex into a submesoscale vortex filament when the vortex is elongated by an inhomogeneous barotropic flow // Oceanology. — 2023. — Vol. 63, no. 2. — P. 184–194. — https://doi.org/10.1134/s0001437023020157

34. Zhmur V. V. and Pankratov K. K. Dynamics of an ellipsoidal near-surface eddy in an inhomogeneous flow // Okeanologiya. — 1989. — Vol. 29, no. 2. — P. 205–211.

35. Zhmur V. V. and Shchepetkin A. F. Evolution of an ellipsoidal vortex in a stratified ocean in the f-plane approximation // Izvestiya of the Academy of Sciences of the USSR. Atmospheric and Oceanic Physics. — 1991. — Vol. 27, no. 5. — P. 337–346.

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