A New Mathematical Justification for the Hypothesis of the Longevity of Jupiter’s Great Red Spot  

作　　者：Mahammad A. Nurmammadov Mahammad A. Nurmammadov(Theoretical Astrophysics and Cosmology of Shamakhy Astrophysical Observatory Named after N. Tusi of the Ministry of Science and Education of Republic of Azerbaijan, Shamakhy, Azerbaijan)

机构地区：[1]Theoretical Astrophysics and Cosmology of Shamakhy Astrophysical Observatory Named after N. Tusi of the Ministry of Science and Education of Republic of Azerbaijan, Shamakhy, Azerbaijan

出　　处：《Open Journal of Applied Sciences》2023年第9期1512-1529,共18页应用科学（英文）

摘　　要：As is known, the Great Red Spot (GRS) is one of the most mysterious sights in the solar system and is a strong storm that is quite large. According to the laws of hydrodynamics and gas dynamics, it should have disappeared several centuries ago, but scientists still observe it and cannot accurately explain this phenomenon. Since turbulence and atmospheric waves in the GRS region absorb the energy of its winds, the vortex loses energy by radiating heat. In the work, it is proved with a mathematical and non-classical approach that the GRS and anticyclones will live for a long time;otherwise, we had to first of all prove that the vortex threads (loops) and ovals could not exist. Based on these supports, mathematical methods prove their existence forever by observing a large vortex (GRS);moreover, they are sources of heat. When proofs are obtained, the results are consistent with the previous hypotheses of the researcher. The introduction of the work gives a comparison of various hypotheses;for example, one of them states that the decrease in the size of the GRS is only an illusory observation. Next, we first consider the applicability conditions for the mathematical justification of the hypothesis of the longevity of the Great Red Spot. The wind equation and the GRS are energized by absorbing smaller eddies and ovals, and this total energy is constant. With the help of the KH mechanism in the case of Brunt Vaisala, the frequencies (which can be calculated by a program with given formulas) are determined using very strictly mathematical evidence to substantiate the validity of the hypothesis about the longevity of Jupiter’s Great Red Spot.As is known, the Great Red Spot (GRS) is one of the most mysterious sights in the solar system and is a strong storm that is quite large. According to the laws of hydrodynamics and gas dynamics, it should have disappeared several centuries ago, but scientists still observe it and cannot accurately explain this phenomenon. Since turbulence and atmospheric waves in the GRS region absorb the energy of its winds, the vortex loses energy by radiating heat. In the work, it is proved with a mathematical and non-classical approach that the GRS and anticyclones will live for a long time;otherwise, we had to first of all prove that the vortex threads (loops) and ovals could not exist. Based on these supports, mathematical methods prove their existence forever by observing a large vortex (GRS);moreover, they are sources of heat. When proofs are obtained, the results are consistent with the previous hypotheses of the researcher. The introduction of the work gives a comparison of various hypotheses;for example, one of them states that the decrease in the size of the GRS is only an illusory observation. Next, we first consider the applicability conditions for the mathematical justification of the hypothesis of the longevity of the Great Red Spot. The wind equation and the GRS are energized by absorbing smaller eddies and ovals, and this total energy is constant. With the help of the KH mechanism in the case of Brunt Vaisala, the frequencies (which can be calculated by a program with given formulas) are determined using very strictly mathematical evidence to substantiate the validity of the hypothesis about the longevity of Jupiter’s Great Red Spot.

关 键 词：Mathematical Models JUPITER TURBULENCE Longevity of GRS ANTICYCLONE Hydrodynamic Equilibrium 

分 类 号：O17[理学—数学]