TITLE:
A New Mathematical Justification for the Hypothesis of the Longevity of Jupiter’s Great Red Spot
AUTHORS:
Mahammad A. Nurmammadov
KEYWORDS:
Mathematical Models, Jupiter, Turbulence, Longevity of GRS, Anticyclone, Hydrodynamic Equilibrium
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.13 No.9,
September
18,
2023
ABSTRACT: 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.