# On the shear flow instability in the great red spot of Jupiter

## TL;DR

This paper investigates shear flow instability in Jupiter's Great Red Spot using linear analysis of Navier-Stokes equations, revealing high instability rates and beat-like sound wave solutions.

## Contribution

It introduces a detailed linear analysis of shear flow instability in Jupiter's Great Red Spot considering two wave vector regimes, with numerical solutions showing significant instability.

## Key findings

- Both regimes show flow instability with high growth rates.
- Harmonic wave vector regime exhibits beat-like sound wave solutions.
- Flow instability could influence the dynamics of the Great Red Spot.

## Abstract

In the present paper we study instability caused by the velocity shear flows of the great red spot of Jupiter. For the purpose, we imply the Navier Stokes and the continuity equations, perform the linear analysis of the governing equations and numerically solve them. We have considered two different regimes: exponential and harmonic behaviour of wave vectors. It has been shown that both scenarios reveal unstable character of flows and the corresponding rate might be considerably high. For the case of harmonic time dependence of wave vectors we also found a beat like solution of sound waves.