12-16 May 2025 São Paulo (Brazil)
Instabilities on a two layer shallow water model on the sphere
Breno Raphaldini  1, *@  , Andre Teruya  2@  , Carlos Raupp  3@  
1 : Institute of Mathematics and Statistics [Sao Paulo]
2 : Institute of Astronomy, Geophysics and Atmospheric Sciences
3 : Instituto de Astronomia, Geofísica e Ciências Atmosféricas [São Paulo]
* : Corresponding author

Rossby waves originating in the tachocline of the Sun have been recently proposed as a fundamental mechanism behind the magnetic activity of the Sun. Here, we study stratification effects on the dynamics of those waves using a two layer shallow water model. In particular, we investigate linear instabilities arising in the presence of radial and latitudinal shear.


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