On solutions of the Euler equation for incoherent fluid on a rotating sphere

This study delves into the solutions of the Euler equation, specifically applied to the dynamics of incoherent fluids situated on a rotating sphere. The findings are highly relevant to geophysical fluid dynamics, including the modeling of large-scale atmospheric and oceanic circulations, and astrophysical contexts such as planetary interiors and stellar dynamics. By providing new insights into the behavior of such fluid systems, the research contributes to better predictions of weather patterns, ocean currents, and the understanding of planetary formation and evolution.