On zonal steady solutions to the 2D Euler equations on the rotating unit sphere
On zonal steady solutions to the 2D Euler equations on the rotating unit sphere
Abstract The present paper studies the structure of the set of stationary solutions to the incompressible Euler equations on the rotating unit sphere that are near two basic zonal flows: the zonal Rossby–Haurwitz solution of degree 2 and the zonal rigid rotation <?CDATA $Y\,{_1^0}$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>Y</mml:mi> <mml:mrow> <mml:msubsup> …