Abstract:The Navier-Stokes equations (NSEs) on the unit sphere plays a major role in weather forecasting models. In this
work, we will discuss the spectral approximation method for NSEs on
the global scale using vector spherical harmonics. Assuming the Gevrey regularity of the function that describes the external
force in the NSEs, we derive L2-error estimates between the exact solution and the approximate solution. This is joint
work with Ian Sloan and M. Ganesh.