A spectral method for Stokes equations

We find a spectral method for the solutions to Stokes equations in the sphe rical domain. We represent the solutions in terms of spherical harmonics an d find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre fu nctions and two-dimensional complex variable functions are derived. Moreove r the pressure can be decided from structure theorems for homogeneous solut ions. (C) 1999 Elsevier Science Inc. All rights reserved.