In this note, we prove the regularity of solutions of Stokes type syst
ems related to the large scale equations of the ocean [1], the primiti
ve equations of the atmosphere and the coupled system atmosphere-ocean
[2,3]; the regularity of solutions of strongly elliptic nonhomogeneou
s problems in cylinder-type domains is proved with the same generality
as in the homogeneous case and is used in the proof of our results.