  The global Schauder estimates for Stokes systems are established by
Solonnikov [15] and [16] while the interior ones may fail generally from
Serrin's counterexample (cf. [14]). Nevertheless, this paper obtains interior
$C^{2,\alpha}$ estimates for velocity and interior $C^{1,\alpha}$ estimates for
pressure in spatial direction. Furthermore, the $C^{\alpha, \frac{\alpha}2}$
estimate is attained for derivatives of curl of velocity. The estimates for
velocity can be achieved pointwisely. The results are sharp and surprising
since no continuity in time variable is assumed for the coefficients and the
righthand side terms.
