$LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_{\mathrm{\infty }}(BM{O}^{-1})$

For any weak solution of the Stokes system with drifts in $L_\infty (BMO^{-1})$,weproveareverseH\ddot{o}lderinequalityand$LlogL$-higher integrability of the velocity gradients.