  We investigate how the pressure in fluctuating shear flow depends on the
shear rate $S$ and on the system size $L$ by studying fluctuating hydrodynamics
under shear conditions. We derive anomalous forms of the pressure for two
limiting values of the dimensionless parameter $\lambda=SL^2/\nu$, where $\nu$
is the kinematic viscosity. In the case $\lambda \ll 1$, the pressure is not an
intensive quantity because of the influence of the long-range spatial
correlations of momentum fluctuations. In the other limit $\lambda \gg 1$, the
long-range correlations are suppressed at large distances, and the pressure is
intensive. In this case, however, there is the interesting effect that the
non-equilibrium correction to the pressure is proportional to $S^{3/2}$, which
was previously obtained with the projection operator method [K. Kawasaki and J.
D. Gunton, Phys. Rev. {\bf A 8}, 2048, (1973)].
