= Solution
For a <Keplerian shearing sheet>, the shear rate is $S=3\Omega/2$ and the <shearing-sheet tidal potential> is
$$
\boxed{\Phi_{t,m}=-\Omega Sx^2=-\frac32\Omega^2x^2}.
$$
A uniform steady solution is
$$
\Sigma=\Sigma_0,
\qquad P=P_0,
\qquad \mathbf u_0=-Sx\,\mathbf e_y.
$$
The <Coriolis acceleration> of this <linear shear flow> balances the radial tidal acceleration. The only nonzero background component of the <viscous stress tensor> that matters is $T_{xy}=-\nu(\Sigma_0)\Sigma_0S$, which is spatially constant. Hence $\nabla\mathbin\cdot\mathbf T=0$: a local uniform patch has no stress gradient or torque divergence to drive an <accretion flow>.
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